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crimeas [40]
3 years ago
15

When the radius of a sphere is doubled, what is the resulting change in volume? A) The original volume is doubled. B) The origin

al volume is multiplied by 4. C) The original volume is multiplied by 8. D) The original volume is multiplied by 10.
Mathematics
1 answer:
kobusy [5.1K]3 years ago
5 0

Answer:

C

Step-by-step explanation:

The volume (V) of a sphere is calculated using the formula

V = \frac{4}{3}πr³

If the radius is doubled, that is r = 2r , then

V = \frac{4}{3}π (2r )³

(2r)³ = 8r³, thus the volume is multiplied by 8

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20/33 as a fraction. 60.6% as percentage and as a decimal 6.06 occurring
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What is the value of x in this triangle?
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Step-by-step explanation:

8 0
2 years ago
F(x) = x2 - 8x - 20<br> What is the axis of symmetry, vertex, and y intercept
igor_vitrenko [27]

1. vertex is -4 because:

x^2-8x-20,

a=1, b=-8 , c=-20

use vertex form! -b/2a = -8/2(1) = -8/2 = -4.

2. axis of symmatry is the x which is also -4. The same steps go for the second one.

3. y intercept, I think the answer is -20. Im not sure for this one.

IF YOU LIKE THIS ANSWER PLEASE GIVE ME BRAINLIEST.

5 0
3 years ago
A cash register contains $10 bills and $20 bills with a total value of $520. If there are 32 bills total, then how many of each
ohaa [14]

12 is the number of $10 bills

20 is the number of $20 bills

<u><em>Step-by-step explanation:</em></u>

<u><em /></u>

Hello,

<u>Let's note</u>

a    the number of $10 bills

b    the number of $20 bills

The total value is $520 so we can write the first equation (1)

    \boxed{\sf 10a \ + \ 20b \ = \ 520 }

We know that there are 32 bills in total so we can write the second equation (2)

    \boxed{\sf a \ + \ b \ = \ 32 }

(1) - 10*(2) gives

10a + 20b - 10(a+b) = 520 - 320 = 200

10a + 20b - 10a - 10b = 10b = 200

So b = 200/10=20

and then from (2) a = 32 - 20 = 12

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

7 0
3 years ago
Find the arc length and area of a sector with radius R =60 inches and central angle equals 30° round your answer to the nearest
Black_prince [1.1K]

Answer:

(a)31.42 inches

(b)942.48 Square Inches

Step-by-step explanation:

Given a sector of a circle with the following dimensions:

Radius of the circle =60 inches

Central Angle of the sector =30°

(a)Arc Length

Arc Length =\dfrac{\theta}{360^\circ}X2\pi r

=\dfrac{30}{360^\circ}X2*60*\pi\\\\=10\pi\\\\=31.42$ Inches (correct to the nearest hundredth)

(b)Area of the sector

Area of the sector =\dfrac{\theta}{360^\circ}X\pi r^2

=\dfrac{30}{360^\circ}X\pi*60^2\\\\=300\pi\\\\=942.48$ Square Inches (correct to the nearest hundredth)

3 0
3 years ago
Read 2 more answers
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