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3 years ago

The shorter leg of a 30°-60°-90° triangle is 4. How long is the hypotenuse?

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

8 0

For a triangle 30-60-90,

If shorter leg is x, then hypotenuse is 2x.

So, if shorter leg is 4,

then hypotenuse is 2*4 = 8.

Answer is 8.

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Answer:

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Step-by-step explanation:

Given

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$n = 781$ --- selected sample

Required

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First, calculate the z score using:

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This gives:

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Convert % to decimal

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}$

$Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}$

$Z = \frac{0.03}{\sqrt{0.00030729833}}$

$Z = \frac{0.03}{0.01752992669}$

$Z = 1.71$

So:

$P(p>0.43) = P(Z>1.71)$

$P(p>0.43) = 1 - P(Z$

$P(p>0.43) = 1 - 0.9564$

$P(p>0.43) = 0.0436$

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