What is the length of the hypotenuse of a right triangle if each of the two legs is 4 units?

Mathematics

1 answer:

lesantik [10]2 years ago

8 0

Use the pythagorean theorem (a^2 + b^2 = c^2)

4^2 + 4^2 = c^2

16+ 16 = c^2

32 = c^2

sqrt(32) = c

The third option you have listed is the right answer (its 4sqrt(2) simplified)

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Find the radius of a sphere with a surface area of 1024π square inches

agasfer [191]

Answer:

Step-by-step explanation:

The formula of a Surface Area of a sphere:

$S.A.=4\pi R^2$

R - radius

We have

$S.A.=1024\pi\ in^2$

Substitute:

$4\pi R^2=1024\pi$ <em>divide both sides by π</em>

$4R^2=1024$ <em>divide both sides by 4</em>

$R^2=256\to R=\sqrt{256}\\\\R=16\ in$

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Answer:

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