Walt Disney: a Cultural Transformation

â€Å"All our dreams can come true, if we have the courage to pursue them. † Walt Disney believed in this passionately. This is one of the many reasons Walt Disney accomplished so many things in his lifetime. With hard work and a great imagination you can truly do anything just as Walt Disney did. Even today Walt Disney’s company is extremely successful. All of the different things that Walt Disney and his company have done have contributed to the world’s popular culture. Walt Disney was born on December 5th, 1901. His parents were Elias and Flora Disney. Walt had a good childhood although it is said that his father had a bad temper that at times he could not control. Walt started to become interested in acting and drawing at a young age. At school, instead of focusing on his work, he would draw endlessly. Among his classmates he was known as Walt Disney, the artist. In 1917 Walt attended the Chicago Art Institute where he gained more experience. He dropped out of school in an attempt to join the army but was too young. Instead of the army, Walt joined the Red Cross where he drove an ambulance for a year. In 1919, Walt moved back to Chicago and started drawing for a living. After a couple fail attempts he and his brother were able to open Disney Brothers Studios. In 1927, Walt had created Oswald the lucky rabbit. Oswald turned out to be a huge success but Walt was betrayed. Universal pictures bought out Walt’s staff and he lost all rights to the character. Walt was desperate to create another successful character like Oswald. In 1928, Walt and his small circle of associates came up with a mouse character. The new character was named Mickey Mouse. At the time they didn’t know how much this little mouse would impact America. Mickey Mouse hit stardom when Steamboat Willie, the first animated short with sound and movement, was released. That’s when Walt Disney Productions was formed. During the time in which Mickey Mouse was introduced America was in the depths of a depression. The economy was hit badly on Black Tuesday October 29th 1929 when the stock market crashed. Then, tragedy struck again when a long drought destroyed crops and farms. So many people lost everything they had. Mickey Mouse was someone to pick them up in those hard times; a source f wishful thinking. In this time unemployment reached historic levels and the whole country looked for prosperity ahead. Throughout the 1930s the Disney cartoons were a business stimulus. Mickey Mouse merchandising exploded and there were a hundred products not only across the country but around the world. Mickey Mouse products were the only thing getting some companies through the Depression. By 1934 Mickey Mouse merchandise was earning around $600,000 a year. Political historians would likely say that the 1930s were the age of Franklin Roosevelt but cultural historians consider it the age of Mickey Mouse. Walt Disney is famous for saying, â€Å"I only hope that we don't lose sight of one thing – that it was all started by a mouse. † Mickey Mouse is now one most recognized faces of all time and an icon of American culture. There is no doubt that Mickey Mouse and his ears are the face of The Disney Studios but Mickey isn’t the only iconic character that the company has created. Hundreds of characters have been born from Disney Studios, although some are more popular than others, they all have contributed to Disney Studios. Around the same time Mickey Mouse was introduced his â€Å"friends†, as they have been come to be called, were created. Mickey’s friends included Minnie Mouse, Donald Duck, Goofy, and Pluto. These characters represented friendship and often taught moral lessons like Disney often did. Snow White and Cinderella started the princess phenomenon. These movies lead to other Disney Princesses including The Sleeping Beauty, The Little Mermaid, Beauty and the Beast, Aladdin, Pocahontas and Rapunzel. Girls around the world look up to these female heroes. The one thing that all these Disney characters have in common is that they will forever be embedded in pop culture. In 1937, Walt Disney made history when Snow White and the Seven Dwarfs was released. The film was the first full length animated film of its time. Critics had little faith in the productive of Snow White and the Seven Dwarfs but were proven wrong when the film earned over 8 million on its first release. The film was such a success that Walt built a studio specifically for the making of animated films. The film became a foundation for future feature length animated films. During the 1940s and 1950s the studio made many animated films including Fantasia, Bambi, Cinderella, Alice n Wonderland, and Peter Pan. Snow White and the Seven Dwarfs was an artistic and technological breakthrough in the entertainment world. Animated films lead to the production of live-action features and television programs. Snow White and the Seven Dwarfs showed that animated films could be just as entertaining as other motion pictures. Walt Disney was known for transforming imagination into reality which was es pecially true when he made Disneyland, the first ever theme park. Disneyland changed the amusement park industry forever when it opened on July 18th 1955. Disneyland was the first start in making theme parks popular. Walt Disney once said, â€Å"Disneyland will never be completed. It will continue to grow as long as there is imagination left in the world. † Although Disneyland was successful, it wasn’t the perfection Walt was looking for. Disneyland in California didn’t meet his vision because of the sleazy restaurants and hotels that were around the park. Fifteen years later Walt decided to build a new theme park in Orlando, Florida that would be a magical experience all around. Walt tried to keep the operation low key by setting up dummy corporations to buy the land. It was a reporter from the Orlando Sentinel newspaper who broke the news that it was Disney who bought the land. Walt never did get to see Disney World completed because of his death on December 15th 1966 of a cardiac arrest. Walt’s brother stayed on the project and Disney World opened to the public on October 1, 1971. Central Florida now has more theme parks than any other place in the world with Walt Disney World resort being the largest recreational resort ever built. The happiest place on earth didn’t just stay in the United States. Besides Disneyland in California and Walt Disney World in Florida there are three other Disney resorts in Tokyo, Paris, and Hong Kong. Many people wonder how such a successful enterprise was created. At first, the Walt Disney Studio wasn’t profitable but it was staying afloat. Even when in debt Walt Disney looked to do more. He made smart moves to fundraise money to start new projects including Disneyland. As early as the 1930s Disney enterprises became global with branch offices in Chicago, Toronto, London, Paris, Copenhagen, Milan, Barcelona, Lisbon, and Sydney. After the death of Walt and his brother, Roy, the company struggled. In 1980s and 1990s the stock grew rapidly which made Disney the largest entertainment empire in the world. Before Walt Disney died he managed to build the first multinational media corporation. Disney now has five business segments including media networks, parks and resorts, studio entertainment, consumer products and interactive media. The Walt Disney Company is now a $60 million dollar company and is the complete entertainment experience. Walt Disney is known for saying â€Å"if your dream it, you can do it. † He and his company are an example of just that. Although Walt Disney died his legacy lives on. The Walt Disney Company continues to create blockbuster films, parks, and television. Disney has made a few hundred movies and more than fifty of them being animated films. There is now a Disney channel on all five continents in several languages. The Walt Disney Company has become part of the world’s culture especially in the United States. He has created some of the most iconic characters of all time including the timeless Mickey Mouse. Disney characters have touched the hearts of people around the world. When the first full length animated movie was made it changed the course of film making forever. Disneyland and Disney World were the start of theme parks as we know them today. The achievements of Walt Disney are impressive and they have laid out the foundation for the whole entertainment industry. Even to this day, Walt Disney will forever be known as the king of animation.

Nafta ( North American Free Trade Agreement - 1449 Words

NAFTA (North American Free Trade Agreement) was formed in 1994 and created one of the world’s largest free trade zones which includes Mexico, United States and Canada. NAFTA is an example of a multilateral approach to free trade. The multilateral approach states that a country will bargain with its trading partners to remove trade restrictions while the other countries do the same. Another multilateral approach is GATT (General Agreement on Tariffs and Trade) which regulates international trade. GATT is comprised of representatives of all WTO member countries. The WTO (World Trade Organization) was established January 1, 1995 and is headquartered in Geneva Switzerland. As of November 2015 there were one hundred sixty-two countries that were members. The Uruguay Round was the most comprehensive international trade agreement and was finalized December 15, 1993. â€Å"Its Final Act prescribes, among other things, that tariffs on industrial products be reduced by an average of m ore than one-third, that trade in agricultural goods be progressively liberalized, and that a new body, the World Trade Organization, be established both to facilitate the implementation of multilateral trade agreements such as the Final Act and to serve as a forum for future negotiations.† (Fieleke, 1995) The Doha Round is the latest round of negotiations that began November 2001. Its aim was to lower trade barriers, revise trade rules and to promote trade in developing countries. (WTO.org) Both theShow MoreRelatedThe North American Free Trade Agreement (NAFTA)1345 Words   |  6 Pages The North American Free Trade Agreement (NAFTA), came into effect on January 1, 1994, creating the largest free trade region in the world, generating economic growth and helping to raise the standard of living for the people of all three countries participating. By strengthening the rules and procedures governing trade and investment, the NAFTA has shown to be a great base for adding to Cana da’s prosperity and has set a valuable example of the benefits of trade liberalization for the rest of theRead MoreNorth American Free Trade Agreement (Nafta)2362 Words   |  10 PagesNorth American Free Trade Agreement (NAFTA) I. Brief overview of NAFTA (mainly for in-class presentation) a. NAFTA Introduction b. Original Expectations II. NAFTA over the last 12 years a. Impact on the U.S. economy i. Jobs (Employment Growth) ii. Labor iii. Income iv. Imports vs. Exports (Trade Deficit) 1. Agriculture v. Economic growth b. Impact on Canadian economy c. Impact on Mexican economy d. Global Impact i. International Business ii. FDI (Foreign Direct Investment) Read MoreNorth American Free Trade Agreement (NAFTA)1764 Words   |  8 PagesNORTH AMERICAN FREE TRADE AGREEMENT (NAFTA) Brief Overview: NAFTA, The North American Free Trade Agreement, came into existence on January 1, 1994. NAFTA is essentially a free-trade agreement between the 3 North American nations of the Unites States, Canada, and Mexico. The major thought behind this treaty was to give the citizens and the companies of the North American nations many incentives to trade between themselves. The duties on U.S goods exported to Mexico were slashed by fifty percent,Read MoreEssay on North American Free Trade Agreement NAFTA1710 Words   |  7 PagesNAFTA: North American Free Trade Agreement Implementation of the North American Free Trade Agreement (NAFTA) began on January 1, 1994, and is one of the United States’ most significant regional trade agreements. The final provisions of the NAFTA were fully implemented on January 1, 2008. With full implementation, the last remaining trade restriction on a handful of agricultural commodities such as U.S. exports to Mexico of corn, dry edible beans, nonfat dry milk and high fructose corn syrupRead MoreNafta And Theu.s. North American Free Trade Agreement1063 Words   |  5 PagesIntroduction The formation of NAFTA (North American Free Trade Agreement) has brought many advantages among the nations of the U.S., Canada, and Mexico. Since its inception in 1994, it is difficult to see the great effect NAFTA has economically whether it is good or bad due to currency fluctuations, and economic growth (Villarreal Fergusson, 2014). This is why the paper will go into the advantages that NAFTA has brought to the countries mentioned above. The advantages that will be discussedRead MoreEssay about North American Free Trade Agreement: Nafta1764 Words   |  8 Pages North American Free Trade Agreement: NAFTA Introduction nbsp;nbsp;nbsp;nbsp;nbsp;I believe that the North American Free Trade Agreement was an inevitable step in the evolution of the United States economic policy. The globilization of the world economy due to technological advances in computers and communications have shrunk the world to the point where no single country acting alone can effectively compete on the foreign market. Even the United States, with its vast resources, can not haveRead MoreNorth American Free Trade Agreement (Nafta)2362 Words   |  10 PagesNorth American Free Trade Agreement (NAFTA) I. Brief overview of NAFTA (mainly for in-class presentation) a. NAFTA Introduction b. Original Expectations II. NAFTA over the last 12 years a. Impact on the U.S. economy i. Jobs (Employment Growth) ii. Labor iii. Income iv. Imports vs. Exports (Trade Deficit) 1. Agriculture v. Economic growth b. Impact on Canadian economy c. Impact on Mexican economy d. Global Impact i. International Business ii. FDI (Foreign Direct Investment) Read MoreNafta, The North American Free Trade Agreement1253 Words   |  6 PagesNAFTA NAFTA, the North American Free Trade Agreement, is the largest free market agreement in the world. It includes the US, Canada, and Mexico, and was put in place on January 1, 1994 (Inc.com). The agreement was signed by US President Bill Clinton, Mexican President Carlos Salinas, and Canadian Prime Minister Jean Chrà ©tien (Sergie, 2014). Its purpose was to do away with tariff barriers between the three nations on goods and services, remove international investment restrictions, and protect intellectualRead MoreEvaluating Naft Was It Worth It?1229 Words   |  5 PagesEvaluating NAFTA: Was it worth it? In 1994, the North American Free Trade Agreement (NAFTA) was enacted between two industrial countries and a yet still developing nation. This was an agreement that was the first of its kind due to the relationship that the countries had and the investment opportunities that it presented. The United States, Canada, and developing Mexico decided to work towards eliminating most tariffs and non-tariff barriers between the three in order to increase the flow of trade in goodsRead MoreThe North American Free Trade Agreement1711 Words   |  7 PagesThis paper will discuss four components of the North American Free Trade Agreement: Background, events, pros and cons. Upon the research, you will discover four online articles to provide more detail and examples. This research will indicate how it was developed and the reasoning on why it would benefit the nation. Also, it will provide events that occur after the agreement was signed by congress and the recession the countries experience d uring the early 2000s. There will be a chart located

Trifles And A Jury Of The 1800s - 1288 Words

Janki Patel English 1102 Proff. Breedlove 10/29/2017 How women were treated in the 18th and 19th century In 18th century and the 19th century the life of women was very difficult compared to present. There were many restrictions over them. The gender discrimination was the main thing that was practiced in that period. The woman was not given the equal rights as man. The main role of woman during that time was as they grow up marry in their caste have babies and feed and nurture the baby. The caste system was very strict at that time, and this was the main trouble to woman at that time. The contrast of this can be seen the stories like â€Å"A Jury of Her Peers† and â€Å"Hills Like White Elephants†. This can also be seen by the writers†¦show more content†¦The men s inability to see the facts of the situation is emphasized by Mrs. Hale and Mrs. Peter’s ability to deduce the discouraging course of Minnie s life over the previous 20 years. In addition, although the male characters see no relevant clues in th e kitchen, the women, once alone, notice evidence in the mere state of the kitchen: All is amiss--the lid is off the sugar canister and a half-full bag is sitting next to it; there is a dish towel in the middle of the half-wiped kitchen table; and the squares for the quilt she is piecing consist of fine, even sewing -except for one block, in which the sewing is crazy. â€Å"What made this woman, they wonder, leave things half-done? What made her nervous enough to make her sewing crazy? What so distracted this woman, who even in jail worried about her preserves and wanted an apron?† (Bendel-Simso) Only women, and only women of similar social and geographical backgrounds, can recognize these clues. Foreshadowing of this evidence is given in the opening paragraph of the story, in which Mrs. Hale s eye makes a scandalized sweep of her kitchen as she is forced to abandon her bread-making half-done when she is unexpectedly called to the crime scene. In the â€Å"Hills Like White E lephants† by Ernest Hemingway, the relation of the boy and girl at that period was shown where they were at the stage of having a child. When they were returning from the trip, they were waiting for the trains in theShow MoreRelated Gender Roles in Susan Glaspells A Jury Of Her Peers and Trifles 1176 Words   |  5 PagesGlaspells A Jury Of Her Peers and Trifles  Ã‚   Twentieth century society places few stereotypical roles on men and women.   The men are not the sole breadwinners, as they once were, and the women are no longer the sole homemakers.   The roles are often reversed, or, in the case of both parents working, the old roles are totally inconsequential.   Many works of literature deal with gendered roles and their effect on society as a whole or on an individual as a person.   A Jury Of Her Peers and Trifles, bothRead MoreWoman Have Historically Been Trapped In The Domestic Sphere1837 Words   |  8 Pagesquietly follow the demands of their husbands. While feminism began to spread rapidly in the late 1800’s and early 1900’s, women still didn’t have right to vote or serve on a jury. As a result, many writers, especially woman, began to produce many pieces of literature that commented on the unfair treatment of woman. One of the highest praised feminist pieces of literature is the one act play, Trifles by Su san Glaspell written in 1916. Based loosely on a murder trial she covered in 1901, she exploresRead MoreSusan Glaspell s A Jury Of Her Peers1408 Words   |  6 PagesGrowing up in Iowa in the 1800s and 1900s, Susan Glaspell took inspiration for many of her stories from personal experiences. As a former courthouse reporter herself, Glaspell’s short story â€Å"A Jury of Her Peers† is based largely on her involvement with a murder case and a kitchen she recalled investigating. â€Å"A Jury of Her Peers,† a rendition of her early play, Trifles, focuses on the homicide of an abusive husband by his wife. While the men investigating the case overlook the various signs of abuseRead MoreSusan Glaspell s `` The Yellow Wallpaper `` And A Jury Of Her Peers ``2004 Words   |  9 PagesThe fight for equality for minorities dates back to the beginning of mankind. Women, in particular, fight for fairness even in today’s society. This everlasting battle can be seen in both â€Å"The Yellow Wallpaper† by Charlotte Perkins Gilman and â€Å"A Jury of Her Peers† by Susan Glaspell. Gilman’s story revolves around a woman who has postpartum depression. Her husband, who is also her physician, uses isolation to try and heal his wife’s â€Å"nervous disease.† Glaspell’s story, on the other hand, describesRead MoreSymbolic Inequality In A Jury Of Her Peers Essay1670 Words   |  7 Pages Symbolic Inequality The oppression of women throughout the centuries can be seen in many literary sources. The system from which women experienced misogyny and oppression is a social structure known as patriarchy. Furthermore, in A Jury of Her Peers, symbolism conveys the patriarchy of the Nineteenth Century. First, it is imperative that one knows what exactly patriarchy is: â€Å"a social system in which power is held by men, through cultural norms and customs that favor men and withhold opportunityRead MoreWomen’s Voice in Literature2562 Words   |  11 PagesWomen’s Voice in Literature In the late 1800s and early 1900s, women’s roles evolved from mere housewives to passionate activists who were fighting for rights to their share of the American dream. The main goal of the women participating in the fight was the right vote. In an effort to rally more to their cause, women used not only organized protests but employed literature to speak out. Written during this time period, â€Å"The Yellow Wallpaper† and â€Å"Trifles† are works that portray women as passive

Sociocultural Theory in Early Childhood Development Essay

Sociocultural is defined as relating to, or involving a combination of social (relating to human society) and cultural (taste in art and manners that are favored by a social group) factors.† (Socialcultural , 2010) You might ask why we are defining these words. It gives a better understanding of Vygotsky beliefs â€Å"that children seek out adults for interaction, beginning at birth, and that development occurs through these interactions.† (Morrison, 2009 sec 14.6) I agree that his theory is the best process for learning. Many people feel that social interaction and learning begin at birth, but there have been research conducted that fetus can learn through parental interaction. According to Fetal memory â€Å"Prenatal memory may be important†¦show more content†¦Lev Vygotsky concept is showing or helping children with a task. They are taught everything through social interaction no matter what it is. They are taught by example, by getting help with the ta sk and are expected to be able to complete it by themselves. With this concept of learning every child is able to learn and evolve into completing activities independently and progressively from what they have learned. It is important that the environment for the child be set with ideas and task that will allow them too mentally, educationally and physically develop with or without adult and peer assistant. Children are taught to mimic things like sounds and action; by mimicking this will help teachers understand how a child learns and what they know. It is important to know what each child understand and what they can progress on from previous teachings; by having them explain what they are doing. â€Å"Intersubjectivity is another concept of Lev Vegotsky â€Å"individuals come to a task, problem, or conversation with their, own subjective ways of making sense of it†. (Morrison, 2009 sec 14) This is for the child to verbally discuss their issue, to show that they understand what they are doing, and that they can talk themselves through a problem. In Early Childhood Development Today stated that â€Å"Lev Vygotsky theory did not focus on children with behavioral issues, learning disabilities and children whose language is other thanShow MoreRelatedThe Sociocultural Theory Essay1710 Words   |  7 Pages The sociocultural theory was developed by a theorist named Lev Vygotsky. Vygotsky was born in 1896 and was from the former Soviet Union. He was a psychologist who had an abundance of ideas and put them into many theories and writings. Although Vygotsky died from tuberculosis at the young age of thirty-eight, his most prominent work was done in a short period of ten years. When he died in 1934, the Soviet Union held most of his work and it was not until about 1960 that his work was translated intoRead MoreThe Effects Of Sociocultural Theories On Children s Learning968 Words   |  4 Pagesmore. This educational program is consistent with current developmental theories and has been successful at educating young children before and during the early school years. Sociocultural theorists believe that the most important concept in a child’s cognitive development is the way other people and the environment shape the child’s learning (Siegler and DeLoache p155), thus Blue’s Clues is based off of this theory of sociocultural because someone is helping to guide the child along and the environmentRead MoreSociocultural Learning Affects the Development of Children Essay1491 Words   |  6 PagesSociocultural Learning Affects the Development of Children ECE 101 Professor Kara Bullock Chakera Simon October 12, 2010 Sociocultural Learning Affects the Development of Children Lev Vygotsky believed that children learn from their own experience. As a teacher I have grown to learn that Vygotsky’s findings are true in so many ways. Just from watching the children in my classroom I see that the Zone of Proximal Development and Scaffolding play a huge part in the development of a child. Read MoreLifespan Development945 Words   |  4 Pages* Lifespan development is the field tha examine pattern of growth, change, and stability in behavior. (womb to tomb) * Major topical Areas (Physical Dev., Cognitive Dev., Personality Dev., Social Dev.) * Physical- Body and the brain. * Cognitive- Growth and behavior * Personality- Stability and change * Social- interaction and relationships grow * Cultural factors and developmental diversity * Broad factors * Orientation toward individualism orRead MoreHistorical Perspectives of Abnormal Psychology1320 Words   |  6 Pagessituation who appears to be behaving abnormally is easier to spot than it is to define the term abnormal behavior. No matter what the definition of abnormal the different perspectives each present a theory concerning its cause. This paper will provide a brief overview of the different perspectives and the theories presented by each. Origins of Psychology Psychology originated as a result of philosophy, going back to the Greeks in the 17th century. Descartes, a French philosopher, established dualismRead MoreLev Vygostky ´s Sociocultual Theory and Deanna Kahn ´s Metacognitive Development Theory773 Words   |  4 Pagesdevelopmental theories, which cover cognitive, socio-emotional, and physical. Among those theorists, for the purpose of this post, I will be considering two of them. First, I will be reviewing the Russian psychologist Lev Vygostsky and his sociocultural theory. Next, I will be looking at Deanna Kuhn and the Metacognitive development theory. One of the psychologists who made a significant contribution and stimulated a lot of studies in addressing the cultural impact in human development was VygostskyRead MoreThe Laws Regarding Corporal Punishment1704 Words   |  7 Pages Paschall, 2009, p. 459-460). This paper will analyze the laws regarding corporal punishment in many countries, the developmental theories such as the behavioral cognitive, and sociocultural in the context of corporal punishment as well as the harmful effects of corporal punishment on the physical, cognitive, and psychosocial development of children in early childhood which ranges from two to six years of age. In many countries such as China, corporal punishment represents an acceptableRead MoreEssay on The Value of Play1370 Words   |  6 PagesThere are numerous theories of play and countless theorists, from Freud and Spencer to Piaget and Vygotsky, who have studied play in relation to what it is and what it does for the child. This essa y will outline the definition and value of play and the importance of how it can foster the child’s learning in regards to these theorists who studied the effects in great detail. It will discuss the how the environments constructed by educators can impact play and the theories of learning relating to theRead MoreHow Theories Of Education Have Changed Thought The Years1647 Words   |  7 Pageshow theories of education have changed thought the years and how teachers and students adapt to these changes. With the changes in multicultural classrooms and how students with disabilities have rights in public education. All early childhood theories have changed so much though the years based on a diverse multicultural world and new laws to protect students, have been put into place to aid these children. Research that was taken back in the 1900 containing educational theories wereRead MoreSocio-cultural Assessment1369 Words   |  5 Pagescommunity, socio-economic status, education and culture that surround them. (Mooney, 2000). When making an assessment on an individual child it is necessary to consider the background and culture in which they exist. Berger (2005), states that human development results from dynamic interactions between developing persons and their surrounding society and culture. (p.45). Every child is influenced by their own individual socio-cultural and historical environments. Infants are by nature attuned to engage

Rock Music and Free Time free essay sample

Regarding the most popular hobbies, people like playing basketball or football, reading, stamp collecting, etc. However, I love to listen to music and also to sing. Have a large and superb collection of tracks and listen to all kinds of music. My collection ranges from hip hop music to rock and from blues music to rap. My hobby is listening to these songs carefully and then to learn them. I sit with a piece of paper and a pen while I write down the lyrics of the songs that I hear.Then I hum along and soon know the tunes too. I switch off the Black Berry recorder and then I pretend to be the singer myself. Sing the song exactly it was sung by the playback singer. I sometimes succeed and I sometimes fail. Once I feel that sing perfectly I tape my own voice. When I listen to the recording I am objective and try to find my faults in singing. We will write a custom essay sample on Rock Music and Free Time or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page This helps me to improve my singing and I feel confident and thrilled. Whenever I go to a party, my friends persuade me to dance. Once I begin, the party livens up, people join in and the place is filled with the sound of music.I feel proud of myself and my friends also praise me because they feel that become the life of the party. I listen to music and I sing every day when I go to school or when have a free time in school. My hobby makes me happy and at least brings joy to my sister and friends. In my opinion, it is necessary that everybody have a hobby. It educates people; they give their pleasure, and help them to use his free time fruitfully. If a person has no hobby, he will turn him free time into something useful? From my point of view, if were you I would listen to music every day. Rock Music and Free Time free essay sample Without music life would be a mistake! My hobbies are singing and dancing. Regarding the most popular hobbies, people like playing basketball or football, reading, stamp collecting, etc. However, I love to listen to music and also to sing. I have a large and superb collection of tracks and I listen to all kinds of music. My collection ranges from hip hop music to rock and from blues music to rap. My hobby is listening to these songs carefully and then to learn them. I sit with a piece of paper and a pen while I write down the lyrics of the songs that I hear.Then I hum along and soon I know the tunes too. I switch off the Black Berry recorder and then I pretend to be the singer myself. I sing the song exactly It was sung by the playback singer. I sometimes succeed and I sometimes fall. We will write a custom essay sample on Rock Music and Free Time or any similar topic specifically for you Do Not WasteYour Time HIRE WRITER Only 13.90 / page Once I feel that I sing perfectly I tape my own voice. When I listen to the recording I am objective and try to find my faults in singing. This helps me to improve my singing and I feel confident and thrilled. Whenever I go to a party, my friends persuade me to dance. Once I begin, the party livens up, people join in and the place is filled with the sound of music.I feel proud of myself and my friends also praise me because they feel that I become the life of the party. I listen to music and I sing every day when I go to school or when I have a free time in school. My hobby makes me happy and at least brings joy to my sister and friends. In my opinion, it is necessary that everybody have a hobby. It educates people; they give their pleasure, and help them to use his free time fruitfully. If a person has no hobby, he will turn him free time into something useful? From my point of view, if I were you I would listen to music every day.

Marketing campaign for a small retail business Essay Example

Marketing campaign for a small retail business Essay In this project I am going to produce a marketing campaign for a small retail business. The business, which I am going to make, will have competitors in the local area. Before I am going to open my business, I will have to decide on a few main things. E.g. which products I am going to sell, the prices at which the products are going to be sold, where my business is going to be located and how I am going to promote my shop and the products. For my marketing Campaign Plan, I am going to develop a small supermarket, which will be called Shoprite. I want to keep the supermarket as small as possible and the products at the best standard. The supermarket will sell essential household products and I also We will write a custom essay sample on Marketing campaign for a small retail business specifically for you for only $16.38 $13.9/page Order now We will write a custom essay sample on Marketing campaign for a small retail business specifically for you FOR ONLY $16.38 $13.9/page Hire Writer We will write a custom essay sample on Marketing campaign for a small retail business specifically for you FOR ONLY $16.38 $13.9/page Hire Writer Would like to stock a selection of sweets/crisps newspapers and magazines, ice creams, fruit and vegetables, cards, yoghurt, cigarettes etc. Shoprite will not be located in central Seaford but on the outskirts of town, mainly in residential areas. The reason for this is that it will save people from driving into town for their necessities. Shoprites competitors will be: 1. Costcutters 2. CO-OP 3. Scoop n weigh 4. Green Grocers Before I decide on the products, which my supermarket will be selling etc. I am first going to draw up a research plan as; it is going to help me with the information that I will need. The data that I will collect, I am going to gather by handing out questionnaires to people aged 10 years and older. The questionnaire will ask questions like; What is your age, sex, what product do you mostly buy, how much do you pay for it, where do you buy your weekly shopping from etc. I am going to do market research by, handing out questionnaires, from the Internet and magazines and by looking at competitors prices. BUSINESS OBJECTIVES In this task I am going to look at the businesses overall aims and objectives. First of all I am going to explain the difference between an aim and an objective. An aim is the overall goal of a business or the main thing the business wants to achieve in the long term. An objective is what a business must do in that term to achieve its aims. For example, it may have the objective of cutting its costs by 5% in order to achieve its aim of surviving a difficult patch. There are five basic aims businesses could follow. For each of the five aims listed below, I am going give two objectives. AIMS OBJECTIVES Survival Match competitors on price and quality, Break even. Growth Increase product range, Increase the number of employees. Maximising Profit Carry out market research, Carry out advertising to maximise sales. Social Responsibility Sponsor an organisation in the local community, Provide a safe and constant service. Prestige Carry out advertising to maximise sales, Improve quality of customer service. In my case, I am only going to use two of the aims that are listed above. The reasons why are as follows: * Survival To me this aim is extremely important. The aim is to make a profit; therefore it is not satisfactory to break-even in the long run. I am going to achieve this aim by staying open later than all my competitors do. * Prestige I am going to try and keep the products that are going to be sold to a better quality/standard than my competitors. For my secondary research, I am going to carry out a questionnaire. MARKETING RESEARCH PLAN The definition of Market Research is, the process of gaining information about customers, competitors and market trends through collecting Primary or Secondary data. In this task, I am going to carry out a marketing research plan to find out; * What customers want * What my competitors are doing * How successful marketing plans have been. Primary Data is information, which has been gathered for a specific purpose through direct investigations such as observations, surveys and through experiment. Secondary Data is information, which already exists such as, accounts and sales records, government statistics, newspaper articles or reports from advertising agencies. There are two well-known market research methods namely: 1. Desk Research (Secondary Research) This research uses existing sources of Information to research the market. E.g. * Company sales reports * Government statistics * Trade Association Publications * Market Research carried out in the past Advantages: * It is less expensive * Quicker to carry out because the information is already available. 2. Field Research (Primary Research) This is research, which involves obtaining new information about the market by asking people. The main methods of collecting Primary Data include: * Questionnaire A list of questions are to be answered by respondents and it is designed to give information about consumers and their tastes. * Test marketing Is a limited introduction of a product or service to test public reaction for a full market strategy. Giving the public a small sample of what is to be offered is a form of test marketing. * Consumer Panels This type of research is quite expensive as, an interviewer has to be employed to interview customers. Advantages: * The information is more accurate Disadvantages: * It costs more money * It takes more time to collect the information than with Desk Research To find out what potential customers want, I am going to draw up a Questionnaire because I feel that it is an easy way to collect data and it is accurate. Below is an example of what my questionnaire is going to look like. QUESTIONNAIRE 1. Which age group do you fall in? (Please tick one box) 10 20 21 30 31-40 41+ 2. Which of the following products do you mostly buy? (Please tick one box) Quick meals newspapers and magazines sweets ice cream 3. How much do you think is a reasonable price to ask for that specific product? (Please state answer) 4. Where do you buy your bread, milk and other house necessities? (Please tick one box) Safeway Sainsburys Somerfield Asda Tesco (Please tick one box) 5. What attracts you to that particular shop? (Please tick one box) Variety of products quality products friendly service 6. Which local newspapers do you read? (Please tick one box) The leader Friday-ad Harold Argus Seaford Cazette 7. Where do you usually find out about new shops? (Please tick one box) Newspapers Internet Magazines Shop windows People Thank you very much for taking the time in answering my questionnaire. Before I am going to let people fill in my questionnaires, I first chose a sample that would work best. In my case I am going to use: * Convenience sampling chooses the individuals that are easiest to reach or sampling that is done easy. Convenience sampling does not represent the entire population. * Stratified sampling a sample obtained by the process of dividing a population into categories representing distinctive characteristics and then selecting a random sample from each category. After I have collected the data, I analysed the outcome on graphs. MARKETING CAMPAIGN OBEJECTIVES I am first of all going to explain what Marketing Objectives are and then I am going to explain the likely Marketing Objectives of my Marketing Campaign Plan I am going to give the definition for each of the following words: Marketing, Marketing Objectives and the Marketing Mix. Marketing: The management process which is responsible for identifying Potentially profitable products and then selling them to customers. Marketing Objectives: Before embarking on any marketing activity, the marketing department must decide on their aims and objectives. An objective is how an aim could be achieved. Marketing Mix: The Marketing Mix is the term used to describe the various Marketing activities of a firm. These are referred to as the 4 Ps. The 4 Ps stand for: * Product goods made or services provided by businesses. * Price A price where the demand for a product equals its supply. * Promotion communication between business and customer, making the customer aware that the product is for sale, telling or explaining to them what the product is. * Place Where a business is situated. e.g. Safeway is situated in the residential area. There are four marketing Objectives that I am going to use for my marketing campaign. * Advertising: To create goodwill in a competitive and changing environment. * Sales Promotion: To maintain/improve levels of sales in a short term. * Promotion: To minimise the bad effects that a change might have on the market. * Market Research: To change existing or develop new products/services to meet customers needs. PRODUCTS I am going to outline the products/services that my business will be offering and then explain how I will differentiate my products/services from my competitors. Shoprite is not going to be anything grand and smart, it is just going to be a plan and simple supermarket, as it isnt going to have a huge selection of different brands (an named product which customers see as being different from other products) and products. All Shoprite will be mainly selling is household necessities, a few newspapers and a small selection of sweets. There is only one way in which I can think of making Shoprite any different from the competitors and that is that: * Shoprite is going to be located on the outskirts of Seaford (in residential areas) so that people can buy their house necessities e.g. bread and milk. Product differentiation means: Making one product different from another, for instance through the quality of a product, its design, packaging or advertising. There is no doubt that Shoprite will have good quality products because I will never be able to get it over my heart if I knew that I ripped off my own customers! PRICE In this task I am going to explain: The factors that affect the choice of pricing strategy, the different pricing strategies available to businesses and which pricing strategies my business will use and why. A business must decide on how they are going to price its products, in making this decision it must consider: * What profit it wants to make. * What your competition is charging for their products * What your customers are prepared to pay for your products. There are several pricing strategies, which are available to businesses: * Cost-plus fixing a price by adding a certain percentage profit margin to the cost of a product. * Penetration setting a low price initially to attract more customers. * Skimming selling a low product or service at a deliberately high price, this is for high quality/unique goods. * Competition a price based on what your competitors are charging. * Price discrimination selling the same product or services for different prices to different segments of the market. * Non-prices competition strategies other than prices which are used to attract customers. For my business to have a good start, I need to think about what pricing strategy Shoprite will use. I thought by starting off, it would be good if my first strategy is competition as I feel that it would be good if I start off by asking the prices which my competitors ask for their products. PLACE This task is about: * The location of my business. * The transport, which my business is going to use. Shoprite is going to be a small supermarket so it will be located on the outskirts of Seaford (preferably in the valley dip area) because I reckon that people would rather quickly buy there house necessities at a shop which is near their home than drive down town. Channels of distribution For a product to sell, it has to be at the right place, at the right time. There is a channel of distribution between the customer and the manufacturer of a product. The channel of distribution that Shoprite will be using is: * Through wholesalers because Shoprite is a small shop and cant buy directly from the manufacturer because my orders are to small so, I will be buying my products through wholesalers. There are a variety of different types of transport that are available. * Road: It is quite expensive and more flexible than any other form of transport. * Rail: Goods, which are carried in bulk for long distances are more, suited for rail transport. * Air: It tends to be used to transport items that require fast delivery or which are highly perishable. * Sea: There are many forms of sea transport which includes: Cargo liners, tankers and container ships. Although it is slow compared to other forms of transport, ships can move bulky items and is more cost effective. Two other methods of transport that arent very popular are Canals and Pipelines. Shoprite will use road transport it is the only type of transport that I will need and it is very flexible and I wouldnt need to move a lot of bulky items. PROMOTION This task is about promotion techniques and the ways to help raise awareness of business products or services and encourage consumers to buy them. There are a few definitions of promotion: * Communication or the main aim between a business and customer. * Making the customer aware that the product is for sale. * Tell or explain to the customers what the product is or how it works. * To make the customers aware of how the product will serve the customers needs. * To persuade the customers to buy the products for the first time or again. Shoprite will use the promotion techniques that are listed below: * Public Relations it is free advertising. Press releases are sent to for example newspapers and magazines to announce new products or company activities that may help to promote a company and its products. * Advertising it is a form of non-personal communication with customers. An advertising message may be informative (provide customers with information) or persuasive (influence or persuade customers) advertising.

Triangles on ACT Math Geometry Guide and Practice Problems

Triangles on ACT Math Geometry Guide and Practice Problems SAT / ACT Prep Online Guides and Tips If you thought the ACT was a big fan of circles, then brace yourself for its absolutely shameless love of triangles. In one breath, you may be expected to find the various dimensions of an obtuse triangle, and the next, an isosceles right triangle. ACT triangle problems will be as numerous as they are varied, so make sure you familiarize yourself with all the different types before test day. This will be your complete guide to ACT trianglesthe types of triangles that will show up on the ACT, the formulas you’ll need to know to solve them, and the strategies you’ll need to apply when approaching a triangle question. We’ll also break down real ACT math problems and give you the walk-throughs on how to most efficiently and effectively tackle any and all triangle problems you come up against. What Are Triangles? Before we go through how to solve a triangle problem, let’s discuss the basics. A triangle is a flat figure made up of three straight lines that connect together at three angles. The sum of these angles is 180 °. Each of the three sides of a triangle is called a â€Å"leg† of the triangle, and the largest (longest) leg is called the â€Å"hypotenuse.† The angle opposite the hypotenuse will always be the largest of the three angles. The sum of any two legs of a triangle must always be greater than the measure of the third side. Why? Because when the sum of two lines is smaller than the measure a third line, they cannot all connect to form a triangle. Triangles that have legs which sum only slightly more than the hypotenuse are quite long and skinny, but they still make the â€Å"bump† of a triangle because they combine to be longer than the third side. But if the legs are too short, they will never meet, no matter how shallow the angle. And if the lines are the exact length of the hypotenuse, then they will flatten to a perfectly straight line, overlapping the hypotenuse precisely. Let's look at an example ACT problem of this kind: A triangle has side lengths of 6 inches and 9 inches. If the third side is an integer, what is the least possible perimeter, in inches, of the triangle? 4 15 18 19 29 We know, based on our rules for the side lengths of triangles, that the sum of two sides must be greater than the third. Because we are trying to find the smallest perimeter, we must find our missing side by taking the difference of our two leg lengths: $9 - 6 = 3$ Considering the sum of two legs must be greater than the third side, our missing side must be greater than 3. (Why? Because $6 + 3 = 9$ and we need the sum to be larger than 9.) If our missing side is an integer value (which we are told is true), and we are trying to find the minimum perimeter value, then our missing side must be the smallest integer greater than 3. Which means that our missing side is 4. To find our perimeter, then, we must add all our sides together: $4 + 6 + 9 = 19$ Our final answer is D, 19. (Note: always pay attention to the exact question you’re being asked and don’t get tricked by bait answers! If you were going too quickly through the test, you might have been tempted to select answer choice A, 4, which was the value of the missing side length. But, since we were asked to find the perimeter, this would have been the wrong answer.) Ready to enter the realm of special triangles (and become insanely awesome)? Special Triangles There are several different kinds of special triangles, all of which commonly appear on the ACT. In this section, we will define and describe all the different kinds of triangles you’ll see on the test. In the next section, we will go through all the formulas you’ll need to know for your ACT triangle problems, as well as how to use them. Equilateral Triangles An equilateral triangle is a triangle that has three equal legs and three equal angles. Though the leg measurements can be anything (so long as they are all equal), the angle measurements must all equal 60 °. Why? Because a triangle’s angles must always total 180 °, and $180/3 = 60$. a Isosceles Triangles An isosceles triangle is a triangle in which two sides and two angles are equal. The sides opposite equal angles will always be equal and the angles opposite equal sides will always be equal. This knowledge will often lead you to the correct answers for many ACT questions in which it seems you are given very little information. (We will go through how to solve this problem later in the guide, but for now, note how it seems as if you are not given enough information. But, if you remember that angles opposite equal lines are also equal, then you’ll see that you now have exactly enough to solve the problem) Right Triangles A right triangle is a triangle in which one of the angles measures 90 ° (90 ° is a right angle). This means that the sum of the other two angles must be 90 ° as well, since a triangle’s angles always add up to 90 °. The leg opposite the 90 ° angle will always be the triangle’s hypotenuse. This is due to the fact that the 90 ° angle will always be the largest angle in a right triangle. (Why? Because two 90 ° angles would make a straight line, not a triangle.) Special Right Triangles There are many different kinds of right triangle and some are considered â€Å"special.† These are triangles that have set angles or side lengths and formulas to correspond with them. Understanding these types of triangles (and their formulas) will save you a significant amount of time as you go through your test. We will go through the formulas that correspond with these types of triangles in the next section, but for now, let’s go through their definitions. Isosceles Right Triangle An isosceles right triangle is just what it sounds likea right triangle in which two sides and two angles are equal. Though the side measurements may change, an isosceles triangle will always have one 90 ° angle and two 45 ° angles. (Why? Because a right triangle has to have one 90 ° angle by definition and the other two angles must add up to 90 °. So $90/2 = 45$.) 30-60-90 Triangles A 30-60-90 triangle is a special right triangle defined by its angles. It is a right triangle due to its 90 ° angle, and the other two angles must be 30 ° and 60 °. 3-4-5, and 5-12-13 Right Triangles 3-4-5 and 5-12-13 triangles are special right triangles defined by their side lengths. The numbers 3-4-5 and 5-12-13 describe the lengths of the triangle’s legs, meaning that, when you have a right triangle with two leg lengths of 4 and 5, then you automatically know that the third leg equals 3. Any consistent multiples of these numbers will also work the same way. So a right triangle could have leg lengths of: 3(1)-4(1)-5(1) = 3-4-5 3(2)-4(2)-5(2) = 6-8-10 3(3)-4(3)-5(3) = 9-12-15 And so on. These are considered special right triangles because all their sides are integers. a a Now it's triangle formula time! Triangle Formulas Now that you know what all your triangles will look like, let’s go through how to find missing variables and information about them. You will not be given any formulas on the ACT, so you must know all of these formulas by heart. (For more on the formulas you’ll need for the ACT math section, check out our guide to the 31 formulas you must know before test day.) But beyond memorizing your formulas, you also must take care to understand themhow they work and when. All the rote memorization in the world won’t help you if you don’t know when or how to apply them when solving your problems. All Triangles Area $a = {1/2}bh$ $b$ is the base of the triangle, which is the length of any one of the triangle’s legs. $h$ is the height of a triangle, found by drawing a straight line (at a 90 ° angle) from the base of the triangle to the opposite angle from the base. This means that, in a right triangle, the height is the length of the leg that meets at a 90 ° angle to the base. In a non-right triangle, you must create a new line for your height. Perimeter $p = l_1 + l_2 + l_3$ Just like with any other kind of plane geometry figure, the perimeter of a triangle is the sum of its outer sides (the triangle’s three legs). Right Triangles Some triangle formulas apply specifically to right triangles, so let's take a look. Pythagorean Theorem $a^2 + b^2 = c^2$ The Pythagorean theorem allows you to find the side lengths of a right triangle by using the lengths of its other sides. $a$ and $b$ signify the shorter legs of the triangle, while $c$ is always the leg opposite the 90 ° angle (the hypotenuse). According to the Pythagorean theorem,$a^2 + b^2 = c^2$. We know that the side with $y$ meters must be our hypotenuse, as it is opposite the 90 degree angle. This means that: $a^2 + b^2 = c^2$ $4^2 + x^2 = y^2$ Now, we need to find $y$ in terms of $x$, which means we need to isolate our $y$. $16 + x^2 = y^2$ $y =√{16 + x^2}$ Our final answer is E, $√{x^2 + 16}$ 3-4-5 and 5-12-13 triangles (and their multiples) are special because you do not need to work through the pythagorean theorem in order to find the side measures of the third length. Remember, if two sides of a right triangle are 12 and 15, then you automatically know the third side is 9 (because $3(3)-4(3)-5(3) = 9-12-15$). Though we can find the length of BC using the Pythagorean theorem, we can also simply know that it is 5. (Why? Because it is the hypotenuse of a right triangle with leg lengths of 3 and 4). Now, we can set up a proportion to find the measure of side AE. The length of AE to its hypotenuse will be in proportion to the length of BD to its hypotenuse. ${AE}/20 = 3/5$ $5AE = 60$ $12$ Our final answer is B, 12. Isosceles Right Triangle $x, x, x√2$ Though you can find the missing side lengths of an isosceles triangle using the Pythagorean theorem, you can also take a shortcut and say that the equal side lengths are $x$ and the hypotenuse is $x√2$. Why does this work? Let’s look at an isosceles right triangle problem. It is given to us that one side length equals 10, so we know the second leg must also equal 10 (because the two legs are equal in an isosceles triangle). We can also find the hypotenuse using the Pythagorean theorem because it is a right triangle. So: $10^2 + 10^2 = c^2$ $100 + 100 = c^2$ $200 = c^2$ $c = √200$ $c = √100 * √2$ (Why were we able to split up our root this way? Check out our guide to ACT advanced integers and its section on roots if this process is unfamiliar to you.) $c = 10√2$ So, we are left with side lengths of 10, 10, and 10√2. Or, in other words, our side lengths are $x, x$, and $x√2$. So our final answer is E, $10√2$ 30-60-90 Triangle $x, x√3, 2x$ Just like with an isosceles right triangle, a 30-60-90 triangle has side lengths that are dictated by a set of rules. Again, you can find these lengths with the Pythagorean theorem, but you can also always find them using the rule: $x, x√3, 2x$, where $x$ is the side opposite 30 °, $x√3$ is the side opposite 60 °, and $2x$ is the side opposite 90 °. a a Make a note now of any formulas that are unfamiliar to you. You will need to know them by test day, so a little practice and organization now will go a long way to keeping them straight in your head. Typical Triangle Questions Most triangle question on the ACT will involve a diagram, though a rare few will be purely word problems. Let’s look at some of the standard types of question in each category. Word Problems Most triangle word problems are fairly simplistic once you draw them out. In fact, often times, the very reason why they give you the problem as a word problem instead of providing you with a diagram is because the test-makers thought the problem would be too easy to solve with a picture. Whenever possible, draw your own diagram when you are given a triangle problem without one. It won’t take you long and it’ll be much simpler for you to visualize the question. This should be a simple figure, but it never hurts to quickly sketch it out in order to keep all our parts in order. We are told that this is a right triangle and we need to find one missing side length, so we will need to use the Pythagorean theorem. $a^2 + b^2 = c^2$ Using our given side lengths for $a$ and $b$, we have: $6^2 + 7^2 = c^2$ $36 + 49 = c^s$ $85 = c^2$ $c = √85$ Our final answer is G, $√85$ Diagram Problems There are several different kinds of triangle problems that involve diagrams. Let’s break them into categories and discuss the strategies for each. Diagram Type 1 - Finding Missing Values Most triangle problems will fall into this categoryyou will be asked to find a missing angle, an area, a perimeter, or a side length (among other things) based on given information. Some of these questions will be more complicated than others, but the ACT will always provide you will enough information to solve a problem, so it’s up to you to put the clues together. Let’s walk through some real ACT math examples of this type: Example 1, First, let us fill in our given information so that we don't lose track of which angles measure what. We know that the interior angles in a triangle sum up to 180 degrees, so we can find ACB by subtracting our givens from 180. $180 - 30 - 110$ $40$ We also know that any straight line will measure 180 degrees. BCD are collinear, which means that they lie on a straight line. We can therefore find angle ACD by subtracting our ACB measure from 180. $180 - 40$ $140$ Our final answer is G, 140 °. Example 2, Similar triangles are in proportion with one another, so we can find the side lengths for triangle BAC by setting up proportions with triangle LKM. ${BA}/{AC} = {LK}/{KM}$ ${BA}/3 = 12.5/7.5$ $7.5BA = 37.5$ $BA = 5$ And our second proportion will follow the same model. ${AC}/{BC} = {KM}/{LM}$ $3/{BC} = 7.5/15$ $7.5BC = 45$ $BC = 6$ Now, we have all the side measures for triangle BAC, which means we can find its perimeter. $5 + 3 + 6$ $14$ Our final answer is B, 14. Diagram Type 2 -Ratios and (In)Equalities These kinds of questions will generally ask you to either find the ratios between parts of different triangles or will ask you whether or not certain sides or angles of triangles are equal or unequal. We are told that AD is equal to BC, which means that their corresponding angles will also be equal. This means that angles CAB and DBA are equal (which consequently means that angles EAB and EBA are equal). We can therefore eliminate answer choice K. Now, if angles CAB and DBA are equal, then angles CBA and DAB must ALSO be equal. Why? Well we know that each triangle has a 90 degree angle and one angle to equal to some unknown measurement (which we could call $x$). This means that the third, remaining, angle (let's call it $y$) must ALSO be the same for each triangle. Each triangle would then be made up of: $180 = 90 + x + y$ This means that we can eliminate answer choice J. By that same reckoning, if angle DAB = angle CBA, then the legs opposite those angles must also be equal. This means that AC = BD, which means that answer choice F can be eliminated. Because AD and CB are equal and both are part of a triangle with a hypotenuse of AB, legs CA and DB will cross in a manner that makes each half of the leg equal to the corresponding half of the leg of the other triangle. In other words, AE = EB and DE = EC. This means we can eliminate answer choice H. The only answer choice we are left with is G.AD CANNOT equal AE. Why? AD is the leg of triangle ADE, while AE is the hypotenuse of that same triangle. From our definitions, we know that the hypotenuse must always be the longest side of the triangle and so it cannot be equal to one of the legs. Our final answer is G. Diagram Type 3 -Multi-Shape or Shapes Within Shapes As you can see from earlier examples, some of the triangle problems on the ACT will involve multiple triangles (or other geometric shapes) combined together. This technique for presenting you problems is designed to challenge your understanding of lines and angles as well as triangles. For these types of problems, you must use the information you are given and solve for more information down the line until you find exactly what you’re looking for. It’s essentially a domino effect of problem solving. Because this problem uses variables, the simplest way to solve it is byplugging in our own numbers. So let us do so. We are told that each unshaded triangle is a congruent right triangle. Because variables can be difficult to work with, let us replace $x$ with 4. (Why 4? Why not!) This means that each triangle has one leg that measures 4 and one leg that measures $2(4) = 8$. Now, we can find the length of one side of the square ABCD by adding our values together. $4 + 8$ $12$ Each side of the square ABCD is equal to 12. Now we can find the total area by squaring this side measure, so: $12^2$ $144$ The total area for ABCD is 144. Now, because each unshaded triangle is a right triangle, we can find the side measures for the shaded square using the Pythagorean theorem. $4^2 + 8^2 = c^2$ $16 + 64 = c^2$ $80 = c^2$ $c = √80$ Since this is the measure of one side of the shaded square, we can now find the area for the shaded square by squaring this number. So: $√80)^2$ $80$ Now, we must simply divide our shaded square by our unshaded square, ABCD, in order to determine what fraction it is of the larger square. $80/144$ $80à · 16 = 5$ and $144à · 16 = 9$ $5/9$ Our final answer is D, $5/9$ Life lessons and triangle strategieswin-win! Strategies for Solving a Triangle Question Because there are so many different kinds of triangle problems, it is difficult to break down one exact path for problem solving them. That said, your greatest assets and strategies when solving triangle problems will be to: 1) Write down your formulas Because you are not given any formulas, you must keep them in your head and in your heart. The good news is that more you practice, the better you’ll be at rattling off triangle areas or side lengths of 30-60-90 triangles or anything else you’ll need. But if you feel like you’ll forget your formulas as you go through your test, take a few seconds and write them down before you start solving your questions. Once you do, they will be there indelibly for you to work from for the rest of the math section, and you won’t have to worry about forgetting them. 2) Use your formulas (and take your short-cuts) Once you’re sure that you’ve remembered your formulas, using them is the absolute most crucial step for any triangle problem. And, considering that most of your formulas essentially act as short-cuts (why bother solving with the Pythagorean theorem when you know that the legs of a 30-60-90 triangle are $x, x√3, 2x$?), you will save yourself a great deal of time and energy when you can keep your formulas on hand and in order. 3) When working with multi-shapes, break it into small steps Remember that dealing with a multi-shape triangle problem is like working with dominos. Each successive piece of information makes way for finding the next piece of information. Don’t get intimidated that you don’t have enough information or that there are too many shapes or lines to deal with. You will always have enough data to go onjust focus on finding one shape and one piece of information at a time, and the dominos will fall into place. 4) Draw it out Draw your own diagrams if you are given none. Draw on top of your diagrams when you are given pictures. Write in your givens and all the measurements you find along the way to your missing variable (or variables), mark congruent lines and angles. The more you can clarify your diagrams, the less likely you’ll be to make careless errors in misplacing or confusing your numbers and equalities. Ready to put your knowledge to the test? Test Your Knowledge Now let's test your triangle knowledge against some more real ACT math problems. 1) 2) 3) 4) Answers: B, F, E, H Answer Explanations: 1)Because we are told that this is an isosceles trapezoid, we know that each non-parallel side must be equal. This means that the angles that capture these sides (angles BDC and ACD) must also be equal. We also know that the interior degrees of a triangle will always sum 180 degrees, so we can find the measure of DXC by subtracting our two known angles from 180. $180 - 25 - 25$ $130$ Now, DB is a straight line, which means that the angles that make the line must total 180 degrees.This means we can find angle BXC by subtracting our known angle from 180. $180 - 130$ $50$ Finally, we again know that a triangle's interior angles will sum to 180, so we can find DBC by subtracting our known angles from 180. $180 - 50 - 35$ $95$ Our final answer is B, 95 °. 2)We know from our triangle definitions that the larger the side opposite an angle, the larger the angle will be. (If you ever feel unsure about the relationships between angles and sides of a triangle, you can also consult your rules and definitions of trigonometry.) So if we drew in some random side measurements for XZ and YZ (so long as they follow the rule that XZ YZ), we can see clearly that angle Y will be greater than angle X. Our final answer is F, angle X angle Y. 3)We are told that the triangle is a hypotenuse right triangle, which means that we can use our shortcuts to find the other two side lengths. We know that an isosceles right triangle has side lengths of $x, x$, and $x√2$. Since we already know that the hypotenuse is $8√2$, we can say that the other two sides both measure 8. Now, we can add together the legs to find the perimeter. $8 + 8 + 8√2$ $16 +8√2$ Our final answer is E, $16 + 8√2$ 4)Before we do anything else, let us fill in our given information. Now, we can know the triangles and the exterior angle are all collinear, which means that the angles that create the line will sum to 180 °. This means we can find angle CBD by subtracting our exterior angle from 180. $180 - 140$ $40$ Now that we have two interior angle measures in triangle DCB, we can find the measure of the third (because the interior angles in a triangle will always add up to 180). $180 - 40 - 47$ $93$ [Note: you may notice that the sum of the two angles not touching the exterior angle sum up to equal the exterior angle$47 + 93 = 140$. This is not a coincidence. It will always be the case that the two non-connected angles will sum to equal the exterior angle of any type of triangle.) Now we again have two angles that create a straight line, which means that we can find the measure of angle CDA by subtracting our known angle from 180 °. $180 - 93$ $87$ And finally, CAD forms a triangle, which means that its interior angles will sum to equal 180. We can find angle ACD by subtracting our two known values from 180 °. $180 - 76 - 87$ $17$ Our final answer is H, 17 °. Aw, yea. You've earned that nap. The Take-Aways Whether it be a trigonometry problem or a geometry problem, you’ll see triangles several times on any given ACT. Though most triangle problems are fairly straight forward, you’ll need to know the basic building blocks of triangles and geometry in order to understand how to solve them. Know your definitions, memorize your formulas, and do your best to keep a clear head as you go through your test. And, as always, practice, practice, practice! The more experience you get in solving the variety of triangle questions the ACT can think to put in front of you, the better off you’ll be. What’s Next? Whoo! You took on triangles and won (give yourself a round of applause)! In the mood for more geometry? Hop on over to our guides on ACT circles, polygons, and solid geometry and round off all your geometry studies in one go. Not sure what topic to tackle next? Make sure you've got a clear idea of all the math topics you'll be tested on and check out all of our ACT math guides for reference and practice. Each guide has definitions, formulas, and real ACT practice questions and will break down the solving process step-by-step. Been procrastinating? Check out our guide on how to take back your study time and beat back those procrastination demons. Looking to get a perfect score? Our guide to getting a 36 on the ACT math (written by a perfect-scorer!) will help get you where you need to go. Want to improve your ACT score by 4 points? Check out our best-in-class online ACT prep program. We guarantee your money back if you don't improve your ACT score by 4 points or more. Our program is entirely online, and it customizes what you study to your strengths and weaknesses. 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