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.
Answer:
every 2 years
Step-by-step explanation:
since it is t/2 for the exponent - thas the answer on khan
Answer:
3/4 or 0.75
Step-by-step explanation:
the image is 3 1/4 models so basically 3 times 1
Answer:
A=6 and B=4.5
Step-by-step explanation:
You are given table
![\begin{array}{cccccc}x&2&4&[A]&7&9\\y&1&2&3&3.5&[B]\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bcccccc%7Dx%262%264%26%5BA%5D%267%269%5C%5Cy%261%262%263%263.5%26%5BB%5D%5Cend%7Barray%7D)
If the paired values are in a proportional relationship, then
![\dfrac{2}{1}=\dfrac{4}{2}=\dfrac{[A]}{3}=\dfrac{7}{3.5}=\dfrac{9}{[B]}.](https://tex.z-dn.net/?f=%5Cdfrac%7B2%7D%7B1%7D%3D%5Cdfrac%7B4%7D%7B2%7D%3D%5Cdfrac%7B%5BA%5D%7D%7B3%7D%3D%5Cdfrac%7B7%7D%7B3.5%7D%3D%5Cdfrac%7B9%7D%7B%5BB%5D%7D.)
Note that

then
![\dfrac{[A]}{3}=2\Rightarrow [A]=6,\\ \\\dfrac{9}{[B]}=2\Rightarrow [B]=\dfrac{9}{2}=4.5.](https://tex.z-dn.net/?f=%5Cdfrac%7B%5BA%5D%7D%7B3%7D%3D2%5CRightarrow%20%5BA%5D%3D6%2C%5C%5C%20%5C%5C%5Cdfrac%7B9%7D%7B%5BB%5D%7D%3D2%5CRightarrow%20%5BB%5D%3D%5Cdfrac%7B9%7D%7B2%7D%3D4.5.)
A number raised to the second power has an exponent above it. To the second power means the number multiplied by itself once.
x^2 is equal to (x)(x)
Hope this helps :)