The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 11 centimeters and the area is 86 square centimeters? cm/min

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 45E: The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in...
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The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is
increasing at a rate of 3 square centimeters/minute. At what rate is the base of the triangle changing when
the altitude is 11 centimeters and the area is 86 square centimeters?
cm/min
Transcribed Image Text:The altitude of a triangle is increasing at a rate of 1 centimeters/minute while the area of the triangle is increasing at a rate of 3 square centimeters/minute. At what rate is the base of the triangle changing when the altitude is 11 centimeters and the area is 86 square centimeters? cm/min
An inverted pyramid is being filled with water at a constant rate of 50 cubic
centimeters per second. The pyramid, at the top, has the shape of a square with
sides of length 4 cm, and the height is 9 cm.
Find the rate at which the water level is rising when the water level is 4 cm.
cm/sec
h
b₁
b₂
Transcribed Image Text:An inverted pyramid is being filled with water at a constant rate of 50 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 4 cm, and the height is 9 cm. Find the rate at which the water level is rising when the water level is 4 cm. cm/sec h b₁ b₂
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