The angle of elevation from the hiker to the park ranger is the same as the angle of depression from the ranger to the hiker, 29°.
The tangent function of an angle is the ratio of the opposite side (500') to the adjacent side (x) in the right triangle shown. That is
tan(29°) = 500' / x
Multiplying the equation by x/tan(29°) gives
x = 500' / tan(29°)
x ≈ 500' / 0.5543
x ≈ 902 ft
Answer:
I am not certain if its right
Step-by-step explanation:
Answer: 2/5
Step-by-step explanation:
Number of cans of red paint = 3
Number of cans of blue paint = 5
Number of cans of green paint = 8
Number of cans of yellow paint = 4
Total number of cans of paint = 20
The probability that Eduardo will
choose a can of red paint or a can of blue will be:
= P(red) + P(blue)
= 3/20 + 5/20
= 8/20
= 2/5
The probability is 2/5.
Let point (x, y) be any point on the graph, than the distance between (x, y) and the focus (3, 6) is sqrt((x - 3)^2 + (y - 6)^2) and the distance between (x, y) and the directrix, y = 4 is |y - 4|
Thus sqrt((x - 3)^2 + (y - 6)^2) = |y - 4|
(x - 3)^2 + (y - 6)^2 = (y - 4)^2
x^2 - 6x + 9 + y^2 - 12y + 36 = y^2 - 8y + 16
x^2 - 6x + 29 = -8y + 12y = 4y
(x - 3)^2 + 20 = 4y
y = 1/4(x - 3)^2 + 5
Required answer is f(x) = one fourth (x - 3)^2 + 5
Answer: y = x + 10
Explanation: substitute x by the numbers in the first column and add that by 10 which would be equal to the numbers in the second column (y) for example 1+10= 11
