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Leviafan [203]
3 years ago
13

Help! Please!!!!! Thank you

Mathematics
1 answer:
irga5000 [103]3 years ago
6 0

30° the angle is ro small to be 90° to small to be 60° and to small to be 120°

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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.

__

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.

3 0
3 years ago
Please help me answer this question.
tatuchka [14]

Answer:

12.5 ft

Step-by-step explanation:

30 : x = 24 :10

30*10 = 24x

x= 300/24 =12.5

3 0
3 years ago
A researcher decides to determine if the type of writing utensil that a student uses while doing their math affects their accura
alexandr1967 [171]

Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.

<h3>What are qualitative and quantitative variables?</h3>
  • Qualitative variables: Assumes labels or ranks.
  • Quantitative variables: Assume numerical values.

In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.

Hence, since the variable assumes labels and not numbers, it is classified as qualitative.

More can be learned about quantitative and qualitative variables at brainly.com/question/20598475

5 0
3 years ago
Kevin is 5 feet tall. Which proportion could you use to find the height of the flagpole? A. 3/5=12/x
dalvyx [7]
The answer is going to be A.

Shadow 1 / Height 1 = Shadow 2 / Height 2
4 0
3 years ago
Read 2 more answers
A credit card company charges 18.6% percent per year interest. Compute the effective annual rate if they compound, (a) annualy,
Darina [25.2K]

Answer:

a) Effective annual rate: 18.6%

b) Effective annual rate: 20.27%

c) Effective annual rate: 20.43%

d) Effective annual rate: 20.44%

Step-by-step explanation:

The effective annual interest rate, if it is not compounded continuously, is given by the formula

I=C(1+\frac{r}{n})^{nt}-C

where

<em>C = Amount of the credit granted </em>

<em>r = nominal interest per year </em>

<em>n = compounding frequency </em>

<em>t = the length of time the interest is applied. In this case, 1 year. </em>

In the special case the interest rate is compounded continuously, the interest is given by

I=Ce^{rt}-C

(a)  Annually

I=C(1+\frac{0.186}{1})-C=C(1.186)-C=C(1.186-1)=C(0.186)

The effective annual rate is 18.6%

(b) Monthly

<em>There are 12 months in a year </em>

I=C(1+\frac{0.186}{12})^{12}-C=C(1.2027)-C=C(0.2027)

The effective annual rate is 20.27%

(c) Daily

<em>There are 365 days in a year </em>

I=C(1+\frac{0.186}{365})^{365}-C=C(1.2043)-C=C(0.2043)

The effective annual rate is 20.43%

(d)  Continuously

I=Ce^{0.186}-C=C(1.2044)-C=C(0.2044)

The effective annual rate is 20.44%

3 0
3 years ago
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