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Mathematics, 26.05.2021 21:30 myelee123

Winnie collects data from a random sample of seventh graders out of 60 responders 18 attended after school programs of the 220 graders attending winnies school how many would be expected to attend after school programs

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Answer from: Quest

x=2\sqrt{10}

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

6^2+2^2=x^2

simplifying:

6^2+2^2=x^2\\36+4=x^2\\40=x^2\\x=\sqrt{40}

to further simplify this radical, we need to use the property   \sqrt{x*y}=\sqrt{x} \sqrt{y}

thus

x=\sqrt{40}\\ x=\sqrt{4}\sqrt{10} \\ x=2\sqrt{10}

What is the value of x? leave your answer in simplest radical form.

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