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 = 0.6 kilogram and ? = 60°? If necessary, round the answer to the nearest tenth of a Newton.

A. 5.1 N
B. 1.8 N
C. 5.2 N
D. 2.9 N


Answer: A

Mathematics

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Round to two significant digits: 75.87

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Solve the problem.An amusement park has a Ferris wheel with a height of 94 meters and a diameter of 88 meters. Using the drawing, write the equation of the wheel.

A. x2 + y2 = 442 B. x2 + (y - 50)2 = 882 C. x2 + (y + 50)2 = 442 D. x2 + (y - 50)2 = 442

Mathematics

Find the vertical asymptote(s) of the graph of the given function. g(x) =  

A. x = -8, x = 4 B. x = -8, x = 1 C. x = -8, x = 0 D. y = -8, x = 0

Mathematics

Write the equation of the line using the information given about its graph.Slope - , y-intercept 

A. y = x - 
B. y = - x + 
C. y = - x - 
D. y = x + 

Mathematics