Jimmy works part-time at Walmart earning $11 per hour. He is allowed to work anywhere between 0 to 30 hours per week. His only e
1 answer:
You might be interested in
Answer:
Step-by-step explanation:
Given that the Martian Colonies elect their government through a lottery. There are 100,000 people living on Mars
every year, a council of 99 co-equal leaders is randomly selected from the population.
Since these are members, order of selection of not important
So combinations woul dbe used here.
Total number of persons avaiiable = 100,000
No of persons to be selected = 999
No of ways this can be done =
999 out of 100,000
=
We can draw a unit circle as:
The sine is the vertical leg (or vertical projection) of the triangle formed by the angle.
The cosine will be the horizontal leg (or horizontal projection) of this same triangle.
The hypotenuse of this triangle will be the radius if the unit circle (r = 1).
a) The sine will be increasing from θ = 0° until it reaches its maximum at 90°.
Then it will be decreasing for angles between 90° and 270°.
Between 270° and 0° it will be increasing again.
b) The cosine has a maximum value for an angle of 0°.
It will decrease until 180°.
Then it will be increasing from angles between 180° and 360°.
c) We can see in the unit circle that the sine is 0 when the angle is one the horizontal axis, like when θ = 0° or θ = 180°.
The cosine will be equal to 0 when the angle is vertical: θ = 90° and θ = 270°.
Answer:
a) Increasing: (0°, 90°) and (270°, 360°)
Decreasing: (90°, 270°)
b) Increasing: (180°, 360°)
Decreasing: (0°,180°).
c) Sin(θ) = 0 for θ = 0° and θ = 180°
Cos(θ) = 0 for θ = 90° and θ = 270°
