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Blizzard [7]
3 years ago
8

Guys I need help pleeeaassee i'm trying to graduate! Find the area of the shaded portion in the square. (assuming the central po

int of each arc is the corresponding corner)

Mathematics
1 answer:
Licemer1 [7]3 years ago
6 0
Area of the square = (side)*(side)
Area of the square = (2)*(2)
Area of the square = 4 

Area of the quarter circle = (area of full circle)/4
Area of the quarter circle = (pi*r^2)/4
Area of the quarter circle = (pi*1^2)/4
Area of the quarter circle = (1/4)*pi

The top shaded region is found by taking the area of the square and subtracting off the area of the quarter circle, so we get,

top shaded region area = (area of square) - (area of quarter circle)
top shaded region area = (4) - (1/4pi)

The two shaded regions are congruent so we can double the area of the top region to get the total overall area. 

Total shaded area = 2*(top shaded region area)
Total shaded area = 2*(4 - pi/4)
Total shaded area = 8 - pi/2
Total shaded area = 8 - (1/2)pi

Therefore, the final answer is 8 -  \frac{1}{2}\pi

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4(4x + 9)

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The regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

<h3>What is the percentage?</h3>

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

We have:

If everything in a store is 20% off, and the discounted price of an item is $18.00

Let's suppose the regular price is x

(100-20)% of x = 18

80x/100 = 18

x = $22.5

Thus, the regular price is $22.5 if everything in a store is 20% off, and the discounted price of an item is $18.00

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Answer:

(A)If the points are on the same line, then the points are collinear. True

Step-by-step explanation:

Given the conditional statement:

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Its converse will be:

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This is true because by definition of collinearity, the points must be on the same line. Therefore, no counter example is needed.

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