Answer:
∅ ≈ 56.31°
Step-by-step explanation:
The bird is spotted flying 6000 ft from a tower . The distance of the tower from the bird is 6000 ft. The height of the tower is 9000 ft because the observer spot the distance from the top of the tower at a distance of 9000 ft.
The illustration forms a right angle triangle. The adjacent side of the triangle is 6000 ft and the height or opposite side of the triangle is 9000 ft. Using tangential ratio the angle of depression from the bird to the observer can be found as follows.
Let
∅ = angle of depression
tan ∅ = opposite/adjacent
tan ∅ = 9000/6000
tan ∅ = 1.5
∅ = tan⁻¹ 1.5
∅ = 56.309932474
∅ ≈ 56.31°
C.
because a, b, and d aren't porportional
but c x is divided by 2
2a - 1 < 6a + 7
bring all the a 's on one side and all the whole numbers on the other side.
2a - 6a < 7 + 1
-4a < 8
multiply everything by -1
4a > -8
a > -8/4
a > -2.
Hope you will understand.
Answer:
P(x) = 0.50x - 5
Step-by-step explanation:
x = number of glasses sold
She charges $0.50 per glass, so her revenue is
R(x) = 0.50x
which is the amount of money she brings in
Her cost function is
C(x) = 5
assuming she only spends that $5.00 on the supplies mentioned.
The profit P(x) is the difference of revenue and cost
Profit = Revenue - Cost
P(x) = R(x) - C(x)
P(x) = 0.50x - 5