SA=2H(L+W)+LW for open box
20=2H(4+W)+4(W)
distribute
20=8H+2WH+4W
divide both sides by 2
10=4H+WH+2W
solve for 1 variable, pick W
10-4H=WH+2W
10-4H=W(H+2)
(10-4H)/(H+2)=W
V=LWH
subsitute 4 for V, subsitute H for H and (10-4H)/(H+2) for W
V=(4)(H)(10-4H)/(H+2)
V=(40H-16H²)/(H+2)
find max value
take deritivitive of this thing
V'=-16(H²+4H-5)/((H+2)²)
using sign chart
sign changes from positive to negative at H=1
so at H=1
find W
W=(10-4H)/(H+2)
W=2
the dimeionts are
length=4ft
width=2ft
height=1ft
(the volume is 8 cubic feet)
Answer:
120 degrees = H
Step-by-step explanation:
Two angles whose sum is equal to 180 degrees are called supplementary angles. do 180-60 to get 120
hope it helps! :)
Point-slope formula;
y - y1 = m(x - x1) given point(-1, 4) and slope(m) is 4.
y - 4 = 4(x - (-1)
y - 4 = 4x + 4
y = 4x + 4 + 4
y = 4x + 8 << the equation.
hope this helped, God bless!
Answer:
<4=146
<5=34
<6=146
<7=34
Step-by-step explanation: If angle GEF is 34 degrees the angle measures for 4,5,6, and 7 would be #4 = 146 #5 = 34 #6 = 146 and #7 = 34