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elena-14-01-66 [18.8K]
3 years ago
5

Order the numbers from greatest to least. 1.01 , 1.1001 , 1.101 , 1.0001

Mathematics
1 answer:
cluponka [151]3 years ago
4 0
1.01
1.101
1.0001
1.1001


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Which equation can be used to find the value of x?
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C

Step-by-step explanation:

We know every triangle equals 180 so were just going to take 180 - 42 = 138 then were going to do 138 - 67 = 71  we can check our work by doing

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Lets look at our answers;

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In the diagram below , tan theta =square root 3. What is the value of m?
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Answer:

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we know that

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Two poles are connected by a wire that is also connected to the ground. The first pole is 18 ft tall and the second pole is 24 f
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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.

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The wire should be anchored 72 feet from the 18 ft pole.

_____

<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.

__

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.

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3 years ago
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