Answer:
a) No Unique solution
b) No Unique solution
c) No unique solution
Step-by-step explanation:
The step by step explanation is as shown in the attachment below
The measure of the acute angle that the wire makes with the ground is 63.27°.
The situation forms a right angle triangle.
<h3>How to find the angle of a right triangle?</h3>
The length of the wire is the hypotenuse of the right triangle.
The distance from the foot of the pole is the adjacent side of the right triangle.
Therefore,
cos ∅ = adjacent / hypotenuse
cos ∅ = 18 / 40
cos ∅ = 0.45
∅ = cos⁻¹ 0.45
∅ = 63.2563160496
∅ = 63.27°
learn more on right angle triangle here: brainly.com/question/14866099
#SPJ1
Answer:
Gradient
Step-by-step explanation:
The slope represents the gradient of a line
You would first make an equation to show their individual price per hour multiplied by hours worked then added together to equal total cost. let X be mechanic 1 and Y be mechanic 2
10x + 5y = 1225
the second equation will use their price per hour added together to equal combined cost per hour
x + y = 180
you would solve by substitution. to do so, isolate either x or y in the second equation. for convenience, I will isolate x
x = 180 - y
plug in (180 - y) for x in the first equation
10(180-y) + 5y = 1225
1800 - 10y + 5y = 1225
-5y = -578
y = 115.6
this means that the second mechanic charges $115.60 per hour
to find the price per hour for the first mechanic, plug in (115.6) for y in the second equation
x + 115.6 = 180
x = 64.4
the first mechanic charges $64.40 an hour
All right angle triangles have perpendicular lines
