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
dimaraw [331]
2 years ago
9

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

Mathematics
1 answer:
zmey [24]2 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.

You might be interested in
-2n + 9 + 2n = 9 ? I need help
juin [17]

Answer:0n=0

Step-by-step explanation:

-2n+9+2n=9

-9 -9

———————

-2n+2n=0

-2n -2

———————

0n=0

5 0
3 years ago
Read 2 more answers
What is the scale factor of ABC to DEF?
pochemuha

Answer:

A. 1

Step-by-step explanation:

<em>Scale Factor:</em>

<em>The scale factor is the number you multiply the length of a side of the first triangle to get the length of the corresponding side of the other triangle.</em>

Every side that measures 5 in triangle ABC has a corresponding side in triangle DEF that also measures 5. In this case 5 * 1 = 5, so the scale factor is 1.

Answer: A. 1

5 0
3 years ago
Read 2 more answers
Need this answer for this
Alexandra [31]

Answer:

the point (0,6) is the point that is 1/6 of the way

5 0
2 years ago
The diameter of the planet Mercury is 4.87×103 kilometers. The diameter of the planet Venus is 1.21×104kilometers. The diameter
kow [346]

Answer: Venus

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Those are 2 separate questions please help thank you.​
AysviL [449]

Answer:

the screen is really blurry and  its laying on its side for some reason

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • A farmer planted corn in a square field. one side of the field measure 32 yards. what is the area of the cornfield? show your wo
    13·1 answer
  • A marching band has 64 members. The band director wants to arrange the band members into square formation. How many band members
    9·1 answer
  • Simplify the expression:<br> -6x-4x-10+3
    6·1 answer
  • -4 = BLANK - 9 what is BLANK
    7·2 answers
  • 8n + 10 + 6 = -8 + 5n<br> N= Help ASAP
    13·1 answer
  • A plant grows at a constant rate. Lokesh records the height of the plant each
    12·1 answer
  • Can you solve 64x³=27
    8·1 answer
  • Choose 1 answer:<br> A. 6<br> B. 6squareroot3<br> C. 12<br> D. 18<br> E. 24
    15·1 answer
  • PLEASE HELP ME SOLVE FOR X
    6·1 answer
  • Ms. Shafner would like to tip her hairdresser 20%. If her haircut cost $38.00, how much should she give her as a tip? *
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!