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Nata [24]
3 years ago
7

If the lengths of the legs of a right triangle are 5 and 12, what is the length of the hypotenuse?

Mathematics
1 answer:
sasho [114]3 years ago
6 0

h - length of the hypotenuse

Use the Pyhagorean theorem:

h^2=5^2+12^2\\\\h^2=25+144\\\\h^2=169\to h=\sqrt{169}\\\\\boxed{h=13}

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Step-by-step explanation:

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Calculate 4 raise to power 2 multiply by 5 raise to poer 2 minus 18 raise to power 2​
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Answer:

76

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

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3 0
3 years ago
Read 2 more answers
Solve:
Advocard [28]
First we look at the equation an determine our common denominator.

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multiply the first fraction by 2, the second by X, and the third by 2x

(2x²-2x-12) / 2x² = (x²-6x) / 2x² + (4x²+24x) / 2x²  (dropping the denominator)

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-3x² - 20x - 12  (multiply by -1)
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3 0
3 years ago
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Andrew deposited $500 in a savings account that offers an interest rate of 6.5%, compounded continuously. Andrew's initial depos
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Answer:

The answer is 15 months.

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t = ?

The formula to be used here is :

A=pe^rt

t=(log(A/p)/log(e))/r

Putting the values in formula we get:

t=(log(543/500)/log(e))/0.065

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This gives t = 1.3 years

In months it will be 1 year(12 months) + 3 months = 15 months.

Hence, the answer is 15 months.

7 0
4 years ago
Russia's currency is called the ruble, and is denoted with this symbol: Rub. An electrical contractor has Rub850,360 in his busi
ivann1987 [24]

Answer:

He will

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Here, we want to calculate the amount of money that will be left in the account

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5 0
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