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earnstyle [38]
3 years ago
8

For each problem, find the missing value using the Pythagorean Theorem

Mathematics
1 answer:
sladkih [1.3K]3 years ago
8 0

Answer:

b = √2

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

<em>a</em> = Leg₁

<em>b</em> = Leg₂

<em>c</em> = Hypotenuse

Step 1: Plug in variables

3² + b² = (√11)²

Step 2: Solve

9 + b² = 11

b² = 2

b = √2

And we have our answer!

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( 2 x 4 ) x 7 = 2 x (7 x 4 ) What Property does this demonstrate?
Lana71 [14]
Hi There!

<span>( 2 x 4 ) x 7 = 2 x (7 x 4 ) represents the associative property of multiplication. The associative property states of multiplication states, that you can multiply  even  how the numbers are grouped.

You can test this you're self.

1. Multiply 2*4=8    8 *7=56

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In conclusion, </span><span>( 2 x 4 ) x 7 = 2 x (7 x 4 ), uses the associative property of multiplication.

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9. A company’s marginal cost function is where x is the number of units. Find the total cost of producing units 144 to 625.
Anettt [7]

Answer:

total cost is $2444

Step-by-step explanation:

A company’s marginal cost function MC= \frac{94}{\sqrt{x} } is where x is the number of units

Marginal cost function is the derivative of cost function

to find the total cost of producing units , take integral of marginal cost function

\int\limits ^{625}_{144}{\frac{94}{\sqrt{x} } } \, dx

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now plug in the values

94(2\sqrt{625})-94(2\sqrt{144})=2444

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3 years ago
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