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Elanso [62]
3 years ago
5

What is the solution of the system? Use the elimination method.

Mathematics
1 answer:
Yuki888 [10]3 years ago
7 0
I got D.There is no solution
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Ex 7) Imagine a mile-long bar of metal such as the rail along railroad tracks. Suppose that the rail is anchored on both ends an
Fantom [35]

9514 1404 393

Answer:

  about 44.5 feet

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 ...

  h = c·tan(α) . . . . . . where c = half the initial rail length

Then the length of the expanded rail is ...

  s = r(2α) = (c/sin(2α)(2α) . . . . . . where s = half the expanded rail length

Rearranging this last equation, we have ...

  sin(2α)/(2α) = c/s

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

  α ≈ 0.0168538794049 radians

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

  h = 2640.5·tan(0.0168538794049) ≈ 44.4984550191 . . . feet

The rail will bow upward by about 44.5 feet.

_____

<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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3 years ago
A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of p
liq [111]

Answer:

here p=0.65 and n=100 hence standard error =(p*(1-.

Step-by-step explanation:

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2 years ago
Abigail has $30.00 to buy groceries. She needs to buy some apples, some bananas, and 3 pounds of potatoes. Fuji apples are $1.79
maks197457 [2]

Answer:

30.00 – (1.79a + 0.36b + 2.99)

Step-by-step explanation:

you need to rest the amount of money pay.

6 0
3 years ago
Write down how you skip-count by ten from 350 to 240
Mamont248 [21]

Answer: 350,340,330,320,310,300,290,280,270,260,250,240.


Step-by-step explanation:

To solve this exercise you must keep on mind the following information:

1. By definition skip counting is about counting by a number which is not the number 1.

2. Skip counting by ten from 350 to 240 means that you need to subtract 10 to a number to find the other one.

3. Therefore, you must subtract 10 to 350 and then you need to do this over and over again until you get 240.

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2 years ago
How does 3.71 round up to 3.7​
jeka57 [31]

Answer:

Step-by-step explanation:

cuz 7 is greater then 5

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2 years ago
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