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°
Answer:
-6 and 7
Step-by-step explanation:
- -6 × 7 = -42
- -6 + 7 = 1
I hope this helps!
15 hrs a week at 8.95 per hr = (15 * 8.95) = 134.25 gross pay
FICA (7.65%)....0.0765(134.25) = 10.27
fed.tax (9.3%)...0.093(134.25) = 12.49
state tax (5.8%)..0.058(134.25) = 7.79
total taxes : 10.27 + 12.49 + 7.79 = 30.55
savings account money = 30
134.25 - (30.55 + 30) =
134.25 - 60.55 = 73.70...its gonna be the last one because I did a little rounding up above
Answer:
Step-by-step explanation:
The coordinates of the vertex are (1.5, 1.75) and the axis of symmetry is at x = 1.5.
We can find the vertex by using the formula for finding x-coordinates. The formula for the x-coordinate of a vertex is below.
-b/2a
In this equation, a is the coefficient of the x^2 term (1) and b is the coefficient of the x term (-3). Then we can plug in to find the x term.
-(-3)/2(1)
3/2
1.5
Now that we have this term, we can plug it in for all values of x to find the y term.
x^2 - 3x + 4
1.5^2 - 3(1.5) + 4
2.25 - 4.5 + 4
1.75
Now we know that the vertex is at (1.5, 1.75). Now finding the axis of symmetry is easy because the axis of symmetry in any quadratic is simply x = [x-coordinate of vertex]. So in this case it would be x = 1.5.
