91Ó°ÊÓ

Approximate the angular speed of the second hand on a clock in rad/sec. (Round to three decimal places.)

Write an equation for a sine function with period 12 and amplitude 7.

Multiple Choice If two sides and the included angle of a triangle are known, which law can be used to solve the triangle? (a) Law of Sines (b) Law of Cosines (c) Either a or b (d) The triangle cannot be solved.

True or False If the distance \(d\) of an object from its rest position at time \(t\) is given by a sinusoidal graph, the motion of the object is simple harmonic motion.

In Problems 7-10, an object attached to a coiled spring is pulled down a distance a from its rest position and then released. Assuming that the motion is simple harmonic with period T, find a function that relates the displacement d of the object from its rest position after t seconds. Assume that the positive direction of the motion is up. $$ a=5 ; \quad T=2 \text { seconds } $$

The sum of the measures of the two acute angles in a right triangle is _____. (a) \(45^{\circ}\) (b) \(90^{\circ}\) (c) \(180^{\circ}\) (d) \(360^{\circ}\)

Heron's Formula is used to find the area of (a) ASA (b) SAS (c) SSS (d) AAS

True or False A special case of the Law of Cosines is the Pythagorean Theorem.

The displacement \(d\) (in meters) of an object at time \(t\) (in seconds) is given. (a) Describe the motion of the object. (b) What is the maximum displacement from its rest position? (c) What is the time required for one oscillation? (d) What is the frequency? $$ d(t)=4+3 \sin (\pi t) $$

A ship leaves the port of Miami with a bearing of \(\mathrm{S} 80^{\circ} \mathrm{E}\) and a speed of \(15 \mathrm{knots}\). After 1 hour, the ship turns \(90^{\circ}\) toward the south. After 2 hours, maintaining the same speed, what is the bearing to the ship from the port?