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schepotkina [342]
3 years ago
11

What is the radius of a sphere with a volume of 872 ft', to the nearest tenth of a foot?

Mathematics
2 answers:
Lena [83]3 years ago
6 0

Answer:

5.9 ft

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

872 = 4/3 (3.14) r^3

872 =4.186666666 r^3

Divide each side by 4.1866666 on each side

872 / 4.186666666 = r^3

208.2802548 = r^3

Take the cube root of each side

(208.2802548)^(1/3) = r^3^(1/3)

5.927652012 = r

Rounding to the nearest tenth

5.9 ft

zhannawk [14.2K]3 years ago
3 0

Answer:

5.93 ft rounded to the nearest tenth is 5.9 ft

Step-by-step explanation:

Please mark me brainllest.

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4n+1=25<br>Please help with an explanation ​
dlinn [17]

Answer:

n = 6

Step-by-step explanation:

To isolate n, subtract 1 from both sides:

4n + 1 = 25

4n = 24

Then divide by 4 on both sides:

4n = 24

n = 6

Hope this helped :)

4 0
2 years ago
Read 2 more answers
For the question I just asked
guajiro [1.7K]

Answer:

a = 36

Step-by-step explanation:

We use pythagoras theorem here.

h = 60

p = 48

b = a

h² = p² + b²

60² = 48² + b²

3600 = 2304 + b²

b² = 3600 - 2304

b² = 1296

b = 36

7 0
2 years ago
A person who weighs 100 pounds on Earth weighs 16.6 lb. on the moon.
mario62 [17]

Answer:

See explanation below.

Step-by-step explanation:

Given: 100 lbs on Earth is 16.6 lbs on the moon.

a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.

b. An equation that relates the weight of someone on the Moon who travels to the Earth:

100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:

Moon Weight * 6.02 = Earth Weight.

Proof:

16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.

c. A 185 lb astronaut on Earth would weigh:

16.6 / 100 = .166. Take the Earth weight and multiply by .166:

185 * .166 = 30 lbs on the Moon.

d. A person who weighs 50 lbs on the Moon:

50 * 6.024 = 301.2 lbs on Earth.

Hope this helps! Have an Awesome Day! :-)

6 0
3 years ago
AB is the angle bisector of ∠CAD. Solve for x.
Sliva [168]

Answer: x=7

Step-by-step explanation:

Since AB is a bisector, it cuts the angle in half, and since we know that the angle is a right angle, we know it’s 90 degrees, so knowing that you use the equation 7x-4= 45 (since 45 is half of 90), add 4 to both sides so you have 7x=49, the divide 49 by 7 and you get 7, so x= 7

3 0
2 years ago
Paul lands a home mortgage of $58,200 at a
qwelly [4]

Answer:

$72,100

Step-by-step explanation:

To calculate the total principal+interest payment, you can use the formula to find the future value:

FV=PV(1+i)^n

FV= Future value

PV= Present value= $58,200

i= Interest rate= 7.40%

n= Number of periods of time= 3 years

Now, you can replace the values on the formula:

FV=58,200*(1+0.0740)^3

FV=58,200*(1.0740)^3

FV=72,100

According to this, the answer is that the  total principal + interest  payment will be $72,100.

8 0
2 years ago
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