The dimensions of the square base after cutting the corners will be (40-2x). The depth of the box will be x, so its volume is given by
V = x(40-2x)²
You can differentiate this to get
V' = 12x² -320x -1600
Setting this to zero and factoring gives
(3x-20)(x-20) = 0
The appropriate choice of solutions is
x = 20/3 = 6 2/3
The
dimensions of the box of maximum volume are
26 2/3 in square by 6 2/3 in deepThe
maximum volume is
(80/3 in)²(20/3 in) =
4740 20/27 in³
Step-by-step explanation:
The sum of two opposite interior angles equals an exterior angle
50+?=115
?=115-50=65°
Answer:
(1,155, 1.545).
Step-by-step explanation:
From Normal distribution tables the z score for 95% CI = 1.96.
Confidence Interval
= 1.35 +/- 1.96 * 0.63/√40
= 1.35 +/- 0.195
= (1,155, 1.545).
Answer: 
Step-by-step explanation:
<em>Area of trapezium = </em>
2X = 2 + 2 = 4 cm
2Z = 5 + 5 = 10 cm
Y = 5 cm

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|--------> 35 
<span>7w+5=3w-15
7w-3w=-15-5
4w=-20
w=-5</span>