91Ó°ÊÓ

A water wheel has a radius of 12 feet. The wheel is rotating at 20 revolutions per minute. Find the linear speed, in feet per minute, of the water.

From the top of a 250 -foot lighthouse, a plane is sighted overhead and a ship is observed directly below the plane. The angle of elevation of the plane is \(22^{\circ}\) and the angle of depression of the ship is \(35^{\circ} .\) Find a. the distance of the ship from the lighthouse; \(\mathbf{b}\). the plane's height above the water. Round to the nearest foot.

Solve: $$|2 x-3|=7$$

Describe the restriction on the tangent function so that it has an inverse function.

The data show the average monthly temperatures for Washington, D.C. TABLE CANNOT COPY! a. Use your graphing utility to draw a scatter plot of the data from \(x=1\) through \(x=12\) b. Use the SINe REGression feature to find the sinusoidal function of the form \(y=A \sin (B x+C)+D\) that best fits the data. c. Use your graphing utility to draw the sinusoidal function of best fit on the scatter plot.

In Exercises \(113-116\), use the keys on your calculator or graphing utility for converting an angle in degrees, minutes, and seconds \(\left(D^{\circ} M^{\prime} S^{\prime \prime}\right)\) into decimal form, and vice versa. In Exercises \(113-114\), convert each angle to a decimal in degrees. Round your answer to two decimal places. $$ 65^{\circ} 45^{\prime} 20^{\prime \prime} $$