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gladu [14]
3 years ago
13

Convert 10.8% to a decimal

Mathematics
2 answers:
Aloiza [94]3 years ago
7 0

Answer:

0.108

Step-by-step explanation:

Burka [1]3 years ago
6 0
.108 I hope that this helps
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Answer:

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Step-by-step explanation:

We can write relations for the height of the rail as a function of initial length and expanded length, but the solution cannot be found algebraically. A graphical solution or iterative solution is possible.

Referring to the figure in the second attachment, we can write a relation between the angle value α and the height of the circular arc as ...

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Rearranging this last equation, we have ...

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It is this equation that must be solved iteratively. We find the solution to be ...

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So, the height of the circular arc is ...

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The rail will bow upward by about 44.5 feet.

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<em>Additional comments</em>

Note that s and c in the diagram are half the lengths of the arc and the chord, respectively. The ratio of half-lengths is the same as the ratio of full lengths: c/s = 2640/2640.5 = 5280/5281.

We don't know the precise shape the arc will take, but we suspect is is not a circular arc. It seems likely to be a catenary, or something similar.

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We used Newton's method iteration to refine the estimate of the angle from that shown on the graph. The iterator used is x' = x -f(x)/f'(x), where x' is the next guess based on the previous guess of x. Only a few iterations are required obtain an angle value to full calculator precision.

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Step-by-step explanation:

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