Answer:
Step-by-step explanation:
Given:
The expression to simplify is given as:
In order to simplify this, we have to use the law of indices.
1.
So,
Substitute this value in the above expression. This gives,
Now, we use another law of indices.
2.
So,
Substitute these values in the above expression. This gives,
Finally, we further simplify it using the law
So,
Therefore, the given expression is simplified as:
let's notice something, we have a circle with a radius of 12 and one 90° sector is cut off, so only three 90° sectors of the circle are left shaded, so namely the cone will be using 3/4 of that circle.
think of it as, this shaded area is some piece of paper, and you need to pull it upwards and have the cutoff edges meet, and when that happens, you'll end up with a cone-shaped paper cup, and pour in some punch.
now, once we have pulled up the center of the circle to make our paper cup, there will be a circular base, its diameter not going to be 24, it'll be less, but whatever that base is, we know that is going to have the same circumference as those in the shaded area. Well, what is the circumference of that shaded area?
well then, the circumference of that circle at the bottom will be 18π, so, what is the diameter of a circle with a circumferenc of 18π?