Remark
This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.
Step One
Set up the sine Law.
![\dfrac{Sin(x)}{12}=\dfrac{sin(75)}{22}](https://tex.z-dn.net/?f=%20%5Cdfrac%7BSin%28x%29%7D%7B12%7D%3D%5Cdfrac%7Bsin%2875%29%7D%7B22%7D)
Step Two
Substitute values
Sin(x) = ??
sin(75) = 0.9659
![\dfrac{Sin(x)}{12}=\dfrac{0.9659}{22}](https://tex.z-dn.net/?f=%20%5Cdfrac%7BSin%28x%29%7D%7B12%7D%3D%5Cdfrac%7B0.9659%7D%7B22%7D)
Step Three
Cross multiply and Solve
22* Sin(x) = 12 * 0.9659
22* Sin(x) = 11.591 divide by 22
sin(x) = 11.591 / 22
sin(x) = 0.5269
Step Four
You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.
x = sin^-1(0.5269)
2nd F
Sin^-1
(
0.5269
)
=
You should get 31.79 degrees.
Dollar : Lawns
140 : 10
14 : 1
The ratio is 14:1
Replace,
x = y
Or
x = f(x)
then us stay:
x = 5y + 12
Isolate 5y
5y = x - 12
Dividing both the sides by 5
y = x/5 - 12/5
Then, replace y = f^-(x)
f^-(x) = x/5 - 12/5
Hope this helps
Answer:
Amount if wood chips left = 366.16 pounds
Step-by-step explanation:
A dump truck is filled with 456.06 pounds of wood chips. This is the total amount of wood chips that the truck is carrying.
On getting to the playground, it drops off 89.9 pounds at the playground. This is a portion of the total amount of wood chips. The amount of wood chips left after dropping off 89.9 pounds at the playground is
Total amount of wood chips contained in the truck initially - the amount of wood chips dropped at the playground.
Number of pounds of wood chip left is
456.06 - 89.9 =366.16 pounds