Answer: 300x200
Step-by-step explanation: First of all...Your perimeter equals 2x+3y. X=length, y=width.
2x+3y=1200
3y=1200-2x
y=400-(2/3)x
y=400-(2/3)x
Your Area = xy=x(400-2x/3)=400x-2^2/3
dA/dx=400-4x/3=0
4x/3=400
4x=1200
x=300ft length
y=400-(2/3)(300)=200ft
I hope this helps you!
We can see that for every 1 hour he increases 10 miles in his distance, so we can say it's constant, he started at 0 and increased 10 miles per hour.
Alternative C.
Answer:
is 63.65
Step-by-step explanation:
but whit the tax i think is 64
Answer: 15.44 m
Step-by-step explanation:
We can think this as two triangle rectangles.
In both cases, the adjacent cathetus is 120m.
When the angle is 32°, the opposite cathetus will be the height of the cliff.
When the angle is 37°, the opposite cathetus will be the heigth of the cliff plus the height of the flagpole.
Then we need to compute both of them and calculate the difference.
We can use the trigonometric relation:
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
in this case we have:
Tan(32°) = (height of the cliff)/(120m)
Tan(32°)*120m = height of the cliff = 74.98m
Now we can use the other angle to compute:
Tan(37°) = (heigth of the cliff + heigth of the flagpole)/120m
Tan(37°)*120m = heigth of the cliff + heigth of the flagpole = 90.42m
Then the height of the flagpole will be:
H = 90.42m - 74.98m = 15.44 m
