Answer
D. Angle 8
Step-by-step explanation:
ANSWER

EXPLANATION
The first equation is

The second equation is

We want to eliminate y, so we multiply the first equation by



We now subtract equation (3) from (2)



Multiply both sides by



Substitute into the first equation to solve for x .

Multiply to obtain



Multiply both sides by 2.


The solution is

The cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1
<h3>How to calculate the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft?</h3>
The given parameters are:
Cost per cubic foot = $11.07 per cubic foot
Height = 40 feet
Diameter = 1.5 feet
Shape = Cylinder
The volume of the cylinder is calculated as:
V = πr^2h
Where
r = Diameter/2
So, we have
r = 1.5/2
Evaluate
r = 0.75
The volume of the cylinder becomes
V = 3.14 * 0.75^2 * 40
Evaluate
V = 70.65
The cost per cubic foot is $11.07 per cubic foot.
So, the cost of a utility pole is
Cost = $11.07 * 70.65
Evaluate
Cost = $782.1
Hence, the cost of a utility pole with a diameter of 1.5 ft and a height of 40 ft is $782.1
Read more about volume at:
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Answer:
B. [-1, ∞).
Step-by-step explanation:
g(x) = 3|x − 1| − 1
When x = 1 g(x) = 3(0) - 1 = -1.
As all negative vales of x will give positive values of |x - 1| then g(x) = -1 is its minimum value. The graph will be shaped like a letter V with the vertex at (1,-1).
Therefore the range is [-1, ∞).