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Dmitriy789 [7]
3 years ago
11

Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.

Mathematics
1 answer:
kirza4 [7]3 years ago
5 0

Answer:

Area of the region = 15.03 in²

Step-by-step explanation:

Area of region between a regular hexagon with sides 6" and circle inscribed.

So Area of region = Area of regular hexagon - area of circle

Now area of regular hexagon = \frac{3a^{2} \sqrt{3}}{2}

where a = side of the hexagon = 6"

Now area of regular hexagon = \frac{3(6^{2})\sqrt{3}}{2}=\frac{108\sqrt{3}}{2} = 93.53 square in.

Area of circle inscribed = πr²

Here r is the radius of the circle = \sqrt{6^{2}-3^{2}}=\sqrt{36-9}

r = 5"

So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.

Now area of region = 93.53 - 78.5 = 15.03 in²

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4 0
3 years ago
The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length
wariber [46]

Answer:

Option A. x=10\ in

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

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5 0
3 years ago
Solve.<br><br> 5x-2y&lt;10<br> I give Brainliest!
Anestetic [448]
<h2>Answer:</h2>

This is impossible to solve.

<h2>Step-by-step explanation:</h2>

For an equation or inequality to be solvable, there must be the same number of inequalities as variables. Here, there is an x and there is a y. This means that you need at least two inequalities to solve it.

You can, however, rearrange to get x or y on one side.

This can be done for x:

5x < 10 + 2y

x < 2 + 2/5y

Or it can be done for y:

5x < 10 + 2y

5x - 10 < 2y

2.5x - 5 < y

8 0
2 years ago
Find the value of x for which m parallel to n <br> A. 31 <br> B. 33 <br> C. 39 <br> D. 41
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Hello!

We are told that n and m are parallel.
The angle that measures 105 degrees is supplementary with the alternate interior angle of the angle which measures (3x - 18) degrees. Supplementary angles add to equal 180 degrees, so we can make an equation by first finding the measure of the alternate interior angle.

180 - 105 = 75

The alternate interior angle measures 75 degrees, so we can set that equal to 3x - 18 to solve for x since alternate interior angles are congruent.

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31 = x

Answer:
x = 31
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2 years ago
Find the exact volume of the cylinder.
GaryK [48]
It is "(C) 225pi cm3"
I am 100% sure this is correct.
8 0
3 years ago
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