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castortr0y [4]
3 years ago
5

Find the volume of the solid. Round to the nearest tenth if necessary.

Mathematics
1 answer:
Vikki [24]3 years ago
7 0
V= \frac{4}{3}  \pi  r^{3} or V=4.1888 r^{3}

r=4 r^{3}=64*4.1888=268.083

V = 268.083 mm^{3} so go with A.

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If they want a sample committee consisting of four male and four female students, from a possible volunteer pool of eight male a
andreyandreev [35.5K]

Answer:

There are 2450 ways.

Step-by-step explanation:

We can pick first the 4 man, and then the 4 women. The configuration of men and women are independant with each other, so the total of possibilities is obtained by multiplying the total possibilities to pick 4 men and the total possibilities of picking 4 women.

To pick 4 men from a group of 8, the total number of possibilities is the amount of ways to pick 4 elements from a group of 8. This number is represented by the combinatorial number of 8 with 4

{8 \choose 4} = \frac{8!}{4!4!} = 70

To pick 4 women from a group of 7, we need to count the total amount of ways to pick 4 elements from a group of 7. This is the combinatorial number of 8 with 7

{7 \choose 4} = \frac{7!}{4!3!} = 35

Hence, the total amount of ways to pick 4 men and 4 women from a group of 8 men and 7 women is 70*35 = 2450.

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3 years ago
What is the area of a trapozoid
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Victor wants to purchase some clothes. He has $76. He buys a pair of jeans for $40, two shirts each at $9 and three pairs of soc
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A beautician sees clients each day to paint their nails. The function g(x) represents the number of finger nails painted, where
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Step-by-step explanation:

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3 years ago
Please help me with this question
Bezzdna [24]

Answer:

1.03

Step-by-step explanation:

To find the volume of a prism, find the area of the base and multiply it by the height.

The base is an octagon. The area is found A = 2(1+\sqrt{2})a^2. Substitute a = 0.5.

A = 2(1+\sqrt{2})(0.5^2)\\A = 4.828...(0.25)\\A = 1.21

The volume is 1.21*2.5 = 3.025.

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The volume is found as V = πr²h. Substitute r = 0.125 which is half the diameter of 0.25. Since they go half way, the height is h = 1.25.

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Since there are 3, they equal 3*0.06 = 0.18.

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