Answer:
Maximum area possible
f(max) = 3906,25 ft²
Dimensions:
a = 62,5 ft
w = 62,5 ft
Step-by-step explanation:
Perimeter of the rectangular fencing P = 250 feet
And sides of the rectangle a and w (width of rectangle)
Then
A = a*w
2a + 2w = 250 ⇒ a = (250 -2w)/ 2 ⇒ a = 125 - w
f(w) = (125 - w ) *w f(w) = 125w - w²
Taking derivatives both sides of the equation
f´(w) = 125 - 2w f´(w) = 0 125 - 2w = 0
w = 125/2
w = 62,5 ft ⇒ a = 125 - 62,5
a = 62,5 ft
f(max) = ( 62,5)²
f(max) = 3906,25 ft²
If Ana drove 6 miles in 2 hours, then she drove at a constant speed of 3 miles per hour.
d/t=s
9×11+12×11+(2×0.5×9×12)+11×15=
=99+132+108+165=504cm²
In this problem, the reference of the scale is referring to feet. Firstly, convert 72 inches to feet so that you can properly make the proportion.
72 inches = 6 feet
With the scale of 2 inches per 3 feet, we can set up an easy proportion to see how wide the door will be on the drawing.
3 feet 6 feet
——— = ————
2 inc. ‘x’ inc.
3x=12
X=4 inches
Solving the proportion by cross-multiplication reveals that the scale drawing of the patio door would be 4 inches wide.
Step-by-step explanation:
Use the distributive formula to solve for n:
-a(b + c) = -ab - ac
So, to solve this you would have to use the distributive property:
-1/3n - 5 = -2
Add 5 to both sides
-1/3n - 5 + 5 = -2 + 5
-1/3n = 3
Now, multiply -3 from both sides
-1/3 * -3 n = 3 * -3
Simplify
n = -9
Hope that helped!!
~A̷l̷i̷s̷h̷e̷a̷♡