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Anna007 [38]
3 years ago
5

Find the area of a regular nonagon with a side length of 7 and an apothem of 5

Mathematics
1 answer:
Bezzdna [24]3 years ago
6 0
The formula for finding the area of a regular polygon is 1/2(apothem)(perimeter).

Well, since this is a nonagon (9 sides) and each side has a length of 7, so 7 times 9 equals 63 (perimeter of the shape).

Now, we have all the information we need to plug into our formula: 
1/2(5)(63). I already set up the equation for you, so you just need to evaluate it. 
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s344n2d4d5 [400]

Answer:

900 large boxes were sold, and 750 small boxes.

Step-by-step explanation:

This question can be solved by a system of equations.

I am going to say that:

x is the number of large boxes of cookies sold.

y is the number of small boxes of cookies sold.

A total of 1,650 boxes of Girl Scout cookies were sold last week.

This means that

x + y = 1650

So

x = 1650 - y

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This means that

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Since x = 1650 - y

3.5(1650 - y) + 2y = 4650

5775 - 3.5y + 2y = 4650

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y = \frac{1125}{1.5}

y = 750

x = 1650 - y = 1650 - 750 = 900

900 large boxes were sold, and 750 small boxes.

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