Sec θ = 3
1/cos θ = 3
cos θ = 1/3
csc (90 - θ) = 1/sin (90 - θ) = 1/cos θ = 1/(1/3) = 3
Therefore, csc (90 - θ) = 3.
Answer:
Step-by-step explanation:
4(2y -8) + y = 13
8y - 32 + y = 13
9y - 32 = 13
9y = 45
y = 5
x = 2(5) - 8
x = 10 - 8
x = 2
(2, 5)
-10 + a = 6a - 7a
Rearrange the left hand side
a - 10 = 6a - 7a
Simplify 6a - 7a
a - 10 = -a
Add a on both sides
2a - 10 = 0
Add 10 on both sides
2a = 10
Divide by 2 on both sides
a = 5
Answer:
After 6 rounds one team will win.
Step-by-step explanation:
This is an example of geometric progression,
Let p(n) represents the number of participants remaining after n rounds of play.
First term = 64

We have

Number of teams remaining after n rounds of play, p(n) = 2⁶⁻ⁿ
Here we need to find for what n p(n)=1

After 6 rounds one team will win.