Answer:
Volume of smaller cone =301.44
Step-by-step explanation:
First let angle of cone be
.
then 
= 3/5 (For bigger triangle)
Same cone angle is for smaller one because they are similar.
= 4/5
Now for smaller cone radius be R
3/5 =R/Slant height
Slant height =5/3R
Lateral surface area =
[R = slant height]
Given lateral surface area =60
=
...................................1
................................................2
Put angle beta in equation 1 and find the value of R
R =6 cm
Height =
Thus volume =
=301.44
Im not sure about the second one, but for the first one, Alex’s height is 167.64 cm. :)
Answer:
B
Step-by-step explanation:
Rewriting in slope-intercept form.
x - 2y = 0
Add -x on both sides.
- 2y = 0 - x
Divide both sides by -2.
y = 0/-2 - x/-2
y = 0 - - 1/2x
y = 0 + 1/2x
y = 1/2x + 0
The slope is 1/2, the y-intercept is at (0, 0).
Answer:
1/10 or 10%
Step-by-step explanation:
1/4 x 2/5 = 1/10 (10%)
The prisoners could do a pattern that could signal who has already been in the room. So for example, one light off, both lights off, one light on, both lights off. But with left and right lights to make the sequence last as long as possible. Then after that sequence to have the last one be the signal that everyone has been in there. I dunno this is tricky lol
