Answer: y=3x-12
Step-by-step explanation:
A function works like this:
You put any number you want into the input, and
the output depends on the number you put it.
That's why the output is the dependent variable.
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
FIRST PROBLEM AS GENIUS!!!
The 45-45-90 triangle theorem states that each leg equals x, and the hypotenuse equals
. Using this, we can find that the height is 10. Take the average of the lengths to get l = 27.
The area = 270.
