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Sedbober [7]
3 years ago
6

Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your anser as a percentage ro

unding to the nearest hundreth in percentage form

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0
<h3>Answer:  21.46%</h3>

=======================================================

Explanation:

Let's find the area of one of the circles

A = pi*r^2

A = pi*10^2

A = 100pi

One circle is exactly 100pi square meters in area.

Four of the circles then combine to a total area of 4*100pi = 400pi square meters.

The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.

The shaded region would therefore have an exact area of 1600-400pi square meters.

This approximates to 1600-400pi = 343.362938564082

Divide this over the area of the square to get the probability we want to find:

343.362938564082/1600 = 0.21460183660256

That's roughly 0.2146, which converts to 21.46%

Mashcka [7]3 years ago
3 0

Answer:

21.5%

Step-by-step explanation:

Find the area of the square, which is 40² or 1600 sq m

Find the area of one circle, multiply it by 4, then subtract that from 1600

A = 100(3.14) = 314

314 x 4 = 1256

1600 - 1256 = 344

Probability of landing in the shaded region is 344/1600 = 21.5%

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3. Answer: 35x+12

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Carol is ordering t-shirts for her club and there are two different patterns to choose from. The first shirt is green and blue s
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14 Striped and 10 Flowered

Step-by-step explanation:

This can best be determined using a set of linear equations that are solved simultaneously.

This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation

Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,

g + h = 24 and

15g + 13h = 340

g = 24 - h

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2h = 20

h = 10

g = 24 - h

g = 24 - 10

= 14

4 0
3 years ago
Max wants to make a cute collar and tie for his dog. He needs to cut a 38 inches fabric into two pieces. The long longer piece m
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The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
blagie [28]

Step-by-step explanation:

Length = L

Width = W

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we have

L = 16W

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