7/9 = 0.77777778
honestly i just googled this
Answer:
72 feet from the shorter pole
Step-by-step explanation:
The anchor point that minimizes the total wire length is one that divides the distance between the poles in the same proportion as the pole heights. That is, the two created triangles will be similar.
The shorter pole height as a fraction of the total pole height is ...
18/(18+24) = 3/7
so the anchor distance from the shorter pole as a fraction of the total distance between poles will be the same:
d/168 = 3/7
d = 168·(3/7) = 72
The wire should be anchored 72 feet from the 18 ft pole.
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<em>Comment on the problem</em>
This is equivalent to asking, "where do I place a mirror on the ground so I can see the top of the other pole by looking in the mirror from the top of one pole?" Such a question is answered by reflecting one pole across the plane of the ground and drawing a straight line from its image location to the top of the other pole. Where the line intersects the plane of the ground is where the mirror (or anchor point) should be placed. The "similar triangle" description above is essentially the same approach.
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Alternatively, you can write an equation for the length (L) of the wire as a function of the location of the anchor point:
L = √(18²+x²) + √(24² +(168-x)²)
and then differentiate with respect to x and find the value that makes the derivative zero. That seems much more complicated and error-prone, but it gives the same answer.
Answer:
The answer is D.
Step-by-step explanation:
All the numbers starting from 1 to infinity are known as natural numbers. Answer D is not a number but all the other answers are.
Let
x----------> charge per hour to rent a jet sky in dollars
y----------> the total cost to rent a jet sky in dollars
we know that
<u>First Jet Sky Company</u>
---------> equation 
<u>Second Jet Sky Company</u>
---------> equation 
we know that
To find the number of hours for which the costs are the same
equate equation
and equation 
The intersection both graphs is the solution of the problem
using a graph tool
see the attached figure
the intersection point is 
That means
For 
the cost of the rent is
in both companies
therefore
<u>the answer is</u>

Answer:
352+58x
Step-by-step explanation:
Distribute to get 352+55x+4x-x
Combine like terms to get 352+58x.