Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
Center of circle is ( 1, 0).
Slope of normal passing though ( 1, 0 ) and ( 2, -5 ) is :

So, slope of tangent will be :

Equation of tangent :

Hence, this is the required solution.
Answer:
it could be 20 30 and 25
Step-by-step explanation:
Its either 14 or 40 i think
Answer:
on a number line or using a protractor to get 63 degrees u have to find wee the standard points are. like 90, 180, 260, 380 degrees. then use those to get closer.
Step-by-step explanation: