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Gekata [30.6K]
4 years ago
7

This figure consists of a rectangle and a

Mathematics
1 answer:
defon4 years ago
3 0

Answer:

The perimeter of this figure is 66.56 cm

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the circumference of a quarter circle, plus the radius of the circle, plus the perimeter of rectangle minus the radius of the circle

so

The perimeter of the figure is equal to the circumference of a quarter circle, plus the perimeter of rectangle .

so

P=\frac{1}{4}[2\pi r]+2(L+W)

we have

r=8\ cm\\\pi=3.14\\L=17\ cm\\W=10\ cm

substitute

P=\frac{1}{4}[2(3.14)(8)]+2(17+10)

P=12.56+54=66.56\ cm

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Step-by-step explanation:

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Solve linear equation y=4-x y=x-4
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{ y = 4 - x
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3 years ago
a skateboard ramp has a slope 2/5.Which is the angle the ramp makes with the ground? A.66 degrees B. Not here C.24 degrees D.22
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3 0
4 years ago
Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1
zlopas [31]

Answer:

The cost of a roll of toilet paper is <u>$2</u> and the cost of a bottle of hand sanitizer is <u>$4</u>.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be x.

And the cost of a bottle of hand sanitizer be y.

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

4x+y=12\\\\y=12-4x\ \ \ \ .....(1)

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

6x+5y=32

Substituting the value of y from equation (1):

6x+5(12-4x)=32

6x+60-20x=32

60-14x=32

<em>Subtracting both sides by 60 we get:</em>

<em />-14x=-28<em />

<em>Dividing both sides by -14 we get:</em>

x=2.

<u>The cost of a roll of toilet paper = $2.</u>

Now, substituting the value of x in equation (1):

y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.

<u>The cost of a bottle of hand sanitizer = $4.</u>

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

7 0
3 years ago
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