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iris [78.8K]
3 years ago
15

A small beach ball has a radius of 8 inches. A larger beach ball has a volume that is twice the volume of the small ball. What i

s the best approximation for the radius of the large beach ball?
Mathematics
1 answer:
8090 [49]3 years ago
6 0
V=(4/3)pir^3
find smaller
V=(4/3)pi8^3
V=(4/3)pi512
V=(2048/3)pi

twice of that
Vbig=2*(2048/3)pi
Vbig=(4096/3)pi
find radius
(4096/3)pi=(4/3)pir^3
divide both sides by pi
(4096/3)=(4/3)r^3
times both sides by 3
4096=4r^3
divide both sides by 4
1024=r^3
cube root both sides
8∛2=r
aprox
10.0794


the answer you are looking for is 8∛2 or 10.0794in or something close to that
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A circular sector has a central angle of π6 radians and a radius of 9 ft.
ohaa [14]

Answer:

\approx \: 21.2 \:  {ft}^{2}

Step-by-step explanation:

central \:  \angle   =  \frac{\pi ^{c} }{6}  = 30 \degree \\  \\ area \: of \: the \: sector =  \frac{30 \degree}{360 \degree}  \times \pi {(9)}^{2}  \\  \\  =  \frac{1}{12}  \times 3.14 \times  81 \\  \\  =   \frac{1}{12}  \times 254.34 \\  \\  = 21.195 \:  {ft}^{2}  \\  \\  \approx \: 21.2 \:  {ft}^{2}

8 0
3 years ago
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aleksley [76]
Your answer It would be y=2x+4

3 0
3 years ago
What is the perimeter of the smaller triangle?
Luden [163]

Answer:

14 mm

Step-by-step explanation:

Just as the little side is 1/4 of the larger side , so is the perimeter

1/4 * 56 = 14 mm

6 0
2 years ago
4 7/10 + 6/8 Fractions please help cant solve. used two methods but answer isnt the same as the answer page from the book
erastova [34]

Answer:

5 9/20

Step-by-step explanation:

4 7/10 + 6/8

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6 0
3 years ago
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Hey can some one look at this?
AURORKA [14]
I'm just going to give you a very quick answer, but I can answer the question
1 foot = 12 inches.
x feet = 60 inches.

1 foot * 60 inches = 12 * x divide by 12

60 / 12 = 5 

So the person is at least 5 feet tall. The height you want is 5 feet 4 inches.

So add 4 inches to 5 feet.
or
Add 4 inches to 60 inches.
you get 64 inches.

There are 20 entries all together. 2 people are 64 inches tall. 

P(64) = 2/20 = 1/10 = 0.1

Answer P(64) = 0.1

I would check all of this if I were you. I'm not sure I counted either one correctly. 

6 0
3 years ago
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