let's recall Cavalieri's Principle, <u>solids with equal altitudes and cross-sectional areas at each height have the same volume</u>, so even though this cylinder is slanted with a height = x and a radius = 8, the cross-sectional areas from the bottom to top are the same thickness and thus the same area, so its volume will be the same as a cylinder with the same height and radius that is not slanted.

Given:
The minimum and maximum distance that the dog may be from the house can be found by using the equation:

To find:
The minimum and maximum distance that the dog may be from the house.
Solution:
We have,

It can be written as:

Adding 500 on both sides, we get

Now,
and 
and 
The minimum distance is 492 meters and the maximum distance is 508 meters.
Therefore, the correct option is C.
Answer:
yor answer is 52
Step-by-step explanation:
Answer: a. ( 1, 6 )
Step-by-step explanation:
If you go into desmos and plot your function you can go to each of the points in your answers and see just where the point is touching the line
5x + 15y = 1200. x. | y
___________
105 | 45
30. | 100
60. | 60
5(x) + 15y = 1200. 5(x) + 15y = 1200. 5(x) + 15y = 1200.
5(x) + 15(45) = 1200. 5(30) + 15y = 1200. 5(x) + 15(60) = 1200
5x + 675= 1200. 150 + 15y = 1200. 5x + 900 = 1200
5x = 1200 - 675 15y = 1200 - 150. 5x = 1200-900
5x = 525 15y = 1050. 5x = 300
x= 525÷5. y= 1050÷15. x = 300÷5
x= 105. y = 100 x = 60