Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.7 kilogram and ? = 28°? If necessary, round the answer to the nearest tenth of a Newton.
A. 3.4 N
B. 1.9 N
C. 3.2 N
D. 6.1 N
Answer: C
Mathematics
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Provide an appropriate response.Find the work done by F = (x2 + y2)i - 4xyj in moving a body counterclockwise around the square with vertices (0, 0), (1, 0), (1, 1), (0, 1).
A. 
B. -5
C. -3
D. - 
Mathematics
Solve the given equation without using a graphing calculator.-3x4 + 15x3 - 15x2 - 15x + 18 = 0
A. 1, 3, -3, 2 B. 1, 3, 2, -1 C. -1, -3, -2 D. 1, -1, 3, -3
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Solve the equation.4x = 256
A. 
B. 
C. 
D. 
Mathematics
True or false?In Lobachevskian geometry, the sum of the measures of the angles of a triangle is greater than 180
.
A. False B. True
Mathematics