Answer:
The new volume is 8 times smaller than the original volume
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x ----> the volume of the reduced sphere
y ----> the volume of the original sphere
so

we have
----> scale factor
substitute



therefore
The new volume is 8 times smaller than the original volume
Verify
The volume of the original sphere is
---> the radius is half the diameter

the volume of the reduced sphere is
---> the radius is half the diameter

Divide the volumes

Answer:
?
Step-by-step explanation:
Answer:
Part A: 5
Part B: 2
Step-by-step explanation:
to find the mean all you have to do is add all the numbers together and then divide it by how many numbers there are in the data set
3+4+4+4+5+6+6+8=40
40÷8=5
so the mean is 5
next to find the mean of absolute deviations you need to subtract each number in the data set from the mean then divide it by how many numbers are in the data set (if you get a negative like 6-5=-1 just take away the negative sign to make it positive)
5-3=2
5-4=1
5-4=1
5-4=1
5-5=0
6-5=-1
6-5=-1
8-5=-3
2+1+1+1+0+1+1+3=10
10÷5=2
so the mean absolute deviation is 2
9514 1404 393
Answer:
77
Step-by-step explanation:
The sum of the measures of the two given arcs is 180°, the measure of semicircle ADC. Using this fact, we can find x and the measure of DC.
AD +DC = 180
(19x -49) +(5x +37) = 180
24x = 192 . . . . . . . . . . . add 12, simplify
x = 8 . . . . . . . . . . divide by 24
Then the measure of DC is ...
DC = 5x +37 = 5(8) +37 = 40 +37
DC = 77
Dividing 21 by 7 will give to the proportion of 1:3 which is your scale for the bag with the 7inch base