Let the radius of the base be r units
Then the height will be 3r units
Volume of cylinder = pi r^2 h
24=pi r^2 × 3r
Pir^3 = 24/3
Pi r ^3 =8
r^3 = 8/pi
R = 2 / pi^1/3
Height = 6/pi^1/3
Answer:
12 and -12
Step-by-step explanation:
12x-12y is the expansion using the distributive property, so the coefficient of x is 12 and the coefficient of y is -12
I think the answer would be (A.)
Answer:
225
Step-by-step explanation:
Let h represent the number of hamburgers sold. Then h-61 is the number of cheeseburgers sold. The combined total is ...
h +(h -61) = 389
2h = 450 . . . . . . add 61
h = 225 . . . . . . . divide by 2
There were 225 hamburgers sold on Thursday.
Here's a pattern to consider:
1+100=101
2+99=101
3+98=101
4+97=101
5+96=101
.....
This question relates to the discovery of Gauss, a mathematician. He found out that if you split 100 from 1-50 and 51-100, you could add them from each end to get a sum of 101. As there are 50 sets of addition, then the total is 50×101=5050
So, the sum of the first 100 positive integers is 5050.
Quick note
We can use a formula to find out the sum of an arithmetic series:

Where s is the sum of the series and n is the number of terms in the series. It works for the above problem.