Answer:
Step-by-step explanation:
G=30t+40, C=20t+60, C=G
30t+40=20t+60, subtract 40 from each side
30t=20t+20, subtract 20t from each side
10t=20, divide each side by 10
t=2
So both garages charge the same fot two hours of work.
-44+18=-26degrees
negative 26 degrees is your answer
please mark brainliest and have a nice day
Answer:
5.) 39
6.) 52
Step-by-step explanation:
5.) 90-51= 39
6.) 74 + 34= 108
180-108= 72
56+72= 128
180-128= 52
x=52
Answer:
A parallelogram can have 2 pairs of parallel sides.
Step-by-step explanation:
Think of a rectangle for a parallelogram. It has 2 pairs of parallel sides which makes it a parallelogram. The same for a square as well as it has 2 parallel pairs. Just remember that a parallelogram always has 2 pairs of parallel sides.
Refer to the diagram shown below.
When x = 30 ft, the cable is at 15 ft, therefore y(30) = 15.
That is,
a(30 - h)² + k = 15 (1)
Also, because the distance between the supports is 90 ft, therefore
y(0) = 6 ft, and y(90) = 6 ft
That is,
a(-h)² + k = 6 (2)
a(90 - h)² + k = 6 (3)
From (2) and (3), obtain
a(90 - h)² = ah²
90² - 180h + h² = h²
180h = 90²
h = 45 ft.
From (1) and (2), obtain
225a + k = 15
2025a + k = 6
Therefore
1800a = -9
a = - 0.005
k = 15 - 225(-0.005) = 16.125 ft
Answer:
The equation for the cable is
y = - 0.005(x - 45)² + 16.125
A graph of the solution verifies that the solution is correct.