Answer:
The flagpole's shadow is 16.875 feet longer than the man's shadow
Step-by-step explanation:
The total length of the shadow is expressed by taking its actual length by a factor that depends on the position of the sun which is constant for the man too. The expression is as follows;
Height of the shadow=actual height of the flagpole×factor
where;
length of the flagpole's shadow=22.5 feet
actual height of the flagpole=32 feet
factor=f
replacing;
22.5=32×f
32 f=22.5
f=22.5/32
f=0.703125
Using this factor in the expression below;
Length of man's shadow=actual height of man×factor
where;
length of man's shadow=m
actual height of man=8 feet
factor=0.703125
replacing;
length of man's shadow=8×0.703125=5.625 feet
Determine how much longer the flagpole's shadow is as follows;
flagpoles shadow-man's shadow=22.5-5.625=16.875 feet
The flagpole's shadow is 16.875 feet longer than the man's shadow
We have a + b = 180 and a = 12 + b;
Then, 12 + b + b = 180;
12 + 2b = 180;
2b = 168;
b = 84;
a = 12 + 84;
a = 96;
Answer:
(Answer D)
Step-by-step explanation:
Please use " ^ " to indicate exponentiation: y = -8x^2 - 2, y = -8x^2
The graph of y = -8x^2 is an inverted parabola with vertex at (0, 0).
That of y = -8x^2 - 2 is the same as above, except that the whole graph has been shifted 2 units down (Answer D).
Answer:
75%
Step-by-step explanation:
If he used 6 out of 8 gb of his cell phone plan we can write that as a fraction as 6/8.
We can simplify 6/8 to 3/4. And 3/4 when divided is equal to 0.75 which when written as a fraction is 75%.
I hope this helps!
Answer:
2/5 or 0.4
Step-by-step explanation:
:)
