Answer:
0.45
Step-by-step explanation:
The cosine of an angle is the x-coordinate of the point where its terminal ray intersects the unit circle. So, we can draw a line at x=-1/2 and see where it intersects the unit circle. That will tell us possible values of θ/2.
We find that vertical line intersects the unit circle at points where the rays make an angle of ±120° with the positive x-axis. If you consider only positive angles, these angles are 120° = 2π/3 radians, or 240° = 4π/3 radians. Since these are values of θ/2, the corresponding values of θ are double these values.
a) The cosine values repeat every 2π, so the general form of the smallest angle will be
... θ = 2(2π/3 + 2kπ) = 4π/3 + 4kπ
b) Similarly, the values repeat for the larger angle every 2π, so the general form of that is
... θ = 2(4π/3 + 2kπ) = 8π/3 + 4kπ
c) Using these expressions with k=0, 1, 2, we get
... θ = {4π/3, 8π/3, 16π/3, 20π/3, 28π/3, 32π/3}
C=65
If its wrong I’m really sorry:(
9514 1404 393
Answer:
24.6%
Step-by-step explanation:
The cost of the ticket in euros is ...
£222 × €1.38/(£1) = €306.36
Then the ratio of the tax to the to the total cost is ...
€100/(€306.36 +100) = 100/406.36 ≈ 24.6%
Answer:
= 4 
Step-by-step explanation:
There is a common ratio r between consecutive terms , that is
r = - 20 ÷ 4 = 100 ÷ - 20 = - 5
This indicates the sequence is geometric with nth term ( explicit formula )
= a₁ 
where a₁ is the first term and r the common ratio
Here a₁ = 4 and r = - 5 , then
= 4 