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dimaraw [331]
3 years ago
9

Find Q, I'm not sure if it is possible however.

Mathematics
1 answer:
zmey [24]3 years ago
4 0

9514 1404 393

Answer:

  Q ≈ 0.0314148930589 radians ≈ 1.79994078613°

Step-by-step explanation:

There is no algebraic solution for the set of equations with mixed polynomial and trig functions:

  x·sin(Q/2) = 5

  1/2x^2(Q -sin(Q)) = π/12

__

However, we can use the first equation to substitute for x in the second equation. This gives ...

  \displaystyle \frac{1}{2}\left(\frac{5}{\sin{\frac{Q}{2}}}\right)^2(Q-\sin{Q})=\frac{\pi}{12}

This can be simplified using the half-angle identity and recast as a function of Q:

  \displaystyle f(Q)=\frac{25(Q-\sin{Q})}{1-\cos{Q}}-\frac{\pi}{12}

This function will have a zero at the desired value of Q. It can be solved iteratively. A graph shows an approximate value of Q is 0.314 (radians). The value can be refined by Newton's method iteration to give the angle to full calculator precision:

  Q ≈ 0.0314148930589 radians ≈ 1.79994078613°

__

The corresponding value of x is about 318.333447755. In short, this is a very narrow sector/segment in a relatively large circle.

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1. add negative fraction with positive fraction
jok3333 [9.3K]

Given parameters:

        1.        -\frac{7}{8}  + \frac{1}{4}  

 

         -\frac{7}{8}  + \frac{1}{4}; find the LCM = 8

 

             =    \frac{-7  +  2 }{8}        

             =     \frac{-5}{8}

   

       2.   -\frac{12}{5}  + 15.3  

            Make the fraction decimal;

             -\frac{12}{5}   = -2.4

            So;

                        -2.4 + 15.3  = 12.9  

8 0
3 years ago
25 points please help!
AnnZ [28]

Answer:

x= 10

Step-by-step explanation:

If line m is parallel to line n,

(8x +50)°= 130° (corr. ∠s, m//n)

8x +50= 130

Bring constants to one side:

8x= 130 -50

8x= 80

Divide both sides by 8:

x= 80 ÷8

x= 10

5 0
3 years ago
A finales de 2017, 3.766.000 españoles no tenian trabajo Si el numero
Zanzabum

Answer:

Total number of unemployment in 2018 = 3,276,420

Step-by-step explanation:

Given:

Total number of unemployment in 2017 = 3,766,000

Decreased in unemployment = 13%

Find:

Total number of unemployment in 2018

Computation:

Total number of unemployment in 2018 = Total number of unemployment in 2017 - Decreased in unemployment

Total number of unemployment in 2018 = 3,766,000 - 13%

Total number of unemployment in 2018 = 3,276,420

5 0
2 years ago
I need the answer to this question ASAP please help me out. Thank You.
White raven [17]

Answer:

71º

I would give an explanation, but it sound like you could use this answer sooner than later.


3 0
3 years ago
Can someone help me out with this please?
Step2247 [10]

Answer:

3781/9000

Step-by-step explanation:

0.42\overline{1}=42/100+0.00\overline{1}.

Recall that 0.\overline{1}=1/9.

So, we want 42/100+1/9*1/1000.

This simplifies to 21/50+1/9000.

We know that 21/50=(21*180)/(50*180)=3780/9000.

So, our expression is 3780/9000+1/9000=3781/9000, which can't be simplified more.

So, our answer is \boxed{3781/9000} and we're done!

8 0
2 years ago
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