Solve the problem.Two forces of magnitude 25 pounds and 40 pounds act on an object. The force of 40 lb acts along the positive x-axis, and the force of 25 lb acts at an angle of 80° with the positive x-axis. Find the direction and magnitude of the resultant force. Round the direction and magnitude to the nearest whole number.
A. Direction: 40°; magnitude: 47 lb
B. Direction: 4°; magnitude: 65 lb
C. Direction: 51°; magnitude: 51 lb
D. Direction: 29°; magnitude: 51 lb
Answer: D
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Evaluate the expression.3.2 - (-8.9) - (-10.7)
A. 5.0 B. -16.4 C. -22.8 D. 22.8
Provide an appropriate response.Prove that the function f is one-to-one.f(x) = x3 - 4
What will be an ideal response?
Solve the problem.Among a group of 80 investors, 19 owned shares of Stock A, 29 owned shares of Stock B, 40 owned shares of Stock C, 12 owned shares of both Stock A and Stock B, 9 owned shares of Stock A and Stock C, 13 owned shares of Stock B and Stock C, and 7 owned shares of all three. How many investors did not have shares in any of the three? How many owned shares of either Stock A or Stock C but not Stock B?
A. 26; 30 B. 19; 37 C. 19; 32 D. 19; 30
Solve the right triangle.
A = 36°, b = 43.7
A. B = 54°, a = 31.7, c = 54 B. B = 36°, a = 35.4, c = 31.7 C. B = 36°, a = 60.1, c = 35.4 D. B = 54°, a = 60.1, c = 74.3