Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)
Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches
Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
Answer:
The annual federal tax deduction is $2705.04 .
Step-by-step explanation:
As given deduction in a week
Federal Tax $52.02
As there are 52 weeks in a week.
Thus
Annual Federal Tax deduction = Total number of weeks in a year × Federal Tax deduction in week
= 52 × 52.02
= $ 2705.04
Therefore the annual federal tax deduction is $2705.04 .
Answer:
Reflection over the x-axis
Step-by-step explanation:
To get from Triangle A to Triangle B, Triangle A must be reflected over the x-axis. On Triangle A, the left-most point is at (1, -2). The corresponding point on Triangle B is at (1, 2). The rule for reflecting over the x-axis is (x, y) -> (x, -y). So, (1, -2) -> (1, 2).
I hope this helps :))
Answer:
x+ 51+41=180°
X= 180-92
x= 88
Thus this is your answer.
Answer:
363
Step-by-step explanation:
125 +
238
____
3
1
125 +
238
____
63
125 +
238
____
363
