Problem 2
Part (a)
The 3D shape formed when rotating around the y axis forms a pencil tip
The shape formed when rotating around the x axis is a truncated cone turned on its side.
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Part (b)
Check out the two diagrams below.
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Problem 3
Answer: Choice A and Choice C
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Explanation:
Think of stacks of coins. Let's say we had 2 stacks of 10 quarters each. The quarters are identical, so they must produce identical volumes. Those sub-volumes then add up to the same volume for each stack. Now imagine one stack is perfectly aligned and the other stack is a bit crooked. Has the volume changed for the crooked stack? No, it hasn't. We're still dealing with the same amount of coins and they yield the same volume.
For more information, check out Cavalieri's Principle.
With all that in mind, this leads us to choice C. If the bases are the same, and so are the heights, then we must be dealing with the same volumes.
On the other hand, if one base is wider (while the heights are still equal) then the wider based block is going to have more volume. This leads us to choice A.
Answer:
As shown in the attachment,
Step-by-step explanation:
So the first step is to have a line segment.
Put your compass on one of the points and extend the compass to be slightly more than half. Just a bit over half.
Mark a small curvy line above your segment and on the bottom at that length.
Now pick up the compass, don't change the length of extension, and put it on the other point of your segment.
Mark above and below your segment like before so it can intersect.
draw a line through the two intersections.
I hope I answered your question.
Answer:
the answer is c
Step-by-step explanation:
I just did this quiz
1 hr = 60 min
1/6 hr = (60/6) min = 10 min
so the bell rings every 10 min. Since 1 hr = 60 min, this means that 2/3 of that is 40 min. So the bell will ring 4 times (divide 40 over 4) in the next 2/3 of an hour, which is the same as saying "the bell will ring 4 times in the next 40 minutes"
Answer: 4 times