9514 1404 393
Answer:
42.9 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
where Opposite in this case is the height of the tree, and Adjacent is the distance to the tree.
tan(47°) = height/(40 ft)
height = (40 ft)·tan(47°) . . . . . multiply both sides by (40 ft)
height ≈ 42.9 ft
The tree is about 42.9 feet tall.
Answer: 5
Explanation: I’m not sure but I’m using my common sense I think it’s right tho
Step-by-step explanation:

Hence, in 9 laps you will run 6 miles.
Answer:

Step-by-step explanation:
we know that
The function of the graph is a vertical parabola open upward
The vertex is a minimum
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
In this problem
Looking at the graph
The vertex is the point (0,-4)
substitute


To determine the value of "a" take a point in the graph
I take the point (3,5)
substitute the value of x and the value of y and solve for a

therefore
The equation of the quadratic function is
