3 years ago

Factor completely 625x4 − 81.

Mathematics

1 answer:

Marina CMI [18]3 years ago

6 0

The correct answer is D

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$\large\boxed{60\pi\ sq.in.}$

Step-by-step explanation:

The formula of a lateral area of a cone:

$L.A.=\pi rl$

r - radius

l - lateral height

We have the radius r = 6in and the height H = 8in.

Use the Pythagorean theorem to calculate the lateral height:

$l^2=6^2+8^2\\\\l^2=36+64\\\\l^2=100\to l=\sqrt{100}\\\\l=10\ in$

Substitute:

$L.A.=\pi(6)(10)=80\pi\ in^2$

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