Answer:
Step-by-step explanation:
If you had a solid cylinder, in order to find the amount of material that makes up that solid cylinder, you would find the volume using the radius of 4 (half of the diameter 8). BUT we want to know the volume of the solid with the radius of 4 minus the solid that has a radius of 2.5 (half of the diameter 5).
That's volume outer - volume inner. To find the outer volume:
so
and
and do the same for the inner volume:
and
Subtract the inner from the outer:
If you need your answer in decimal form, then the volume is
9189.16 cm³
Answer:
(x+2)
Step-by-step explanation:
factor out the equation and get
(x+2)(6x-5)
Hello,
I hope so far you and your family are staying safe and healthy!
We need to solve this step by step.
The college student has $700 in their account. But then she spends $165 on books from that money. So we need to Subtract that.
700 - 165 =535
However, later on, she deposits $190 to the same account. So we need to take the remain we had and add it to the new amount.
535 + 190 = 725
Thus,
There are $725 in the account.
I wish you all the best!
~Gary
Answer:
54,000
Step-by-step explanation:
Answer:
1) 16
2a) 100 -a -2b
2bi) (100 -a -2b)/4
2bii) 11
Step-by-step explanation:
1. Put the numbers where the corresponding variables are and do the arithmetic.
(2(1) +3(-2))^2 = (2 -6)^2 = (-4)^2 = 16
__
2. The pieces cut from the wire have the lengths a, b, b. The sum of those lengths is a+b+b = a+2b.
2a. The remaining length is what is left when the total of cut pieces is subtracted from the original amount:
100 -(a+2b) = 100 -a -2b
2bi. The perimeter of the square is the amount in part (2a). A square has 4 sides of the same length, so each side has a length that is 1/4 of the perimeter. The side length is ...
(100 -a -2b)/4 . . . . length of one side of the square
2bii. Fill in the given values for "a" and "b" and do the arithmetic.
(100 -24 -2(16))/4 = (76 -32)/4 = 44/4 = 11 . . . one side of the square
