Answer:
.
Step-by-step explanation:
We have been given that a sphere has a radius of 8 centimeters. A second sphere has a radius of 2 centimeters. We are asked to find the difference of the volumes of the spheres.
We will use volume formula of sphere to solve our given problem.
, where r is radius of sphere.
The difference of volumes would be volume of larger sphere minus volume of smaller sphere.
Therefore, the difference between volumes of the spheres is .
Answer:
A. They're not simalier because two pairs of corresponding angles in the two trapezoids are congurant
Answer:
x=-6
QUESTION 31
Step-by-step explanation:
3x+5=2x-1
Subtract 5 from both sides
3x+5-5=2x-1-5
Simplify
3x=2x-6
Subtract 2x from both sides
3x-2x=2x-6-2x
QUESTION 32
1/3(6x+12) = 1/2(4x-8) + 8
1/2(4x-8) = 4x-8/2 +8
1/3(6x+12) = 4x-8/2 +8
2(6x+12) = 12(x-2) + 48
12x+24
12x+24 = 12x+24
12x+24 - 24 = 12x+24 - 24
12x=12x
0=0
Answer:
Coordinate of E:(-2,3) Coordinate of G: (2.5,1.5)
Parallel: slopes both = -1/3
1/2 segment: EG length= 3 BC length=6: This is the only one I'm not sure about.
I will show the work for both the problems down below.
Step-by-step explanation:
Finding coordinates:
1+(-5)/2=-2 5+1/2=3
(-2,3)
1+4/2= 2.5 5+(-2)/2= 1.5
(2.5,1.5)
Show work verifying the EG and BC are parallel:
You can do this by finding the slope
Slop formula (y2-y1)/(x2-x1)
(1.5-3)/(2.5-(-2))
Then simplify
-1.5/2/5= -1/3 which i your slope. You use the same formula and follow thee same steps for the points of BC and both will come up as -1/4 meaning they are parallel.
Show work verifying that EG and BC are parallel:
Use distance formula to find how long each line is
√(x2-x1)^2+(y2-y1)^2
√(2.5-(-2)^2)+(1.5-3)^2
Simplify
√4.5+(1.5)=3
Do the same thing with BC and you will get 6
