In mathematics‚ the Pythagorean theorem — or Pythagoras’ theorem — is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle). In terms of areas‚ it states: In any right-angled triangle‚ the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle). The theorem can be written as an equation relating the lengths
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Pythagorean Theorem Diana Lorance MAT126 Dan Urbanski March 3‚ 2013 Pythagorean Theorem In this paper we are going to look at a problem that can be seen in the “Projects” section on page 620 of the Math in our World text. The problem discusses Pythagorean triples and asks if you can find more Pythagorean triples than the two that are listed which are (3‚4‚ and 5) and (5‚12‚ and 13) (Bluman‚ 2012). The Pythagorean theorem states that for any right triangle‚ the sum of the squares of the length
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Thomas Theorem A teacher believing a student is more intelligent than they really are could change the interaction between this student and the teacher in many ways. This student could see the teacher having faith in them and perhaps seeing something in them that they don’t see in themselves. It could cause the student to have higher self esteem by this teacher thinking positively about them. This could be detrimental to the student because other students could consider the extra attention
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Find an example online of a graph used in real-life (include the link that goes directly to the webpage with the graph). Describe at least one mathematical feature of the graph (e.g. shape‚ slope‚ coordinates‚ axes‚ quadrants‚ etc.) and how the feature/graph can help us to analyze the real-life situation. Graph for Health Care Spending http://www.kff.org/insurance/snapshot/OECD042111.cfm In this link‚ there are several graphs from various perspectives regarding Health Care Spending in the United
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Intro to Operating Systems Student: Gabriel Guevara Chapter: 5 Exercises Exercise #2 Give at least two “real life” examples (not related to a computer system environment) of each of these concepts: deadlock‚ starvation and race. Describe how the deadlocks could be resolved. 2 real life examples of the concept of deadlock: A. In a presidential election 2 candidates reach an electoral deadlock when neither candidate get a majority of the 270 electoral votes required to win the presidency
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Real Life In this commencement speech the authors purpose is to inform the graduates on life. He is telling them that this chapter of their life is now over and it is time to move on. What is next? Fox is up there preaching to the students about what it is like to be an adult and go through the “day to day” life. We all experience new things in our lives each day and may not succeed every single time. He himself said‚” I am not the wise old fish.” This is him telling us he is not always perfect himself
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find situations in daily life where geometrical notions can be effectively used. In particular‚ in the following examples the student discovers situations in which properties of similar triangles learnt in the classroom are useful. Students need to be made aware of the fact that the study of geometry arose in response to certain human needs. They should know about the use of geometry in our daily or real life. In this project‚ students will discover situations in daily life where geometrical concepts
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bernoulli’s theorem ABSTRACT / SUMMARY The main purpose of this experiment is to investigate the validity of the Bernoulli equation when applied to the steady flow of water in a tape red duct and to measure the flow rate and both static and total pressure heads in a rigid convergent/divergent tube of known geometry for a range of steady flow rates. The apparatus used is Bernoulli’s Theorem Demonstration Apparatus‚ F1-15. In this experiment‚ the pressure difference taken is from h1- h5. The
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The binomial theorem is a simplified way of finding the expansion of a binomial to a certain power. We can of course find the expanded form of any binomial to a certain power by writing it and doing each step‚ but this process can be very time consuming when you get into let’s say a binomial to the 10th power. Example: (x+y)^0=1 of course because anything to the power if 0 equal 1 (x+y)^1= x+y anything to a power of 1 is just itself. (x+y)^2= (x+y)(x+y) NOT x^2+y^2. So expand (x+y)(x+y)=x^2+xy+yx+y^2
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