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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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No matter if you are on Earth, the moon or just chilling in space, your mass does not change. But your weight depends on the gravity force; you would weigh less on the moon than on Earth, and in space you would weigh almost nothing at all. Where ever you are, your mass will always stay the same.

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3 years ago
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Jamal needs to contribute $4,050 towards his first year of college. If he has 1 year to save and $1,000 in his savings account a
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Answer:

Jamal needs to save $254.17 each month to cover his expenses.

Step-by-step explanation:

We know that there are 12 months in a year, and Jamal already has $1,000 towards college. Jamal still needs to save $3,050 more dollars because: 4,050 - 1,000 = 3,050. Next, we take how much he has yet to pay ($3,050) divided by how many months in 1 year (12), and that gives us 254.17 per month.

4 0
3 years ago
What percent of 160 is 56?
kakasveta [241]
160 = 100%
56 = x%

then you would cross multiply

160x = 56(100)

160x = 5600

x = \frac{5600}{160}

x = 35

so

35% of 160 is 56.
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3 years ago
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The perimeter of a rectangle is 24 inches. Find the dimensions if it’s length is 3 inches greater than its width
Jlenok [28]
2l+2w=24
l=3+w
The first equation comes from the perimeter formula. Since it is a rectangle, there are two lengths and two widths, which must all be added to get the perimeter.  The second equation shows that the length is equal to the width plus three.  In order to solve this equation, the substitution method should be used, since the one equation is already set equal to one of the variables (L)

2l+2w=24
l=3+w

2(3+w)+2w=24
Use distributive property to get rid of the parentheses
2(3+w)+2w=24
2(3)+2(w)+2w=24
6+2w+2w=24
Simplify like terms on the left side of the equation
6+2w+2w=24
6+4w=24
Subtract six from each side so that all of the w's are on one side
6+4w-6=24-6
4w=18
Divide each side by four to find the value of one w
4w/4=18/4
w=4.5
Plug 4.5 into the one equation to find the value of l
l=3+4.5
l=7.5
Put the numbers into the first equation and simplify:
2(7.5)+2(4.5)=24
15+9=24
24=24
So the length would be 7.5 inches, and the width would be 4.5 inches
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Answer:

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