1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Bond [772]
2 years ago
11

Find the value for the side marked below.

Mathematics
1 answer:
olga55 [171]2 years ago
6 0

Answer:

Solution given:

angle : 80°

hypotenuse:y=?

opposite=21

we have

Sin 80=\frac{opposite} {hypotenuse}=\frac{21}{y}

doing crisscrossed multiplication

we get

y=\frac{21}{Sin 80°}

<u>y=21.32</u>

You might be interested in
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
132 beads is split into 96 beads and 36 beads. in simplest form , what is the ratio of the split​
mars1129 [50]

Answer:

16:6

Step-by-step explanation:

96:36

Highest common factor is 6

divide both sides by 6

16:6

3 0
3 years ago
When and how do you use logarithms to solve exponential equations? give an example of an exponential equation that does not requ
tatuchka [14]
\bf 5^{x+3}=\cfrac{1}{125}\implies 5^{x+3}=\cfrac{1}{5^3}\implies 5^{x+3}=5^{-3}&#10;\\\\\\&#10;\textit{because the bases are the same, the exponents must also be the same}&#10;\\\\\\&#10;x+3=-3\implies \boxed{x=-6}\\\\&#10;-------------------------------\\\\&#10;3^x=4^{2x}\implies log(3^x)=log(4^{2x})\implies xlog(3)=(2x)log(4)&#10;\\\\\\&#10;\cfrac{x}{2x}=\cfrac{log(4)}{log(3)}\implies \cfrac{1}{x}=\cfrac{log(4)}{log(3)}\implies \cfrac{log(3)}{log(4)}=x\implies \boxed{0.79248125\approx x}
6 0
3 years ago
I need help with this answer
Llana [10]

Answer:

Im not sure but lets play warzone

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The mathematical 9 € t means
Kamila [148]
It means <span>9 is not an element of T. hope it helped</span>
8 0
3 years ago
Other questions:
  • Cancel multiply 7/22×11/14
    8·2 answers
  • What is the volume of the triangular prism? Round to the nearest tenth.
    5·1 answer
  • I forgot how to do this stuff-
    12·1 answer
  • Write the absolute value equation if it has the following solutions. Hint: Your equation should be written as x−b =c. (Here b an
    9·2 answers
  • How many solutions does
    12·1 answer
  • I will give brainliest if right!!!!!!!!!!!<br><br><br>I am pretty sure its the first one
    14·1 answer
  • Determine the slope of the line that passes through the points:
    14·1 answer
  • (50 points really need help on this it's the last question)
    12·2 answers
  • Which instruments belong to the brass family?
    13·2 answers
  • There are 126 students.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!