Solve the problem. Round your answer, if appropriate.A man 6 ft tall walks at a rate of 5 ft/sec away from a lamppost that is 14 ft high. At what rate is the length of his shadow changing when he is 65 ft away from the lamppost? (Do not round your answer)
A. ft/sec
B. ft/sec
C. ft/sec
D. ft/sec
Answer: D
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Provide the appropriate response.List all primes between 100 and 200.
A. 101, 107, 109, 127, 131, 137, 139, 149, 151, 157, 167, 179, 181, 191, 193, 197, 199 B. 101, 103, 107, 113, 127, 131, 137, 151, 157, 163, 167, 173, 179, 181, 191, 197 C. 101, 103, 105, 107, 109, 113, 115, 125, 127, 131, 135, 137, 139, 145, 149, 151, 155, 157, 163, 165, 167, 173, 175, 179, 181, 185 191, 195 197, 199 D. 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199
Solve the problem.Two boats are pulling a disabled vessel toward the landing dock with forces of 840 lb and 820 lb. The angle between the forces is 29.6°. Find the direction and magnitude of the equilibrant.
A. 1605 lb at an angle of W 75.4° Nwith the 820-lb force B. 1605 lb at an angle of W 14.6° N with the 840-lb force C. 1605 lb at an angle of N 14.6° W with the 840-lb force D. 160 lb at an angle of N 75.4° W with the 840-lb force
Use set notation to identify the shaded region.
A. ? A ? C
B. A ? C - B
C. A ? C
D. C ? ? A
Solve the system graphically. Give x- and y-coordinates correct to the nearest hundredth.x2 + y2 = 7y =
A. {(-2.29, -1.32), (2.29, 1.32)} B. {(-2.13, -1.57), (1.76, -1.98)} C. {(-2.13, 1.57), (1.76, 1.98)} D. {(-1.76, -1.98), (2.13, -1.57)}