3:5...added = 8
3/8(40 = 120/8 = 15 inches
5/8(40) = 200/8 = 25 inches
shorter piece is 15 inches
Answer: 81 cookies per tray
Step-by-step explanation:
567/7= 81
Answer:
need teachers help with this one
Step-by-step explanation:
Answer is 19
Step-by-step explanation:
Answer:
h = 1,743
Step-by-step explanation:
Volume of a box is
V(h) = ( A - 2h) * ( B - 2h)* h A = 7 B = 12
We have
V(h) = ( 7 - 2h) * ( 12 - 2h ) * h
V(h) = ( 84 - 14*h - 24*h + 4*h² ) * h
V(h) = ( 84 - 38*h + 4 *h² ) * h ⇒ V(h) = 84h - 38h² + 4h³
Taking derivatives both sides of the equation
V´(h) = 84 - 76h + 12x²
V´(h) = 0 84 - 76h + 12x² = 0 42 - 38h + 6x²
3x² - 19h + 24 = 0
Solving for h h1 = [ ( 19 + √(19)² - 288 ]/ 6 h1 = [ (19 + √73)/6]
h₁ = 4,59 we dismiss this value since 9,18 (4,59*2) > A
h₂ = [ 19 - √73)/6] h₂ = 1,743
h = 1.743 is h value to maximizes V
