= root 45 - 3 root 20 + 4 root 5
= root 9 * root 5 - 3 * root 4 * root 5 + 4 root 5
=3 root 5 - 3 * 2 * root 5 + 4 root 5
= root 5 ( 3 - 6 + 4 )
= root 5 *1
= root 5
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>
Answer:
D. 93
Step-by-step explanation:
Given:
m<1 = 28°
m<6 = 65°
m<5 = 65°
Required:
m<MAX
Solution:
m<MAX = m<1 + m<5 (angle addition postulate)
Substitute
m<MAX = 28° + 65°
m<MAX = 93°
Answer:
B. 26
Step-by-step explanation:
