Answer:
50,803,200 ways
Step-by-step explanation:
In this situation, since you should alternate girl-boy or boy-girl, the line-up can either start with a boy or a girl kicking which would yield one of the two following patterns:
BGBGBGBGBGBGBG or GBGBGBGBGBGBGB.
For each of those patterns, there are 7! ways to arrange all boys and 7! ways to arrange all girls. The number of ways that a line-up can be made for one round of kicking is:
There are 50,803,200 ways to set the line-up.
We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.
We know that height of sphere is equal to its radius. This means that .
Using , we will get:
Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is times volume of cylinder.
Therefore, the volume of the sphere would be 28 cubic meters.
Answer:
Yes.
Step-by-step explanation:
The two triangles are <em>similar</em> because they have:
All you need to do is to slide the smaller triangle into the larger one so that a small angle and one of its sides coincide.
Then the hypotenuses of each triangle will lie along the same line.
