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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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3 years ago
A Special order for 1200 flowers is for roses and tulips
DaniilM [7]

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The ratio of roses to tulips is 2/5 in simplest form

7 0
3 years ago
Find qc if qi = 3x-13 and ic = 2x-12
Natali5045456 [20]
Hey there!

Notice in the image, <em>I</em> is in between Q and C and QC is made up of QI and IC.
Knowing this, you can conclude that QI+IC=QC

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4 0
3 years ago
A soccer field is 120 yards long. Han measures the length of the field using a 30-foot-long tape measure and gets a measurement
Nastasia [14]

Answer:

Error = 1.167 feet

Percentage error = 0.3242%

Step-by-step explanation:

The original length of the soccer field = 120 yards long

Converting to feet

1 yard = 3 feet

120 yards = x

Cross Multiply

x = 120 × 3 feet

x = 360 feet

Measured length:

Han measures the length of the field using a 30-foot-long tape measure and gets a measurement of 358 feet, 10 inches.

We convert 10 inches to feet

1 inch = 0.0833 feet

10 inches = x feet

Cross Multiply

x = 10 × 0.0833 feet

x = 0.833 feet

The measured length = 358 feet + 0.833 feet

= 358.833 feet

The Error is calculated as:

|Measured length - Original Length)

= 360 feet - 358.833 feet

= 1.167 feet

Percentage Error

= Error/Original Length × 100

= 1.167/360 × 100

= 0.3241666667%

Approximately = 0.3242%

8 0
3 years ago
Which expression is equivalent to 75x – 25x.<br>​
LenaWriter [7]

Answer:

C) 50x

D) x(75 - 25)

Explanation:

Use distribution to simplify:

x · 75 = 75x

x . 25 = 25x

75x - 25x

75x - 25x = 50x

7 0
3 years ago
Read 2 more answers
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