Find Q, I'm not sure if it is possible however.
1 answer:
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.
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Answer:
Both lines are equal (they are the same)
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Step-by-step explanation:
Given
Required
What is true about graph of both lines
<em>Questions like this are better solved when there's option(s) to select from. However, some of the properties of line equation that I'll consider are to check if both lines are either parallel or perpendicular</em>
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To do this,
The first thing to do is to calculate the slope of both lines
Add 8 to both sides
Divide both sided by 3
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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Divide both sides by 6
Simplify fractions to lowest term
The slope of the line is the coefficient of x;
Solve for the y intercept; <em>Let x = 0</em>
Solve for the x intercept; <em>Let y = 0</em>
Subtract from both sides
Subtract both sides by
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By comparing the slope, x intercept and y intercept of both lines;
It'll be observed that they have the same slope, x intercept and y intercept
<em>This implies that both lines are equal; in other words, they are the same.</em>