4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway fromhome to first base, he is going toward first base at 30 ft/sec. How is his distance from thesecond base changing?5. Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conicalpile on the ground. If the conical formation has an altitude always 1/4 the diameter of thebase, how fast is the altitude increasing when the conical pile is 5 feet high.6. What is the rate at which the two hands of the clock are separating when the time is twoo'clock if the length of the hour hand is 1 inch and that of the minute hand is 1.6 inches?

Note: According to our expert guidelines only first individual question is to be answered kindly…

4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home to first base, he is going toward first base at 30 ft/sec. How is his distance from the second base changing?

4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from home to first base, he is going toward first base at 30 ft/sec. How is his distance from the second base changing?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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Question

4. A baseball diamond is a square, 90 feet on each side. The instant a runner is halfway from
home to first base, he is going toward first base at 30 ft/sec. How is his distance from the
second base changing?
5. Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical
pile on the ground. If the conical formation has an altitude always 1/4 the diameter of the
base, how fast is the altitude increasing when the conical pile is 5 feet high.
6. What is the rate at which the two hands of the clock are separating when the time is two
o'clock if the length of the hour hand is 1 inch and that of the minute hand is 1.6 inches?

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