A parabolic listening device is shaped such that the depth of the bowl depends on its radius and can be represented by the curve D(r) = 0.145r2.
What is the radius when the depth is 8 inches? Round to the nearest thousandth of an inch.
4.417 inches
5.252 inches
7.428 inches
20.505 inches

Respuesta :

Answer:

Option (C)

The radius to the nearest thousandth of an inch is 7.428 inches

Explanation:

Given the equation is D(r) = [tex]0.145r^2[/tex]

Where D is the depth and r is the radius

Putting D = 8 inches in the equation

8 = [tex]0.145r^2[/tex]

[tex]r^2[/tex] = [tex]\frac{8}{0.145}[/tex]

[tex]r^2[/tex] = 55.2

r = 7.428 inches

The radius of depth is 7.428 inches

Answer:

c) 7.428 inches

Step-by-step explanation:

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