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Lubov Fominskaja [6]
3 years ago
6

If one bag of grass seed will cover 225 square feet, what is the minimum number of bags the haney family will need to cover thei

r entire backyard?

Mathematics
1 answer:
Veronika [31]3 years ago
8 0

Answer:

9 bags

Step-by-step explanation:

First we will need to calculate the area of their entire backyard, which has a shape of trapezium.

So the formula for the area of a trapezium is A=\frac{(a+b)*h}{2}

a and b are the lenghts of the parallel sides and h is the height.

From the picture a=10*5=50\\b=9*5=45\\h=8*5=40

Then we plug into our formula

A=\frac{(a+b)*h}{2} =\frac{(50+45)*40}{2} = 1200 square feet

To get the number of bags required we just simply divide the aree of their entire yard by the space that 1 bag covers. We get:

\frac{1900}{225} =8.444... bags

This is more than 8 bags so they will need 9 bags to cover their entire yard.

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Which rule describes the composition of transformations that maps pre- image ABCD to final image A“B“C“D“?
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Step-by-step explanation:

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1. Reflect quadrilateral ABCD across the x-axis. This reflection has the rule:

(x,y)\rightarrow (x,-y),

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A(3,5)\rightarrow A'(3,-5)\\ \\B(6,5)\rightarrow B'(63,-5)\\ \\C(4,1)\rightarrow C'(4,-1)\\ \\D(1,1)\rightarrow D'(1,-1)

2. Translate quadrilateral ABCD 6 units to the left and 1 unit up. This translation has the rule:

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A'(3,-5)\rightarrow A''(-3,-4)\\ \\B'(6,-5)\rightarrow B''(0,-4)\\ \\C'(4,-1)\rightarrow C''(-2,0)\\ \\D'(1,-1)\rightarrow D''(-5,0)

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