Answer:
V = 255.98189 pi
SA = 172.64114π
Step-by-step explanation:
The first thing to do is find the radius.
the measure of angle AKO = 1/2 the measure of angle AKB
m< AKO = 12.5 degrees
Now use trig to find AO (aka the radius)
tan(12.5) = AO/25
AO = 25* tan(12.5)
<em>I'm leaving it like this to get a more accurate number</em>
Now to find the volume
the volume of a cone is pir^2h/3
plugging everything in we get:
pi(25*tan(12.5))^2 * 25/3
which is about <u>255.98189 pi</u>
Now for surface area
(this is the moment I realize symbols exist)
SA = πr(r+√h²+r²)
plugging everything in we have
π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)
<em>I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)</em>
The Surface Area is about <u>172.64114π</u>
Problem 1
Answer: Direct variation; k = 1/4
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Explanation:
We can rewrite the given equation y = x/4 into y = (1/4)x. Then note how it's in the form y = kx. In this case, k = 1/4. In decimal form, this is k = 0.25
All direct variation equations are in the form y = kx. The value of k is the constant of variation.
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Problem 2
Answer: Inverse variation; k = 9
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Explanation:
The equation 9/y = x rearranges to xy = 9.
We can then solve for y to get y = 9/x
This is in the form y = k/x, where k = 9
All inverse variation equations are in the form y = k/x, with k as the constant of variation.
Answer:
$60
Step-by-step explanation:
100 - 5 = 95%
95% = 57
divide both sides by 95 to find 1%
1% = 0.6
multiply both sides by 100 to find 100%
100% = 60
Answer:
a = 4
b = -11
Step-by-step explanation:
use the complete the square method:
we completed the square of x^2 + 8x + ... which is x^2 + 8x + 16 using (x+4)^2
we added 16 to both sides because whatever you do to one side, you have to do to the other: