Provide an appropriate response.When is it necessary to use a trigonometric function to find the measure of a side of a right triangle?

What will be an ideal response?


When only one side measure is known and one of the acute angles is known.

Mathematics

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Suppose a wire that is 93 feet long is cut into one piece of length x feet and another of length  feet. The first piece is bent into a square, and the second is bent into a circle. The total area enclosed is given by

 square feet.
A: Make a graph of A versus x. Include values of x up to 93 feet.B:  What x-value gives the minimum area? Round your answer to two decimal places, if necessary.C: What is the minimum area? Round your answer to two decimal places, if necessary.

What will be an ideal response?

Mathematics

Solve the problem.An oil well off the Gulf Coast is leaking, with the leak spreading oil over the surface of the gulf as a circle. At any time t, in minutes, after the beginning of the leak, the radius of the oil slick on the surface is  Find the area A of the oil slick as a function of time.

A. A(r(t)) = 9t2 B. A(r(t)) = 9?t C. A(r(t)) = 3?t2 D. A(r(t)) = 9?t2

Mathematics

Solve the equation. +  = -1

A. {5}
B. {0}
C. ?
D.

Mathematics

Find the average rate of change of the function from x1 = 0 to x2 = 3. ? ?

A. The average rate of change from x1 = 0 to x2 = 3 is -2. B. The average rate of change from x1 = 0 to x2 = 3 is 12. C. The average rate of change from x1 = 0 to x2 = 3 is 2. D. The average rate of change from x1 = 0 to x2 = 3 is -12. E. The average rate of change from x1 = 0 to x2 = 3 is 19.

Mathematics