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.
Answer:
There is one solution.
x = -17
<em>Proof and step-by-step explanation:</em>
Step 1: <em>Add the numbers</em>
3x-7 = 4+6+4x
3x-7 = 10+4x
Step 2: <em>Move</em><em> </em><em>terms</em>
3x-7 = 10+4x
3x-4x = 10+7
Step 3: <em>Collect the like terms and calculate the sum</em>
3x-4x = 10+7
-x = 17
Step 4: <em>Change the sign by multiplying both sides by -1</em>
-x (×-1) = 17 (×-1)
x = -17
I hope this helped ! :)
I would guess sometimes, but I'm not sure how something can be true and false at the same time. If something is both true and false it won't always be true and it won't never be true, so I'm guessing it's sometimes.
Answer:
12(m -5) = 540
Step-by-step explanation:
The left side of the equation is in the form of a product. A suitable product is ...
(calories/minute) × (minutes jogging) = (calories burned)
If m represent Anzelm's total minutes, then m-5 will represent the number of minutes actually jogging. This is what goes inside parentheses, so we have ...
(12 calories per minute) × ((m -5) minutes) = 540 calories
Leaving off the units, which we know are consistent, we have ...
12 (m -5) = 540
Answer:
4(xy + 3w + 3z)
Step-by-step explanation:
The GCF is 4, so you can take that out and put it in front of the parentheses. Then you just divide all of the terms by 4 (4xy / 4 = xy; 12w / 4 = 3w; 12z / 4 = 3z), etc.
