Answer:
The dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm
Step-by-step explanation:
Volume of the cardboard = 16,384 
The function that represents the area of the cardboard without a lid is given by
------ (1)
Volume of the cardboard with sides x, y & z is


Put this value of z in equation (1) we get


Differentiate above equation with respect to x & y we get


Take 

------ (2)
------- (3)
By solving equation (2) & (3) we get

x = 31 cm
From equation 2

y = 32768 (
)
y = 34 cm


Z = 15.54 cm
Thus the dimensions that minimize the amount of cardboard used is
x = 31 cm , y = 34 cm & Z = 15.54 cm
Answer:
the correct anser is 0.0000563
Step-by-step explanation:
you move the decimal point to the left 5 spaces because it is negative
Answer: 17.7
Step-by-step explanation:
69/ 3.9%•100= 17.69= 17.7
Step-by-step explanation:
to be honest I'm not sure how to do
Comment
Answer:
The correct explaination is Point G can be the centroid because 12:6 equals 2:1
Step-by-step explanation:
Given in triangle ABC, the segments drawn from vertices intersect at point G.
Segment FG measures 6 cm and and segment FC measures 18 cm.
FG = 6 cm & FC = 18 cm
and also FC = FG + GC
18 = 6 + GC ⇒ GC = 12
Note: The centroid divides each median in a ratio of 2:1
& 12:6 give rise to 2:1
Hence, the correct explaination for this is Point G can be the centroid because 12:6 equals 2:1