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4 years ago

A bicycle wheel travels about 82 inches in 1 full rotation. What is the diameter of the wheel, to the nearest inch?

1 answer:

7 0

$d-diameter\ of\ the\ wheel\\\\d\pi=82\ in\\\\\pi\approx3.14\ then:\\\\3.14d\approx82\ in\ \ \ /:3.14\\\\d\approx\frac{82}{3.14}\ in\\\\d\approx26.11\ in\\\\d\approx26\ in\leftarrow answer$

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3 years ago

Given: y varies directly as x squared and inversely as z cubed. If y = 12 when x = 4 and z = 2, find x when y = 1.728 and z = 5.

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Step-by-step explanation:

given y varies directly as x² and inversely as z³ then the equation relating them is

y = $\frac{kx^2}{z^3}$ ← k is the constant of variation

to find k use the condition y = 12 when x = 4 and z = 2 , then

12 = $\frac{k(4)^2}{2^3}$ = $\frac{16k}{8}$ ( multiply both sides by 8 )

96 = 16k ( divide both sides by 16 )

6 = k

y = $\frac{6x^2}{z^3}$ ← equation of variation

when y = 1.728 and z = 5 , then

1.728 = $\frac{6x^2}{5^3}$ = $\frac{6x^2}{125}$ ( multiply both sides by 125 )

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36 = x² ( take square root of both sides )

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x = 6

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