Answer:
When dimension of box is 33.33 inches × 33.33 inches ×8.33 then its volume is maximum and is 9259.26 cubic inches.
Step-by-step explanation:
Let h be the length (in inches) of the square corners that has been cut out from the cardboard and that would be the height of the cardboard box.
Since the squares have been cut from cardboard, both sides of the cardboard would reduce by 2h.
Thus, The dimension of box is (50 – 2h) × (50 – 2h) × h in dimensions.
The volume V of rectangular box = (Length × Breadth × Height) cubic inches.
..............(1)
Using 
For obtaining a box of maximum volume, maximize V as a function of h.
Differentiate both sides with respect to h,
Solving quadratic equation,
For maximum, 
thus,
⇒ 
or 
Now check (1) for and .
is not possible as when h is 25 inches then length and breadth becomes 0.
When .
(1) ⇒ 
This is the maximum volume the box can assume.
Thus, when dimension of box is 33.3 inches × 33.3 inches ×8.3 then its volume is maximum and is 9259.26 cubic inches.
Answer:
19/24
Step-by-step explanation:
From the question we are informed that Lisle bought 3/8 pounds of red grapes and 5/12 pound of green grapes
✓3/8 pounds of red grapes and 5//12
✓First thing to do is to add the fractions
But we need " the least common denominator" because their denominator are not the same, we need to make it the same...
✓ The two denominator ( 8 and 12) are both factor of 24, therefore their "least common denominator" is 24.
✓To make 3/8 pounds of red grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 3.
3/8 = (3×3)/(8×3)=9/24
✓To make 5/12 pounds of green grapes has a denominator of 24, we multiply both the denominator & numerator with factor of 2.
5/12= (5×2)/(12×2)= 10/24
✓ we can see they both have the same denominator, then we can now "add both denominators"
(9+10)=19
✓ Then place the addition of the denominators on the least common denominator.
= 19/24.
Therefore, he bought 19/24 of grapes
I’m not sure, but I think you divide 360 by each one of those angles.
I think it might be 12.92. just divide 193.75 by 15. you get <span>12.916... round the cost to the nearest cent and you get 12.92. yay!!</span>
