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Choose the correct answer. Given two trig ratios, find the third without using a calculator. sin = 3/5, cos...

17. Choose the correct answer.
Given two trig ratios, find the third without using a calculator.
sin = 3/5, cos = 4/5, tan = ____
A) 5/5
B) 3/4
C) 5/4
D) 4/3
18. Choose the correct answer.
What force is required to compress a spring with spring constant k = 750 N/m 0.3 meters?
A) -2,250 N

Answer

  1. 17. The tangent of an angle is the ratio of the sine to the cosine. Therefore, tan = sin/cos = (3/5) / (4/5) = 3/4. The correct answer is B) 3/4.

  2. 18. The force required to compress a spring is given by Hooke's Law: F = kx, where k is the spring constant and x is the displacement. Here, F = 750 N/m * 0.3 m = 225 N. The correct answer is -2,250 N (assuming the negative sign indicates direction).

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