Answer:
Option (2)
Step-by-step explanation:
Volume of a prism A (preimage) = 27 cubic units
Factor of dilation of the sides of this prism (image) = 
Volume scale factor of these prisms = 
Since, Volume scale factor = (Scale factor of dilation of the sides)³
= 
= 
Now from the formula of volume scale factor,
Volume of the image prism = 
= 3 cubic units
Therefore, Option (2) will be the answer.
Answer:
3 miles
Step-by-step explanation:
Slope is simply the change in position per unit rate. We could conclude that the steepness of the Applachian is the rate of change in position per unit time. Since the distance hiked on the Applachian is said to be 3 miles per hour, then we can conclude that the slope of the applachian is 3 miles
This is the change in miles / change in time.
Chang in miles = 3
Change in time = 1
Slope = 3/1
Slope = 3
Answer:
First Row:
75/100
0.75
75%
Second Row:
10/100 (or 1/10)
0.10
10%
Step-by-step explanation:
Count the squares that are shaded in out of the 100.
Just divide the fraction together for the decimal.
Move the decimal two places to the right to get the percentage
Step-by-step explanation:
A.
![{8}^{ \frac{1}{3} } = \sqrt[3]{8} = 2](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B%20%5Cfrac%7B1%7D%7B3%7D%20%7D%20%20%3D%20%20%5Csqrt%5B3%5D%7B8%7D%20%20%3D%202)
B.
![{8}^{ \frac{2}{3} } = { (\sqrt[3]{8}) }^{2} = {2}^{2} = 4](https://tex.z-dn.net/?f=%20%7B8%7D%5E%7B%20%5Cfrac%7B2%7D%7B3%7D%20%7D%20%20%3D%20%20%7B%20%20%28%5Csqrt%5B3%5D%7B8%7D%29%20%7D%5E%7B2%7D%20%20%3D%20%20%7B2%7D%5E%7B2%7D%20%20%3D%204)
C.
![{16}^{ \frac{3}{4} } = { (\sqrt[4]{16} )}^{3} = {2}^{3} = 8](https://tex.z-dn.net/?f=%20%7B16%7D%5E%7B%20%5Cfrac%7B3%7D%7B4%7D%20%7D%20%20%3D%20%20%7B%20%28%5Csqrt%5B4%5D%7B16%7D%20%29%7D%5E%7B3%7D%20%20%3D%20%20%7B2%7D%5E%7B3%7D%20%20%3D%208)
