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3 years ago

7

a large community theater performing musical the theater was filled all four knights if 2500 people attended and then how many p

eople attended each night

1 answer:

Molodets [167]3 years ago

7 0

well assuming that it is evenly distributed throughout the nights it would be 625 people per night

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bearhunter [10]

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Step-by-step explanation:

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KonstantinChe [14]

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3 years ago

Prove that when x is greater than one a triangle with side lengths a equals x squared minus one and c equals x squared plus one

gulaghasi [49]

Using the Pythagorean Theorem,

$a^2+b^2=c^2$

(See attachment)

Let us substitute the values and solve for b in terms of $x$ .

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Grouping the $x$ terms on one side gives,

$b^2=(x^2+1)^2-(x^2-1)^2$

We now apply difference of two squares to obtain,

$b^2=((x^2+1-(x^2-1))(x^2+1+(x^2-1))$

$b^2=((x^2+1-x^2+1))(x^2+1+x^2-1))$

$b^2=(2)(2x^2)$

$b^2=4x^2$

$b=\sqrt{4x^2}$

$b=2x$ ,

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$a=2^2-1=3$

$b=2(1)=2$

$c=2^2 +1=5$

When $x=3$

$a=3^2 -1=8$

$b=2(3)=6$

$c=3^2 +1=10$

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3 years ago