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
Third option: Elsa lost four points on the last math quiz, and Marc lost seven points. How many total points did they lose?
Answer:
24 1/6 - 19 5/12=
24 1/6÷12- 19 5/12÷12
24 2/2- 19 5/1= 5 3/1
3÷1= 3
5÷3= 3 1/2
Step-by-step explanation:
Step 1: Do the lcd and the number in between what you do is multiply the number next to it.
Step 2: Then subtract the mixed numbers and you get your answer.
Step 3: Divide 3 by 1
Step 4: Divide 3 by 5 and answer is 3 1/2
Answer:
X is < 8
Step-by-step explanation:
if y is >0 , then obviously X has to be smaller than 8 otherwise X+y won't be equal to 8
Strip diagram is a tool that is used to be able to solve the given problem accurately.
I will show you how to do it.
we have 136 ounces that needs to be convert to cups
1 ounce = 0.125 cup
In 1 cup = 8 ounce
136 ounces / 8 cups = 17 cups
