<em>θ</em> is given to be in the fourth quadrant (270° < <em>θ</em> < 360°) for which sin(<em>θ</em>) < 0 and cos(<em>θ</em>) > 0. This means
cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1 ==> sin(<em>θ</em>) = -√[1 - cos²(<em>θ</em>)] = -3/5
Now recall the double angle identity for sine:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
==> sin(2<em>θ</em>) = 2 (-3/5) (4/5) = -24/25
Answer:
(–ꝏ, –4] U [1, 2] or D
Step-by-step explanation:
Answer for edgenuity
Answer:
3.10h + 2.30b ≥ 100
Step-by-step explanation:
Tammy earns $3.10 for each hour,
Let h represents hour,
So total earning for h number of hours will be 3.10h
Tammy earns $2.30 for each bushel of apples
Let b represents bushel of apples,
So total earning for b number of bushels will be 2.30b
Tammy's goal is to earn at least $100 this week
Therefore, to reach her goal the inequality will be
3.10h + 2.30b ≥ 100
Where h is the number of hour and b is the number of bushels.
Answer:
37.67%
Step-by-step explanation:
Suppose initially a price of $ 100
Increasing per month at a rate of 2.7%. Which is equal to 0.027
Now applying the formula:
Vf = Vi * (1 + m) ^ n
where Vf is the final quantity, Vi is the initial value, m is the rate and n is the number of months.
We know that 1 year, is 12 months, since the rate is monthly means, n = 12, we replace:
Vf = 100 * (1 + 0.027) ^ 12
Vf = 137.67
It means price increase in 1 year = 137.67 - 100 = 37.67
Which means that n a year increases to 37.67%
