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Pythagorean Theorem and Computer Monitors

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Part 1: Measure the distance of the diagonal (from one corner to the opposite corner) of the screen on your computer monitor to the nearest tenth of a centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. Use the Pythagorean theorem to find the width along the horizontal

In your post, include the length of the diagonal, the width, and the calculations needed to determine the horizontal length of your computer monitor. After you have calculated the approximate length using Pythagorean theorem, use a measuring device to measure the horizontal length of your monitor. Was your measurement close? Why might the measurements not be exactly the same?

Typing hint: Type Pythagorean theorem as a^2 + b^2 = c^2. Do not use special graphs or symbols because they will not appear when pasted to the discussion board.

Part 2: Using the Library, web resources, and/or other materials, find a real-life application of a quadratic function. State the application, give the equation of the quadratic function, and state what the x and y in the application represent. Choose at least two values of x to input into your function and find the corresponding y for each. State, in words, what each x and y means in terms of your real-life application. Please see the following example. Do not use any version of this example in your own post. You may use other variables besides x and y, such as t and S depicted in the following example. Be sure to reference all sources using APA style.

Typing hint: To type x-squared, use x^2. Do not use special graphs or symbols because they will not appear when pasted to the Discussion Board.

When thrown into the air from the top of a 50 ft building, a ball's height, S, at time t can be found by S(t) = -16t^2 + 32t + 50. When t = 1, s = -16(1)^2 + 32(1) + 50 = 66. This implies that after 1 second, the height of the ball is 66 feet. When t = 2, s = -16(2)^2 + 32(2) + 50 = 50. This implies that after 2 seconds, the height of the ball is 50 feet.

In your own words, please post a response to the Discussion Board and comment on other postings. You will be graded on the quality of your postings.

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Solution Summary

This provides a real-life application of the Pythagorean theorem using a computer monitor.

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Part 1: You would need to do the work yourself. But let's say you have a diagonal of 13 and a vertical of 5. Then you would do a^2+5^2=13^2. a^2+25=169. a^2=144. a=12.

Part 2: Citation: Americans with Disabilities (2002). Accessibility Guidelines for Buildings and Facilities. Retrieved January 14, 2008, from http://www.access-board.gov/adaag/html/adaag.htm

To be ADA compliant, a ramp must rise 1 inch for every 12 inches in horizontal distance. Using this information, a contractor wants to determine the length of two ramps so he ...

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