When the surrounding flaps are folded up, the base of the box will have dimensions
by
, and the box will have a height of
. So the box has volume, as a function of
,

I don't know what technology is available to you, but we can determine an exact value for
that maximizes the volume by using calculus.
Differentiating
with respect to
gives

and setting this equal to 0 gives two critical points at

For the larger critical point we would get a negative volume, so we ignore that one. Then the largest volume would be about 168.5 cubic in.
Answer:
n2
Step-by-step explanation:i did this last year
Answer: 760 feet
Step-by-step explanation:
So, 220 feet is 1/3 of the mountain.
Now, multiply 220 x 3 = 660.
The top of the mountain is 660 feet.
The bottom of the lake is -100 feet.
Now just simply add 100 + 660 = 760
So, the total elevation change is 760 feet.
In a parallelogram, opposite angles are congruent. However, the same thing cannot be said for the other.
You can label one pair of opposite angles with x and the other 9x.
You also know that each quadrilateral has interior angles that add up to 360 so you can create the equation of
9x+9x+x+x=360
which can be simplified into
20x=360
x=18
Now, you know the angle measures of one pair of opposite angles. to find the other you plug in 18 to our other equation and multiply 9 to get 162.
The angles of the parallelogram is 18,18, 162 and 162.
Note: you can check if this is right if all the angles add up to 360.
-144 is undefined I just did this like a min ago lol but hope this works out for you if so leave a like and see if you have other questions thanks for using Brainly