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.
Hey there! :D
We are basically trying to find fractions that equal each other.
3/12= 1/4 4/16= 1/4
The first option applies.
5/8= 5/8 (simplest form) 8/15= 8/15 (simplest form)
The second does not apply.
1/6= 1/6 (simplest form) 5/30= 1/6
The third option does apply.
18/12= 3/2 3/2=3/2 (simplest form)
The fourth option does apply.
The first, third, and fourth option are the answers.
I hope this helps!
~kaikers
Answer:
2x³-5x-14x²+35
Step-by-step explanation:
this is the simplified version/answer
Answer:
a. 14
b. 7
Step-by-step explanation:
a. First we must add all the animals together,
Total Animals:
Birds: 6
Fish: 5
Mammals: 11
Reptiles: 3
Therefore our equation is:
6 + 5 + 11 +3 = 25.
Now, we must subtract by the number of mammals:
25 - 11 = 14
So our answer for a. is 14!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
b. So for this problem we must compute mammals + fish and than birds + reptiles. After we figure that out we must subtract them!
Mammals + Fish =
11 + 5 =
16
Next,
Birds + Reptiles =
6 + 3 =
9
Now, let us subtract them,
16 - 9 =
7
So our answer for b. is 7 more animals!
