Answer:
Step-by-step explanation:
3 sinθ=3 cos 2θ
sin θ=cos 2θ
sinθ=1-2sin² θ
2sin²θ+sin θ-1=0
2sin²θ+2sinθ-sinθ-1=0
2sin θ(sin θ+1)-1(sin θ+1)=0
(sin θ+1)(2 sin θ-1)=0
sin θ=-1=-sin 90=sin (180+90)
θ=270
or sin θ=1/2=sin 30,sin (180-30)
θ=30,150
solution set is {30,150,270}
Answer:
20c= 30(c-9)
Step-by-step explanation:
The first step in solving a word problem is always to organize the information you have, and put it into equations to solve.
Let c be the cost per student originally.
The cost of the bus has not changed, so the cost/student * the number of students has not changed:
The answers are c and d
a straight line segment can be drawn between any two points
any straight line segment can be extended indefinitely
Answer:
-1/13
Step-by-step explanation:
5-x= 12x + 4
5-4=12x + x
1 = 13x
-1/13 = x
Answer:
The total number of ways to select 9 women and 4 men for the committee is 50,050.
Step-by-step explanation:
The club has 13 female members and 8 male members.
The committee to be formed must have 9 female members and 4 male members.
The possible number of ways to select 9 female from 13 females is:

The possible number of ways to select 4 male from 8 males is:

Compute the possible total number of ways to select 9 women and 4 men for the committee as follows:
Total number of ways to select 9 women and 4 men = n (F) × n (M)

Thus, the total number of ways to select 9 women and 4 men for the committee is 50,050.