The radius of the sector of the circle with the given area is: B. 3.
<h3>What is the Area of a Sector?</h3>
Area of sector of a circle = ∅/360 × πr².
Given the following:
Area of sector = 9/8 π cm².
∅ = 45 degrees
Plug in the values into the formula
9/8π = 45/360 × πr²
1.125 = 0.125 × r²
1.125/0.125 = r²
9 = r²
r = 3 cm
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The midpoint of a line divides the line into equal segments.
The option that proves PQ = LO is (a)
The given parameters are:
P is the midpoint of LM.
So, we have:
Q is the midpoint of NO.
So, we have:
Distance PQ is calculated as follows:
This gives:
Distance LO is calculated as follows:
So, we have:
Thus:
Hence, the correct option is (a)
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3 / 15 = 1 / 5
5 / 20 = 1 / 4
so no, they are not. we know this because when you turn them into proportions and simplify them, the two rates are not equal
So the rise/run is -4/1 (since the line goes down 4 units when it hits a line directly, and wherever the line hits (in this case unit 1 on the x-axis)). This will be your m. Slope intercept form is y=mx+b, therefore your equation will be y==4/1x+b. to find b, you need to look at where the line hits the y-axis. It hits it at point 4. therefore your final answer will be y=-4/1x+4