Answer:
Step-by-step explanation:
If the radius of a cylinder is increased by 20% and its height is decreased by 10%.
To find : What is the percentage change in the volume?
Solution :
Let r be the radius of cylinder is increased by 20%
i.e,
The old radius is 5 and new radius is 6.
Let h be the height of cylinder is increased by 10%
i.e,
The old height is 10 and new height is 11.
The volume of old cylinder with r=5 and h=10
The volume of new cylinder with r=6 and h=11
Volume change is
Percentage change is
Therefore, The percentage change in the volume is 6.4%.
4.0
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To calculate elapsed time:
Count on in minutes from the earlier time to the nearest hour.
Count on in hours to the hour nearest to the later time.
Count in minutes to reach the later time.
The gap from 9:25 PM to 10 PM is 35 min. The gap from 6 AM to 6:15 AM is 15 min. So far, that accounts for 35+15 = 50 min. The gap from 10 PM to midnight is 2 hours (10+2 = 12). Then the gap from midnight to 6 AM is 6 hours. So we have 2+6 = 8 hours. Add on the minute portion we computed to get 8 hours, 50 minutes.
Answer: 8 hours, 50 minutes
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Answer:
Step-by-step explanation:

The "midpoint formula" is the same as the "average formula:"
x-coordinate of the midpoint = average of -2 and 10:
= (-2 + 10) / 2 = 4
y-coordinate of the midpoint = average of 3 and 3:
= (3+3) / 2 = 3
Thus, the midpoint of the given line segment is (4,3).
Answer:
31, 32, 33
Step-by-step explanation:
x + x + 1 +x + 2 = 96
3x + 3 = 96
-3 -3
3x = 93
/3 /3
x = 31
31 is the first number, so since they’re consecutive, the second two numbers are 32 and 33.