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>
We know that g(x) = \frac{3}{x^2+2x}
We have to find g^-1(x) or inverse of g(x)
Inverse of g(x) can be determined by equating g(x) to y, and determining the value of x in terms of y
g(x) = y = \frac{3}{x^2+2x}
⇒ y × (x² + 2x) = 3
⇒ yx² + 2xy = 3
⇒ yx² + 2yx - 3 = 0
Determining the roots of x using:
x =
OR x =
, where a is coefficient of x², b is coefficient of x, and c is the constant
⇒ x =
OR x = 
⇒ x =
OR x = 
Hence, g^-1(x) =
OR x = 
Answer:
no
Step-by-step explanation:
The sum of the angles of a triangle must add to 180 degrees
115+55+20 = 190
This is not equal to 180 so it is not a triangle.