Answer:
Step-by-step explanation:
For similar figures, side lengths (and any other linear measure) are proportional. Areas are proportional to the square of the scale factor for side lengths.
Perimeter 1/Perimeter 2 = CD/EF
21/18 = CD/6
CD = 6(21/18)
CD = 7 . . . cm
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Area 2/Area 1 = (Perimeter 2/Perimeter 1)²
Area 2/98 = (18/21)²
Area 2 = 98(6/7)²
Area 2 = 72 . . . cm²
1*3=3
6*7=42
3/42 can be simplifyed
to 1/14
Since the object is a cube, times 42 three times by itself. You have to do this because it is length x width x height. 42 x 42 x 42. The answer you're looking for is 74,088 cubic inches because it is three-dimensional.
Answer:
Russell family's sprinkler: 40 hours
Gonzales family's sprinkler: 20 hours
Step-by-step explanation:
Let's call the amount of time the Russell family's sprinkler was on by X, and the Gonzales family's sprinkler by Y.
We can then formulate the equations:
X + Y = 60
X*35 + Y*40 = 2200
We can solve this system multiplying the first equation by 35, and then subtracting the result from the second equation:
35*X + 35*Y = 2100
5*Y = 100
Y = 20
from the first equation:
X + 20 = 60
X = 40
Russell family's sprinkler: 40 hours
Gonzales family's sprinkler: 20 hours
Answer:
79 inches
Step-by-step explanation:
2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in
rounded
79 inches
