We will have the following:
First, we can see that the volume of the sphere and the regular cone are given by:
And:
Now, since the volume of the cone is inscribed by a maximum stablished by the sphere, we know that the maximum height for the cone will be equal to the radius of the sphere, so, we re-write the volume of the cone:
i. Now, we determine the ratio of both volumes as follows:
[Cone to sphere]
So, the ratio of the volumes of the cone to the sphere will be of 1:4.
ii. And the expression in terms of r for the volume inside the sphere but outside the cone will be:
So, the expression is:
It's simple, first you have to read the text, let's start.
She arrives with x
Jenny bought 7 T-shirts
x-7*price, so x-7*9.95
The cashier charged her an additional.
Then left for her 7.28
therefore
She started with $90.00
Answer:
A.
Step-by-step explanation:
We have been given image of two parallel lines r and s cut by a transversal t. We are asked to find the measure of angle 1.
We can see from our given diagram that the angle that measures 30 degrees is corresponding angle to the supplementary angle of 1. So angle that measures 30 degrees will be supplementary angle of angle 1.
Since supplementary angles add up-to 180 degrees, so we can set an equation as:
Therefore, the measure of angle 1 is 150 degrees and option A is the correct choice.
Best to multiply by (y+1)(y-1) since on one side of the equation you have something divided by (y+1) and on the other something over (y²-1). since (y+1)(y-1) expanded is y²-1 this would work.