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2 years ago

Find the length of each leg. Leave answer in simplest radical form.

Mathematics

1 answer:

arlik [135]2 years ago

5 0

Answer:

8√2

Step-by-step explanation:

The hypotenuse of a right triangle is √2 times the leg length, so you have ...

$x\sqrt{2}=16$

Dividing by the coefficient of x gives ...

$x=\dfrac{16}{\sqrt{2}}=\dfrac{16\sqrt{2}}{\sqrt{2}\cdot\sqrt{2}}=8\sqrt{2}$

Each leg has length 8√2.

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What is 3/4 as a percentage

luda_lava [24]

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction $\frac{3}{4}$ to an equivalent fraction with the denominator equal to 100.

$\frac{3}{4}$ × $\frac{25}{25}$ = $\frac{75}{100}$

This fraction represents a percent.

$\frac{75}{100}$ = 75%

5 0

2 years ago

Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma

Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with $\mu = 112$ inches and $\sigma = 14$ inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - $\mu = 112$ inches

Standard deviation - $\sigma = 14$ inches

The z-score formula is given by, $Z=\frac{x-\mu}{\sigma}$

Now,

$P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})$

$P(X>140)=P(Z>\frac{140-112}{14})$

$P(X>140)=P(Z>\frac{28}{14})$

$P(X>140)=P(Z>2)$

$P(X>140)=1-P(Z$

The Z-score value we get is from the Z-table,

$P(X>140)=1-0.9772$

$P(X>140)=0.0228$

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

5 0

3 years ago

Write the expression that represents the area of the rectangle shown.

slamgirl [31]

Answer:

A = Length × breath

A = 3 × 7

A = a × 4

A = m × m

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1 year ago

One highlighter has a mass of 11 grams. Another highlighter

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3 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

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2 years ago