Answer:
The answer is 3.12
Step-by-step explanation:
Answer:
72 minutes!
Step-by-step explanation:
We can form the linear equation :
y = 0.06x + 8
y = 12.32
12.32 = 0.06x + 8
4.32 = 0.06 x
x = 72
tadah!
By solving a system of equations, we will see that m measures 12 units.
<h3>
How to get the measure of m?</h3>
Notice that we have 3 right triangles.
Then we can write the equations:
cos(a) = 6/m
For the small triangle on the left, where m is the hypotenuse.
cos(a) = m/(6 + 18)
For the larger triangle (the one composed of the two triangles).
Where in both equations, angle "a" is the one in the top left.
Then we have the system of equations:
cos(a) = 6/m
cos(a) = m/(6 + 18)
Then we can write:
6/m = m/(6 + 18)
If we simplify the expression, we get:
6*(6 + 18) = m^2
6*(24) = m^2
144 = m^2
√144 = m = 12
Then we conclude that m measures 12 units.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer:

Step-by-step explanation:
We are given the following in the question:
Controller cost = $135
System cost = $2.50 per foot of pipeline
The total cost depends upon the length of Pole.
Let the system requires F feet of pipeline.
Total cost will be given by the equation:

is the required expression for total cost
F: feet of pipeline required
c(F): Total cost of installation