If two figures or lengths are similar, then the ratios of the corresponding lengths are equal.
Thus, 8/32 =5/x
8x = 160
x = 20 feet
Therefore, the length of the flag pole was 20 feet long
Answer:
g(f(0)) = 2
Step-by-step explanation:
To find g(f(0)), you must first find f(0).
f(x) = 3x + 1
f(0) = 3(0) + 1 = 0 + 1 = 1
Now you input 1 into function g(x).
g(x) = (4x + 2)/3
g(1) = [4(1) + 2]/3
g(1) = [4 + 2]/3
g(1) = 6/3
g(1) = 2
g(f(0)) = 2
Answer:he melted
Step-by-step explanation: winters a good time to stay in and cuddle but put me in summer and i'll be a happy snow man
Answer:
28+8+2
Step-by-step explanation:
-2(3x+12y-5-17x-16y+4)
-2(3x+12y-1-17x-16y+4)
-2(3+12-1-17-16)
-2(-14+12-1-16)
-2(-14+12-1-16y)
-2(-14-4-1)
-2(-14-4-1)
28+8+2
Answer:
<em>128</em>
Step-by-step explanation:
<em>Method A.</em>
The volume of the prism is 2 cubic units.
Each cube has side length of 1/4 unit.
The volume of each cube is (1/4)^3 cubic unit.
The volume of each cube is 1/64 cubic unit.
To find the number of cubes that fit in the prism, we divide the volume of the prism by the volume of one cube.
(2 cubic units)/(1/64 cubic units) =
= 2/(1/64)
= 2 * 64
= 128
<em>Method B.</em>
Imagine that the prism has side lengths 1 unit, 1 unit, and 2 units (which does result in a 2 cubic unit volume.) Since each cube has side length 1/4 unit, then you can fit 4 cubes by 4 cubes by 8 cubes in the prism. Then the number of cubes is: 4 * 4 * 8 = 128
