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Find the lengths of the sides of a right triangle when sin A = 0.25. 1 4 √15 2 √0.25 22. Choose the correct...

21. Select all that apply.
Find the lengths of the sides of a right triangle when sin A = 0.25.
1
4
√15
2
√0.25
22. Choose the correct answer.
What force is required to compress a spring with spring constant k = 400 N/m 0.4 meters?
-160 N
-1,600 N

Answer

21. To find the lengths of the sides of a right triangle when sin A = 0.25, we use the definition of sine: sin A = opposite/hypotenuse. If sin A = 0.25, then opposite/hypotenuse = 1/4. Possible side lengths that satisfy this ratio are 1 (opposite) and 4 (hypotenuse). Therefore, the correct answers are:

  1. 1
  2. 4

22. 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, k = 400 N/m and x = 0.4 m. So, F = -400 * 0.4 = -160 N. The correct answer is:

  1. -160 N

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