help help help Solve the following time rates problems.1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At what rate is the areachanging when the first leg is 8 inches and the second leg is 6 inches?2. A light shines on top of a lamppost 30 feet above the ground. A woman 5 feet tall walksaway from the light. Find the rate at which her shadow is increasing if she is walking at 3 ft/s.3. A (right circular) cylinder is expanding in such a way that its height is increasing threetimes as rapidly as the radius of its base. At the moment when its height is 5 inches and the radius of its base is 3 inches itsheight is increasing at a rate of 12 inches per minute. At that moment its volume is increasing at a rate of cubic inches perminute.4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm wide of 50 cm. If thethrough leaks water at the rate of 2000 cm3/min, how fast is the water level decreasing when the water is 20 cm deep.5. A kite 100 feet above the ground is being blown away from the person holding its string in a direction parallel to theground and at a rate of 10 feet per second. At what rate must the string be let out when the length of string already let out is200 feet?

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Answered: 1. One leg of a right triangle…

1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At what rate is the area changing when the first leg is 8 inches and the second leg is 6 inches?

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter9: Functions

Section9.6: Direct And Inverse Variations

Problem 39PS

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

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help help help

Solve the following time rates problems.
1. One leg of a right triangle decreases at 1 in./min. and the other leg increases at 2 in./min. At what rate is the area
changing when the first leg is 8 inches and the second leg is 6 inches?
2. A light shines on top of a lamppost 30 feet above the ground. A woman 5 feet tall walks
away from the light. Find the rate at which her shadow is increasing if she is walking at 3 ft/s.
3. A (right circular) cylinder is expanding in such a way that its height is increasing three
times as rapidly as the radius of its base. At the moment when its height is 5 inches and the radius of its base is 3 inches its
height is increasing at a rate of 12 inches per minute. At that moment its volume is increasing at a rate of cubic inches per
minute.
4. A trough filled with liquid is 2 m long and has a cross section of an isosceles trapezoid 30 cm wide of 50 cm. If the
through leaks water at the rate of 2000 cm3/min, how fast is the water level decreasing when the water is 20 cm deep.
5. A kite 100 feet above the ground is being blown away from the person holding its string in a direction parallel to the
ground and at a rate of 10 feet per second. At what rate must the string be let out when the length of string already let out is
200 feet?

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