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kirza4 [7]
3 years ago
15

A camp athletic director wants to arrange kickball games for highschool and middle school students. Because of the age of the ca

mpers, the highschool kickball field is larger than the middle school field. The dimensions of the square base paths are
Highschool= 2x-3 ft
Middle school= x-8 ft

What is the area of the high school field's base path?
What is the area of the middle school field's base path?
What is the difference in size of the two field's base path?
Mathematics
1 answer:
saveliy_v [14]3 years ago
3 0

Answer:

The area of the high school field’s base path is (4x^2 -12x + 9) ft^2

The area of the middle school field’s base path is ( x^2 -16x + 64) ft^2

The difference in size between the two is

(3x^2 +4x - 55) ft^2

Step-by-step explanation:

Firstly, we are to calculate the area of the high school field’s base path

Mathematically, the area of a square is L^2

where L is the length of the side of the square. The area of the high school field base path is thus;

(2x-3) * (2x-3) = 2x(2x-3) -3(2x-3) = 4x^2 -6x -6x + 9 = (4x^2 -12x + 9) ft^2

The area of the middle school field’s base path can be calculated in a similar fashion

That would be (x-8) * (x-8) = x(x-8)-8(x-8) = x^2 -8x -8x + 64 =( x^2 -16x + 64) ft^2

The difference in size between this two will be;

(4x^2 -12x + 9) - ( x^2 -16x + 64) = 4x^2-x^2-12x+16x+9-64 = (3x^2 +4x - 55) ft^2

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5 0
3 years ago
Polygon D is a scaled copy of polygon C using a scale factors of 6
Vladimir79 [104]

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Step-by-step explanation:

<h3> The complete exercise is: "Polygon D is a scaled copy of Polygon C using a scale factor of 6. How many times larger is the area of Polygon D than the area Polygon C"?</h3>

 In order to solve this problem it is important to analize the information provided in the exercise.

You know that the Polygon D was obtained by multiplying the lengths of the Polygon C by the scale factor of 6.

Then, you can identify that the Length scale factor used is:

Length\ scale\ factor=k=6

Now you have to find the Area scale factor.

Knowing that the Length scale factos is 6, you can say that the Area scale factor is:

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8 0
3 years ago
Please help show work too please thank you
Black_prince [1.1K]
(3x-9) +(x+19)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

2x+(2x+10)+x=180
5x+10=180
-10=-10
5x=170
5 = 5
x=34

yes they are similar
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Step-by-step explanation:

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Thus, the slope of required line is 2.

6 0
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