Alrighty
squaer base so length=width, nice
v=lwh
but in this case, l=w, so replace l with w
V=w²h
and volume is 32000
32000=w²h
the amount of materials is the surface area
note that there is no top
so
SA=LW+2H(L+W)
L=W so
SA=W²+2H(2W)
SA=W²+4HW
alrighty
we gots
SA=W²+4HW and
32000=W²H
we want to minimize the square foottage
get rid of one of the variables
32000=W²H
solve for H
32000/W²=H
subsitute
SA=W²+4WH
SA=W²+4W(32000/W²)
SA=W²+128000/W
take derivitive to find the minimum
dSA/dW=2W-128000/W²
where does it equal 0?
0=2W-1280000/W²
128000/W²=2W
128000=2W³
64000=W³
40=W
so sub back
32000/W²=H
32000/(40)²=H
32000/(1600)=H
20=H
the box is 20cm height and the width and length are 40cm
Answer:
20
Step-by-step explanation:
Two tangent segments drawn to a circle from the same point outside the circle are congruent. The two tangents at A measure 2. The two tangents at B measure 5. The two tangents at C measure 3.
perimeter = 2 + 2 + 5 + 5 + 3 + 3
perimeter = 20
Answer:
what are you asking
Step-by-step explanation:
Answer:
Equation: 
Step-by-step explanation:
The equation that represents a direct variation between variable x and variable y is given as
. Where, k is the constant of proportionality.
Find the value of k given that x = ⅓ and y = 12.
Plug the values into the equation.


Multiply both sides by 3


Substitute the value of k into 

Equation: 
Answer:
6.007 to the nearest hundredth
= 6.001