Answer:
1440 different arrangements are possible.
Step-by-step explanation:
Number of arrangements of n elements:
The number of arrangements of n elements is given by:
In this question:
6 couples, in which each can be positioned in 2 ways(him/her or her/him). So
1440 different arrangements are possible.
Answer:
Let the coordinate of focus be
As per the statement: The base of an auditorium is in the form of an eclipse 200 feet long and 100 feet wide.
⇒Length of Major axis=base of an auditorium = 200 feet and Length of a minor axis=wide of a auditorium = 100 ft
Semi-major axis (a) = 100 ft and
semi-minor axis(b) = 50 ft
Then, by an equation:
Solve for c:
Substitute the given values we have;
Simplify:
or
ft
Distance between the foci is,
Therefore, the distance between the foci to the nearest 10th of a foot is, 173.2 ft
