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3 years ago

How to find the are of each regular polygon

Mathematics

1 answer:

Ghella [55]3 years ago

7 0

Answer:

Hi there!

To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem.

Apothem: a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

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wolverine [178]

Answer:

Ivy is 6 years old and Rose is 12 years old.

Step-by-step explanation:

To solve this problem, two variables are necessary since we have two unknown variables: Ivy's age and Rose's age.

Ivy's age will be $x$

and Rose's age will be $y$

"Ivy is half as old as her sister":

$x=\frac{y}{2}$

this will be our <u>fist equation.</u>

"In six years, Ivy will be two-thirds as old as Rose"

in six years Ivy will have $x+6$ years, and Rose will have $y +6$ years, so for this sentence we have the equation:

$x+6=\frac{2}{3}(y+6)$

this will be our <u>second equation.</u>

Substituting the value of x from the first equation into the second, and solving for y(Rose):

$\frac{y}{2}+6=\frac{2}{3} (y+6)\\\frac{y+12}{2} =\frac{2}{3} (y+6)\\y+12=\frac{4}{3} (y+6)\\3(y+12)=4(y+6)\\3y+36=4y+24\\36-24=4y-3y\\12=y$

Rose is 12 years old.

and Ivy (using the fist equation):

$x=\frac{12}{2}=6$

Ivy is 6 years old.

6 0

3 years ago

HELP PLEASE. A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be rep

san4es73 [151]

For this case we have that the cost of each pizza is given by the following function:

$S (r) = 0.1 \pi * r ^ 2$

Where:

r: It's the radius of the pizza

IF a pizza cost $26.32 we have:

$26.32 = 0.1 \pi * r ^ 2$

We cleared the radius, using $\pi = 3.14$ :

$\frac {26.32} {0.1} = \pi * r ^ 2\\263.2 = 3.14r ^ 2\\\frac {263.2} {3.14} = r ^ 2\\83.82 = r ^ 2\\r = \pm \sqrt {83.82}$

We choose the positive value:

$r = 9.15$

So, the radius of the pizza is $9.16 \ in$

Then, the diameter is: $2r = 2 * 9.15 = 18.30 \ in$

Finally, the diameter of the pizza is: $18.30 \ in$

Answer:

Option B

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3 years ago

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Elis [28]

The answer is B because first u subtract 3y from both sides and then subtract 15 from both and then divide both sides by -5 and u’ll have y=-5/3x+5 so -5/3 is the slope

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Suppose that it snows in Greenland an average of once every 20 days, and when it does, glaciers have a 28% chance of growing. Wh

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Lenny bought a motorcycle. He paid 12.5% in tax. The tax added $1437.50 to the price of the

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