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Evgesh-ka [11]
3 years ago
15

Work out the perimeter of this semicircle with radius 3cm. Give your answer in terms of π​

Mathematics
1 answer:
kondaur [170]3 years ago
5 0

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

A semicircle is given with radius of 3cm .

And we need to find the perimeter of the semicircle . We know the perimeter as ,

:\implies Perimeter = πr

:\implies Perimeter = 3cm × π

:\implies Perimeter = 3π cm .

Now there is the diameter of circle is 6cm . Hence totally the perimeter is ,

:\implies Perimeter = 3π + 6 cm

We were supposed to give answers in terms of π .

<h3>Hence the perimeter is ( 3π + 6 ) cm</h3>
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What is the volume in cubic centimeters of a right circular cone with radius 2 centimeters and height 9 centimeters?
andreev551 [17]

Answer:

V = 37.7cm^3

Step-by-step explanation:

The formula for the volume of a cone is:

V = \frac{1}{3} \pi r^2h

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V = \frac{1}{3} \pi (2)^2(9)

Now solve:

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3 years ago
Select the point that is a solution to the system of inequalities.<br> y≤2x-2<br> y≤ x²-3x
miss Akunina [59]

Both statements are true. Therefore (4,2) is a solution and option D is correct.

The given inequalities are y\leq 2x-2 and y\leq x^{2} -3x.

We need to select the point that is a solution to the system of inequalities (-2,-1), (1,3), (2,1) and (4,2).

<h3>What is an example of a system of inequalities in real life?</h3>

Inequalities can be seen in the speed limits on roads, the minimum age for seeing certain movies, and the distance you have to walk to go to the park. Inequalities represent a limit of what is permitted or achievable rather than a precise quantity.

Any point is a solution to this system of inequality if it satisfies both inequalities.

Check the inequalities by each option.

For (-2, -1), -1\leq 2(-2)-2 \implies -1\leq -6.

This statement is false because -1 is greater than -6. Therefore (-2,-1) is not a solution and option A is incorrect.

For (1, 3), 3\leq 2(1)-2 \implies 3\leq 0

This statement is false because 3 is greater than 0. Therefore (1,3) is not a solution and option B is incorrect.

For (2,1), 1\leq 2(2)-2 \implies 1\leq 2.

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7 0
2 years ago
Liam has $250. Then, he and his classmates bought a present for their teacher, evenly splitting the $p cost among the 24 of them
Semenov [28]

Answer: The required expression will be

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Step-by-step explanation:

Since we have given that

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\frac{6000-p}{24}

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3 years ago
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