Answered: A mouse wheel is 16 cm im diameter and… | bartleby

Elementary Geometry For College Students, 7e

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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A mouse wheel is 16 cm im diameter and the base of the wheel is 2 cm off the
ground. If the hamster can spin the wheel 4 times each second, what is the sine
function that describes the movement of the wheel if it starts at its lowest point?

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During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)
A rectangular photograph measuring 77 cm by 66 cm is to be displayed in a card mount in a rectangular frame as shown below, with a border of constant width x cm. The owner wants the area of the mount (including the photo) to be 73cm^2. Find the width x of the border.The border should be ... cm wide (round your answer to three decimal places).

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