Graph theory is the idea and study of graphs within the field of math.
Answer: X is 0.4
Explanation: I typed 5/2 x a bunch of random numbers and decimals on a calculator until I tried 0.4 and when I typed 5/2 x 0.4 on the calculator it said 5/2 x 0.4 = 1.
Answer:
45.55 meters
Step-by-step explanation:
I'm guessing she recorded above her height, right?
To find the height of the dam, use the tangent ratio:

The height of the dam is the side opposite the given angle, and this will represent x. The adjacent side (the hypotenuse is NEVER considered the adjacent side) is the distance from Scarlett to the dam. The angle of elevation is the angle of 26°. Insert the values:

Solve for x. Multiply both sides by 90:

Insert equation into a calculator:

Now add Scarlett's height:

The dam is 45.55 meters tall.
<em>Finito</em> :D
Answer:
The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time
Step-by-step explanation:
we have

This is a vertical parabola open downward
The vertex represent a maximum
where
h is the height of the bird
t is the amount of time, in seconds, the bird had been in the air
For h=40 ft
substitute in the quadratic equation



The formula to solve a quadratic equation of the form
is equal to
in this problem we have

so
substitute in the formula
therefore
The bird will take 0.88 seconds to reach a height of 40 feet in the air for the first time