The slope of these points is 4/3
SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
Answer:
31.25×
Step-by-step explanation:
suppose that the value of x was 3 . that would mean that they bought 3 calculators .
if one calculator is $31.25 then 3 would be $31.25× 3
the same rule would apply for x
For this case we must find the perimeter of the fence, in a circular way, knowing that the perimeter of a circle is given by:
Where "r" represents the radius of the circle, in this case 
Substituting in the perimeter equation we have:
Rationalizing we have:
Taking out common factor 
:
Answer:
Option C
