Answer:
Square base dimension = 15 inches
Maximum volume = 7200 inches^3
Step-by-step explanation:
V = x^2y ..... eq 1
Let the square base be x and the height y
Oversize formular is given by
Y + 4x = 92
Y= 92 - 4x .....eq 2
Put eq 2 into eq 1
V = x^2 ( 92 - 4x^3)
V= 92x^2 - 4x^3
Using derivatives
V= 184x - 12x^2
V'= 0 = 184x - 12x^2
X(184 -12x)
X=0
X = 184/12 = 15.33 approximately 15 inches
Maximum Volume = V= 92(15)^2 -5(15)^3
V= 92(225) - 4(3475)
V= 20700 - 13500
V= 7200 inches^3
It would be the f(x+3) + 2
Answer:
=76
Step-by-step explanation:
24+(−9)(−4)+33−17
=24+36+33−17
=60+33−17
=93−17
=76
Answer:
300 square inches
Step-by-step explanation:
Area of a Trapezoid = 1/2 (b1 + b2 ) × h
h = height 20 inches
b1 = First base = ?
b2 = Second base = ?
From the Question
b1 + b2 = 30 Inches
Hence,
Area of the Trapezoid = 1/2 (30) × 20
= 1/2 × 30 inches × 20 inches
= 300 square inches
The Area of the Trapezoid = 300 Square inches
