4485 square feet of grass ... 3/4 of an hour
x square feet of grass = ? ... 1 hour
If you would like to know how many square feet of grass can be fertilized per hour, you can calculate this using the following steps:
4485 * 1 = 3/4 * x
4485 = 3/4 * x /*4/3
x = 4485 * 4 / 3
x = 5980 square feet
Result: 5980 square feet of grass can be fertilized in one hour.
Answer:
110°
Step-by-step explanation:
128°+40°+82°+x°= 360°
so 250°+x°=360°
x°=360°-250°
x°=110°
The Lagrangian,

has critical points where its partial derivatives vanish:





tells us
, so that


Then with
, we get

and
tells us

Then there are two critical points,
. The critical point with the negative
-coordinates gives the maximum value,
.
The angles are complementary meaning they =90 degrees.
So take (x-20) and x, and write this equation,
x-20+x=90
2x-20=90
move the 20 over
2x-20=90
+20 +20
2x=110
x=55.
You can check it by plugging it back in,
(55-20)=35
and
x=55
35+55=90.
Thus, you know your answer is correct.