Answer:
C. )
Step-by-step explanation:
Given data:
The first equation is 3j +14=-5z.
The second equation is -10j=5z .
Add both the equations.
Substitute 2 for j in the first equation.
Thus, the value of j is 2 and z is -4.
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 = 24, PR = 404, QS = 404
Step-by-step explanation:
PR and QS are both diagonals of the rectangle. The diagonals of a rectangle bisect each other and are of equal length. Thus, we can say:
PR = QS
18x - 28 = x + 380
Solving for x, we get:
18x - x = 380 + 28
17x = 408
x = 408/17
x = 24
Thus, PR = 18(24) - 28 = 404 and QS = 24 + 380 = 404
Third choice is right.
