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4 years ago

10

A rectangle is inscribed in a circle of radius 4 inches. if the length of the rectangle is decreasing at the rate of 2 inches pe

r second, how fast is the area changing at the instant when the length is 5 inches?

1 answer:

evablogger [386]4 years ago

8 0

Awnser is on mathaway.com :)

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Step-by-step explanation:

Go over to the left on the -4 and up 5 times and mark a dot on it.

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Answer:

$x=8$

Step-by-step explanation:

Given

$AB||CD$

$\angle ABC = 5x + 50$

$\angle BCD = 7x + 34$

Required

Find x

If $AB||CD$ i.e. If AB is parallel to CD, then

$\angle ABC = \angle BCD$

Substitute values for ABC and BCD

$5x + 50 = 7x + 34$

Collect Like Terms

$5x - 7x = -50 + 34$

$-2x = -16$

Multiply through by $-\frac{1}{2}$

$-\frac{1}{2} * -2x = -16 * -\frac{1}{2}$

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$x = \frac{16}{2}$

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