Mathematics, 28.08.2020 06:01, jmitial

How do I solve this?

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answered: rodriguezzamyy

Hi there! Hopefully this helps!

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$\boxed{\frac{6\sqrt{5} }{29} = 0.462634754 }$ ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

$\frac{175-172}{\frac{29}{\sqrt{20} } }$

Subtract 172 from 175 to get 3.

$\frac{3}{\frac{29}{\sqrt{20} } }$ ≈ 0.462634754

Factor $20=2^{2} \times 5$ . Rewrite the square root of the product $\sqrt{2^{2} \times 5 }$ ≈ as the product of square roots $\sqrt{2^{2} } \sqrt{5}$ ≈ 4.472135955. Take the square root of $2^{2}$ ≈

$\frac{3}{\frac{29}{2\sqrt{5} } }$

Rationalize the denominator of $\frac{29}{2\sqrt{5} }$ ≈ 6.484597135 by multiplying numerator and denominator by $\sqrt{5}$ ≈ 2.236067977.

$\frac{3}{\frac{29\sqrt{5} }{2(\sqrt{5} )^{2} } }$

The square of $\sqrt{5}$ ≈ 2.236067977 is 5.

$\frac{3}{\frac{29\sqrt{5} }{2 \times 5 } }$ ≈ 0.462634754

Multiply 2 and 5 to get 10.

$\frac{3}{\frac{29\sqrt{5} }{10 } }$ ≈ 0.462634754

Divide 3 by $\frac{29\sqrt{5} }{10}$ ≈ 6.484597135 by multiplying 3 by the reciprocal of $\frac{29\sqrt{5} }{10}$ ≈ 6.484597135.

$\frac{3\times 10}{29\sqrt{5} }$ ≈ 0.462634754

Rationalize the denominator of $\frac{3\times 10}{29\sqrt{5} }$ ≈ 0.462634754 by multiplying numerator and denominator by $\sqrt{5}$ ≈ 2.236067977.

$\frac{3\times 10\sqrt{5} }{29(\sqrt{5})^{2} }$ ≈ 0.462634754

The square of $\sqrt{5}$ ≈ 2.236067977 is 5.

$\frac{3\times 10\sqrt{5} }{29 \times {5} }$ ≈ 0.462634754

Multiply 3 and 10 to get 30.

$\frac{30\sqrt{5} }{29 \times {5} }$ ≈ 0.462634754

Multiply 29 and 5 to get 145.

$\frac{30\sqrt{5} }{145 }$ ≈ 0.462634754

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~Divide $30\sqrt{5}$ ≈ 67.082039325

by 145 to get, you guessed it, $\frac{6}{29}\sqrt{5}$ ≈ 0.462634754.

answered: Guest

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .

answered: Guest

After the experience with great britain having a monarchy, the united states realized that everyone needed to have a voice in the government. the fact that americans had no voice was the main reason for the war. thus, they created a democracy, where the people voted for their representatives and the government ruled with the consent of the people.

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