Answer:
8.5 * 10^-3
Step-by-step explanation:
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

Answer:
1. 37
2. 26
3. 26
Step-by-step explanation:
Subtracting 63 from 180, you find the linear pair, being 117 which helps find an angle in the lower triangle. The sum of all angles is 180, and to find 2, you subtract the known angles ( 180-(37+117)) which equals 26. Knowing the shape is a parallelogram, and the opposite sides are parallel, we can say 2 and 3 are congruent through the alternate interior angles theorem. 1 is found through applying the same theorem.
Answer:
(x+4)(x-2)
Step-by-step explanation:
We need to find two numbers that multiply to -8 and add up to 2. These are 4,-2.
Rewrite the polynomial:
x^2-2x+4x-8
and factor each pair:
x(x-2)+4(x-2) = (x+4)(x-2)
I believe the answer is b