Answer:
The lens is 6 inches from the mirror
Step-by-step explanation:
We need to find the distance of the lens from the mirror, if the camera is pointed toward the vertex of the hyperbolic mirror and is positioned such that the lens is at the nearest focus to that vertex.
Given:
where a² = 16 and b² = 9
Then c² = a² + b²
c² = 16+9
c² = 25
c= √25 = 5
The hyperbola is centered at (0,0)
The vertex is at (0,a) = (0,4)
The foci is at (0,c) = (0,5)
The distance from vertex to focus is
d= c-a = 5-4 = 1 inches
Total distance from lens to mirror is sum of distance d and foci c:
5+1= 6 inches
There are ways to select 3 from 9.
There are ways to select 3 men from 5 men and
ways to select 3 women from 4 women.
If all three selected are men, then no woman was selected, and we have
ways we can do that.
1)
2) If all 3 are women then no man was selected, and we have
ways we can do that.
3) If 2 men and 1 woman were selected, the we have ways we can do that.
4) If 2 women and 1 man is selected, then we have