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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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If f(x) = -7x + 1 and g(x) = Square root of x-5,<br> what is (fºg)(41)?
Ghella [55]

This is similar to the other question you posted. Follow the same steps as before.

First find g(41).

g(41) = sqrt{x - 5}

g(41) = sqrt{41 - 5}

g(41) = sqrt{36}

g(41) = 6

We now find f(6).

f(6) = -7(6) + 1

f(6) = -42 + 1

f(6) = -41

Answer:

(fºg)(41) = -41

Did you follow?

6 0
3 years ago
Can you help me with this?​
DochEvi [55]

Answer:

I need some more context

Step-by-step explanation:

5 0
3 years ago
Select whether each system of equations has no solution, one solution, or infinitely many solutions.
erik [133]

Answer:

one solution, no solution, infinitely many solutions

Step-by-step explanation:

I rearranged the first equation into x=6-2y

plug that into the second equation

2(6-2y)-3y=26

12-4y-3y=26

12-7y=26

-7y=14

y=-2

Then you plug that into one of the equations

x+2(-2)=6

x-4=6

x=10

The solution to the first system is (10,-2)

the second system already has one equation as something equal to a single variable so you just plug that into the other one

4x-2(2x-4)=-6

4x -4x +8 =-6

8=-6

this is a false statement so the system of equation has no solution

Lastly I rearranged the first equation into y=2x-4 and then plug that in

6x-3(2x-4)=12

6x-6x+12=12

12=12

this statement is true so the system of equations has infinite solutions

5 0
3 years ago
The net of square pyramid is shown below. What is the surface area of the pyramid ?
DochEvi [55]
To find surface area, find the area of the net like you would for a composite figure.
For the square, area is length times width.
8*8=64
For the triangles, area is bh/2
8*8/2=32
Since there are four triangles of the same area, multiply by 4.
32*4=128

Add these values
128+64=192 cm^2

Final answer: D
7 0
3 years ago
Read 2 more answers
What's -5/12 ÷ -5/8 there fraction
Sergio [31]
Get the app Photomath to do basic math like this, otherwise:
First flip the reciprocal - (-5/8) changes to (8/5). 
Next reduce, the 5's change to 1, and the 12 and 8 leave it as...

(1/3) x 2 =

(2/3) As your answer   
4 0
3 years ago
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