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
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However, we can use the first equation to substitute for x in the second equation. This gives ...
This can be simplified using the half-angle identity and recast as a function of Q:
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°
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The corresponding value of x is about 318.333447755. In short, this is a very narrow sector/segment in a relatively large circle.
First put it into slope intercept form. which is y=mx+b, in other words solve for y and get y by itself.
4x + 5y = -3
5y = -4x -3
y = -4/5x -3/5
The slope of any line in slope intercept form is the m, or the coefficient to x.
In this line the slope will be -4/5.
Now we find the slope of a line parallel to this line. Parallel lines have the same slope,
So the slope of a line parallel to 4x +5y = -3 is -4/5
The correct answer is that it will be generated correctly because of the commutative property
Step-by-step explanation:
The equation is y = -x - 4.
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