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2 years ago

Find the number that makes the ratio equivalent to 2:7

Mathematics

1 answer:

Katena32 [7]2 years ago

4 0

Answer:

Hi, There! my name is Jay and I'm here to help!

<h2>Question</h2>

Find the number that makes the ratio equivalent to 2:7

<h2>Answer</h2>

4:14, 6:21, 8:28

Step-by-step explanation:

Ratios that are equal to each other are called equivalent ratios. You can find an equivalent ratio by multiplying or dividing each term of a ratio by the same number.

Therefore, I Hope this helps!

Take Care!

Happy Veterans day!

$-Jay-$

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3 years ago

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

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$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

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Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

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Turning into a decimal:

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2 years ago

What is the simplified form of the quantity of x plus 8, all over the quantity of 3x plus 7 + the quantity of x plus 7, all over

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$\frac{x+8}{3x+7} + \frac{x+7}{x+4} \\ = \frac{(x+8)(x+4)+(x+7)(3x+7)}{(3x+7)(x+4)} \\ = \frac{ x^{2} +12x+32+3 x^{2} +28x+49}{3 x^{2} +19x+28} \\ = \frac{4 x^{2} +40x+81}{3 x^{2} +19x+28}$

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3 years ago

Read 2 more answers