
just a plain vanilla substitution
Answer:
Approximately 42 times larger
Step-by-step explanation:
The diameter of a sphere is 2,160 mm.
The diameter of a second sphere is 7,520 mm.
To see how many times larger is the diameter of second sphere is than the diameter of the second sphere, we divide to get:


To see how many times larger the volume is, we cube both sides

This implies that

Therefore the volume of the second sphere is approximately 42 times larger
The answer for your problem (1) is 7.41
Answer:
7
Explanation:
From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.
So all we need to is multiply the corresponding sides of AMY by 1/3, so we'll have;

We can then go ahead and find the perimeter of MEG. Note that to find the perimeter of a triangle, we add all the length of its sides;

The perimeter of MEG is 7.