Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so
we have
----> scale factor
substitute
therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter
the volume of the reduced sphere is
---> the radius is half the diameter
Divide the volumes
The answer is 2, simply because you need to make that negative sign a positive sign. To do that you will need to flip the numerator and denominator. Meaning that it will be 4/1 now. By doing this your exponent became positive! So if your teacher just wanted you just rewrite it, it would be (4/1)^1/2, but if you were to evaluate that, it would be 2
Answer:
Nope
Step-by-step explanation:
I'm in 7th grade.
Answer:
25 = x
Step-by-step explanation:
If the angles are congruent, they are equal
5x+15 = 6x-10
Subtract 5x from each side
5x+15 -5x = 6x-5x-10
15 = x-10
Add 10 to each side
15+10 = x-10+10
25 = x
1. Add 9
2. Add 1/3
3. Add 15
