Pitogo High School Pre-calculus 2nd QT Mastery Test #1 Name: _____________________________________________ Date: _________________ Yr.&Sec.: _____________________________________________ Teacher: _________________ Direction: Read the following then answer correctly. Write your answer & solutions on a separate answer sheet. A. True or False. ______1. The area of a triangle equals one-half the product of two of its side lengths and the sine of the angle. ______2. Given only the three
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Shakaro Richardson English 120 Professor Coombes How to perform the ancient art of origami Origami is the ancient art of paper-folding that is believed to originate from Japan. It has made its way across to the western territories‚ and has commercial uses. What makes origami so special though? Does it even help with anything? Performing origami improves hand-eye-coordination‚ creates toys for kids‚ and provides cultural awareness. That a triple threat and it can do so much more than that
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Absolute values In an absolute value‚ everything with it is counted as a positive. ∣-a∣ = --a= a ∣a∣ =a In an equation‚ absolute values have two possibilities when talking about equations ∣a+b∣ =x = a+b=x = a+b= -x e.g. Solve ∣x-4∣=8 x-4=8 OR x-4= -8 x=12 x=-4 Sub both answer into the equation ∣12-4∣ =8 OR ∣-4-4∣ =8 8=8 8=8 Both solution re true so x=12 or x=-4 Absolute inequalities (method 1) If ∣a+b∣ ≤x∣a+b∣
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Geometry in Real Life To become familiar with the fact that geometry (similar triangles) can be Description In this project I tried to find situations in daily life where geometrical notions can be effectively used‚ I selected the following examples: 2. To find height of a tower 1. To find the width of a river iC BS E .co used in real life to find height of certain things and width of many others. m Objective iC BS E.c om To find the width of a river Walked along
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The Five Platonic Solids The five platonic solids are the tetrahedron‚ cube‚ octahedron‚ dodecahedron‚ and a icosahedron. They are named for the greek philosopher Plato. Plato wrote about them in the Timaeus (c.360 B.C.) in which he paired each of the four classical elements earth‚ air‚ water‚ and fire with a regular solid. Earth was paired with the cube‚ air with the octahedron‚ water with the icosahedron‚ and fire with the tetrahedron. The fifth Platonic solid‚ the dodecahedron‚ Plato says that
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Diophantus was a Greek mathematician that lived in Alexandria in the 3rd Century. His estimated birth and passing years are said to be from 150 B.C. to 350 A.D. Although there is not enough information about his life‚ there is a riddle that estimates how long he lived. The mathematic puzzle is known as ‘Diophantus Riddle’. The riddle states he married while he was 33‚ then he had a son who lived for 42 years and the total years Diophantus lived according to the riddle was a total of 84 years. Through
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In today’s world‚ there are a multitude of mathematical theorems and formulas. One theorem that is particularly renowned is the Pythagorean Theorem. The theorem states that the square of the hypotenuse is equal to the sum of the squares of the other two sides of any right triangle. While most people have heard of or even used the Pythagorean Theorem‚ many know little of the man who proved it. Pythagoras was born in 570 BC in Samos‚ Greece. His father‚ Mnesarchus‚ was a merchant from Tyre who traveled
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Castle Rock‚ walk x paces to the north‚ and then walk 2x - 4 paces to the east. If they share their information then they can find x and save a lot of digging. What is x? Given this scenario the Pythagorean Theorem would be the strategy we use to solve for x. I started off with the Pythagorean Theorem. I then plugged the binomials into the Pyth. Thrm. Next I moved (2+6)^2 to le left of the equation by subtracting (2x+6)^2 from both sides. I then squared the expression Next I foiled the expression
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The Neolithic Revolution and the Renaissance provided mankind with new ways of life. Although these advancements in architecture‚ agriculture‚ education and ideas transpired in different periods of history‚ they both had massive effects on our way of life today. Without these revolutions‚ our lives today would be unrecognizable. Life was drastically different before the Neolithic Revolution. During the Paleolithic Period‚ people were nomads. They lived in groups of 20-30‚ and survived solely
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Following completion of your readings‚ complete exercise 4 in the “Projects” section on page 620 of Mathematics in Our World. Make sure you build or generate at least five more Pythagorean Triples using one of the many formulas available online for doing this. After building your triples‚ verify each of them in the Pythagorean Theorem equation. The assignment must include (a) all math work required to answer the problems as well as (b) introduction and conclusion paragraphs. Your introduction should
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