The numerator and denominator need parentheses for clarity.
Inverse variation is of the form y=k/x (direct variation is of the form y=kx)
We are given that x=2 when y=1 so using the inverse form y=k/x we can solve for the constant of variation...
1=k/2
k=2
so the equation is:
y=2/x now they want us to find y when x=-1 so
y=2/-1
y=-2
By using trigonometric relations, we will see that x = 9.97°.
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How to find the missing angle?</h3>
First, we need to find the bottom cathetus of the smaller triangle, we will use the relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus).
Where:
- θ = 26°
- Adjacent cathetus = k
- Opposite cathetus = 55ft.
Replacing that we get:
Tan(26°) = 50ft/k
Solving this for k, we get:
k = 55ft/tan(26°) = 112.8 ft
Now, we can see that the longer triangle adds 200ft to this cathetus, so now we will have:
- angle = x
- opposite cathetus = 55ft
- adjacent cathetus = 112.8ft + 200ft = 312.8ft.
Then we have:
Tan(x) = (55ft/312.8ft)
Using the inverse tangent function in both sides, we get:
x = Atan(55ft/312.8ft) = 9.97°
If you want to learn more about right triangles, you can read:
brainly.com/question/2217700
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The
shared variance is (coefficient of determination) is .36.
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