Answer:
100 Cos 40° + 100 Sin 40° ≈ 141 yards
Step-by-step explanation:
From the diagram, side x is adjacent to the angle 40° while side y is the opposite to that same angle
This means that;
Cos 40° = x/100
x = 100 Cos 40°
Sin 40° = y/100
y = 100 Sin 40°
Therefore, total distance walked = x + y
" = 100 Cos 40° + 100 Sin 40° ≈ 141 yards
Answer:
Step-by-step explanation:
Joint variation has the equation
y = kxz
k is the constant of variation and needs to be solved for using the initial conditions, then filled in later to another equation related to the given info to solve for something else. We are given y = amount of oil used, x = distance traveled, z-squared is the speed. Our equation looks like this, to be exact:
![y=kxz^2](https://tex.z-dn.net/?f=y%3Dkxz%5E2)
Filling in with the initial conditions:
which gives us the
k = .0014166667
Now we need to find the amount of oil used, y, under other circumstances, but this time we have our k.
![y=(.0014166667)(32)(23)^2](https://tex.z-dn.net/?f=y%3D%28.0014166667%29%2832%29%2823%29%5E2)
which gives us that the amount of oil used, when rounded to the tenths,
y = 24.0 barrels