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ra1l [238]
2 years ago
15

the sphere at the right fits snugly inside a cude with 14in edges. what is the approximate volume of the space between the spher

e and the cube?​
Mathematics
1 answer:
ella [17]2 years ago
6 0

Answer:Find the vol of the sphere:

radius of the sphere = 3 in

V = %284%2F3%29%2Api%2A3%5E3

V = 97.858

:

Find the vol between the sphere and cube:

216 - 97.858 = 118.142 cu/in

Step-by-step explanation:

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Suppose you live 4.4 miles from a hill. From your home you see a plane directly above the hill. Your angle of elevation to the p
IrinaVladis [17]
█ Explanation <span>█

Let's call the missing altitude 'x'. 

</span><span>✦ To find the plane's altitude, find the tan of 30 degrees. The side opposite is going to be x, while the side adjacent is going to be 4.4 miles. 
</span>✦ Tan(30)= \frac{x}{4.4}
✦ 5.7735= \frac{x}{4.4}
✦ x=4.4*.57735
✦ x=4.4*.55735
✦ x=2.54 mi
<span>✦ We usually write altitude in feet. 
</span>
Answer: 2.54 * 5280 ~ <span>13,400 ft

</span><span>Hope that helps! ★ If you have further questions about this question or need more help, feel free to comment below or leave me a PM. -UnicornFudge aka Nadia</span>
4 0
3 years ago
Plz help! I’ll mark brainliest!
yan [13]
AE Should be Craig answer
6 0
2 years ago
The top of a cylinder is sliced off by a plane. Determine volume of the bottom portion of the cylinder.
notka56 [123]

Answer:

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder

Step-by-step explanation:

Here we have the volume of a cylinder given by

Volume of a cylinder = πr²h

Where the cylinder is cut by a plane into portions of heights, bottom a and top b we have

Height of bottom of is then

Height = h - b

Therefore, volume of bottom of cylinder = π·r²h = π·r²(h - b)

Volume of bottom of cylinder = π·r²·h - π·r²b

Volume of bottom of cylinder = Volume of entire cylinder - Volume of top of cylinder.

8 0
3 years ago
If you invest $100 into an account that earns 9% interest each year, how many years will it take for you to have $200?
Helga [31]
It does not say simple or compound interest.
Simple interest is rarely used these days, so assume compound.
Use the standard formula:
future value = present value*(1+rate/n)^(nt)
n=number of times interest is compounded per year (=1)
t=number of years
Plugging values,
200=100(1.09)^t
1.09^t = 2
take log
t(log(1.09))=log 2
t=log(2)/log(1.09)=0.6931/0.08618=8.04 years.
8 0
3 years ago
Jack broke apart 5x216 as (5x200)+(5x16) to multiply mentally. What strategy did Jack use?
Sveta_85 [38]

For this case we have the following multiplication:

5 * 216

We can rewrite this multiplication in the following way:

5 * (200 + 16)

From here, we apply the distributive property.

We have then:

(5 * 200) + (5 * 16)

Therefore, Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

Answer:

Jack's strategy is:

Write the number in an expanded form and then apply the distributive property.

8 0
3 years ago
Read 2 more answers
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