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2 years ago

I will give brainly

Mathematics

1 answer:

Akimi4 [234]2 years ago

7 0

Answer:

Step-by-step explanation:

This probability will be the area of the square divided by the area of the circle.

$P=\frac{(4\sqrt{2})^2}{\pi 4^2}\\ \\ P=\frac{32}{16\pi}\\ \\ P=\frac{2}{\pi }\\ \\ \text{As a percentage}\\ \\ P=\frac{200}{\pi}\\ \\ P\approx 63.7\%$

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15 - 5 x = 10 x + 45

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Answer:

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Step-by-step explanation:

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3 years ago

a square garden has a diagonal of 12 m. What is the perimeter of the garden? Express in simplest radical form

lianna [129]

Answer:

The perimeter of the garden, in meters, is $24\sqrt{2}$

Step-by-step explanation:

Diagonal of a square:

The diagonal of a square is found applying the Pythagorean Theorem.

The diagonal of the square is the hypothenuse, while we have two sides.

Diagonal of 12m:

This means that $d = 12$ , side s. So

$s^2 + s^2 = 12^2$

$2s^2 = 144$

$s^2 = \frac{144}{2}$

$s^2 = 72$

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Factoring 72:

Factoring 72 into prime factors, we have that:

72|2

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18|2

9|3

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$72 = 2^{3}*3^{2}$

So, in simplest radical form:

$s = \sqrt{72} = \sqrt{2^{3}*3^{2}} = \sqrt{2^3}*\sqrt{3^2} = 2\sqrt{2}*3 = 6\sqrt{2}$

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The perimeter of a square with side of s units is given by:

$P = 4s$

In this question, since $s = 6\sqrt{2}$

$P = 4s = 4*6\sqrt{2} = 24\sqrt{2}$

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Step-by-step explanation:

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2 years ago

What value correctly fills in the blank so that the expressions are equivalent?

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Answer:

Step-by-step explanation:

32 + 72 = 13x

104 = 13x

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