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MAVERICK [17]
1 year ago
8

Find the area to the nearesy square foot of the shaded region below, consisting of a square with a circle cut out of it.

Mathematics
1 answer:
frutty [35]1 year ago
4 0

Based on the calculations, the area of the shaded region is equal to 22 square foot.

<h3>How to calculate the area of the shaded region?</h3>

By critically observing the geometric shapes, the area of the shaded region can be calculated by using this formula:

Area of shaded region = Area of square - Area of circle.

<u>Note:</u> The diameter of this circle is equal to the side length of the square because the circumference of this circle lies on the circumference of the square.

Radius = diameter/2 = 10/2 = 5 feet.

For the area of square, we have:

Area of square = S²

Area of square = 10²

Area of square = 100 square foot.

For the area of circle, we have:

Area of circle = πr²

Area of circle = 3.14 × 5²

Area of circle = 78.5 square foot.

Substituting the parameters into the formula, we have;

Area of shaded region = Area of square - Area of circle.

Area of shaded region = 100 - 78.5

Area of shaded region = 21.5 ≈ 22

Area of shaded region = 22 square foot.

Read more on area of circle here: brainly.com/question/2278809

#SPJ1

<h3>Complete Question:</h3>

Find the area to the nearest square foot of the shaded region below, consisting of a square with a circle cut out of it. Use 3.14 as an approximation for π.

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The simplified expression for the given expression will be:

c. 2x-0.2y

Step-by-step explanation:

Given expression:

(-7x+5.1y)-(-9x+5.3y)

To simplify the expression.

Solution:

In order to simplify the expression, we will first remove the parenthesis by reversing the signs of the terms inside the parenthesis which lies after a negative sign out side the parenthesis.

<em>This is because negative multiplies to a negative to give a positive and negative multiplies to a positive to give a negative.</em>

So, we have:

⇒ -7x+5.1y+9x-5.3y

Combining like terms

⇒ -7x+9x+5.1y-5.3y

<em>The like terms can be evaluated as</em>

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Thus, the simplified expression will be:

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Answer:

x=5 and y=2.

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system.

x+y=7...(1)

2x+3y=16...(2)

From equation (1), we will get:

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Upon substituting this value in equation (2), we will get:

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