Answer: the answer is 150 :)
Step-by-step explanation: Volume of a cone is
V = 1/3 pi * r^2 *h
The volume of one cone is
pi = 3.14
r = d/2 = 6/2 =3
h=9
Substitute what we know
V = 1/3 * (3.14) * (3^2) * (9)
= 27* 3.14
= 84.78 cm^3
The water cooler has 12717 cm^3 water
Divide the water by the volume of the paper cup cone and we will know how many paper cup cones we can fill, assuming we fill them completely.
12717/ 84.78 = 150
We can fill 150 paper cup cones. have a great day!
Question 1:Look at the first attached image.
We want to solve for the height of the smaller building. Let's start by making a right triangle with angle of 15 degrees and adjacent side of 51 m.
Let's solve for the other leg. Multiply the tangent with 51 m to get the length of the other leg.


Now, subtract that from 207 to get the height of the smaller building.

That's your answer.
Question 2:
The angle of elevation is congruent to the angle of depression because they are alternate interior angles.
Thus, you can choose the 1st and 4th choices as your answer.
Question 3:Look at the second attached image.
Angle E is congruent to angle D for the same reasons mentioned in the last question.
We can create an equation.

Distributive property

Subtract both sides by 1 and 2x

Since E and D are congruent, just plug this value into one of the equations for E or D. You get 46.
The third choice is your answer. Hope this helps! :)