Write the following in terms of sin ? and cos ? and then simplify if possible.
?

What will be an ideal response?



Mathematics

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Solve the problem.The length of a rectangular frame is 5 cm more than the width. The area inside the frame is 50 square cm. Find the width of the frame.

A. 10 cm B. 5 cm C. 15 cm D. 7 cm

Mathematics

Calculate the perimeter for the given figure. Use 3.14 for ?. Round to hundredths if necessary.Rectangle topped by a semicircle

A. 52.57 ft B. 89.55 ft C. 98.10 ft D. 74.55 ft

Mathematics

Solve the problem.The population of a city increased from 1,003,682 in 1995 to 1,356,831 in 2005. To the nearest tenth, what was the percent increase?

A. 2.6% B. 35.2% C. 26.0% D. 3.5%

Mathematics

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 = 0.8 kilogram and ? = 30°? If necessary, round the answer to the nearest tenth of a Newton.

A. 3.8 N B. 3.9 N C. 6.8 N D. 7.7 N

Mathematics