Answer:
a) 186
Step-by-step explanation:
g(x) = 7(x^2 + 3) - 10
g(5) = 7((5)^2 + 3) - 10
g(5) = 7(25 + 3) - 10
g(5) = 7 × 25 + 7 × 3 - 10
g(5) = 175 + 21 - 10
g(5) = 186
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
Answer:
x=25
Step-by-step explanation:
since this is a triangle you would add up all the measure of this and set it equal to 180. 90 is the side with the box. so it would be 2x+15+x+90=180 then solve for x and you would get your answer.
1 baker would make 45 cakes in 3 hours
All 3 bakers would make 135 cakes in 3 hours