Answer:
Step-by-step explanation:
Volume = 
find partial derivatives using product rule
i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
9514 1404 393
Answer:
y = 12
Step-by-step explanation:
The angle bisector divides the sides of the triangle proportionally. This tells us ...
y/6 = 8/4
y = 6(2) . . . . . multiply by 6
y = 12
11. m=5 p=15
12. g=3 k=3
13. b=40
A. it is a hexagon (there are 6 sides) B. using the equation (n-2)180 (where n is the number of sides we get (6-2)180=4*180=720. divide 720 by 6 to get 120 for each angle of the hexagon. (it has no irregularities in it's shape so that number will be correct for them all.) C. to get that just divide 39 by 6 to get 6.5 in per side. Hope that helps:)
Answer:
1:3
Step-by-step explanation:
The required ratio will be ,
7:21
= 1 :3
