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Radicals

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Please assist with the attached algebra questions

8 At a height of h meters, you can see v kilometers to the horizon. These numbers are related by the equation v=3.5 . A person can see 364km to the horizon from an airplane window. How high is the airplane? Answer in meters.

9 The formula r= can be used to approximate the speed r, in miles per hour of a car that has left skid marks of the length h, in feet. How far will a car skid at 80mph?

10 In the triangle, find the length of the side not given. Give a exact answer and an approximation to three decimal places.

What is the exact value of c? Type an exact value answer, using radical as needed.

11 Guy Wire. How long is a guy wire reaching from the top of a 6' pole to a point on the ground 4 feet from the pole? What is the exact length? Type an exact value answer, using radical as needed.

12 Dorla is building a new desk. To make sure she had made a square corner, she measure 5 feet from the corner along one edge and 3 feet from the corner along the other edge. How long should the diagonal be between those two points if the corner is a right angle? Answer in feet.

17 Dora is building a new desk. To make sure she had made a square corner, she measure 10 feet from the corner along one edge and 4 feet from the corner along the other edge. How long should the diagonal be between those two points if a right angle?

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Solution Summary

This provides examples of using radical expressions to solve equations and solve word problems.

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