A boat is being pulled toward a dock as shown in the figure. If the rope is being pulled in at 9 feet per second, how fast is the distance between the dock and the boat decreasing when it is 20 feet from the dock? Round your answer to the nearest hundredth and input it into the following box. The distance, between the dock and the boat, is Ifeet per second when it is 20 feet from the dock. Study Check Answer Try a New Version A boat is being pulled toward a dock as shown in the figure. Suppose that the distance between the boat and the dock is decreasing by 3.07 feet per second. How fast is the rope being pulled in when the boat is 5 feet from the dock? Round your answer to the nearest hundredth and input it into the following box. The rope is being pulled in feet per second when the boat is 5 feet from the dock. Study Check Answer Try a New Version The radius of a spherical balloon is increasing at the rate of 4 centimeters per minute. How fast is the volume changing when the radius is 10 centimeters? Round your answer to the nearest hundredth and input it into the following box. The volume is changing cubic centimeters per minute when the radius is 10 centimeters Study Check Answer Try a New Version The radius of a spherical balloon is increasing at the rate of 5 centimeters per minute. How fast is the surface area of the sphere increasing when the radius is 11 centimeters? Round your answer to the nearest hundredth and input it into the following box. The surface area is changing square centimeters per minute when the radius is 11 centimeters Study Check Answer Try a New Version A 25-foot ladder is placed against a vertical wall. Suppose that the bottom of the ladder slides away from the wall at a constant rate of 3 feet per second. How fast is the top of the ladder sliding down the wall when the bottom is 24 feet from the wall? Input the exact answer into the following box. You can enter a fraction as: 3/5. The top of the ladder sliding down the wall is feet per second when the bottom is 24 feet from the wall. Study Check Answer Try a New Version A weather balloon is rising vertically at the rate of 3 meters per second. An observer is standing on the ground 500 meters from where the balloon was released. At what rate is the distance between the observer and the balloon changing when the balloon is 1200 meters high? (You can enter a fraction as: a/b.) The distance between the observer and the balloon is changing meters per second when the balloon is 1200 meters high. Study Check Answer Try a New Version A streetlight is on top of a 35-foot pole. A person who is 7 feet tall walks away from the pole at the rate of 7 feet per second. At what rate is the top of the person's shadow moving away from the pole when he is 35 feet from the pole? (Enter a fraction " as: a/b. The distance between the top of the person's shadow and the pole is changing feet per second when he is 35 feet from the pole. Study Check Answer Try a New Version