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:
The area of the shape is 122.30 cm^2
Step-by-step explanation:
To calculate the surface area, we identify the side shapes
We have this as;
a rectangle that measures 11 cm by 3 cm, a rectangle that measures 3 cm by 6 cm, a rectangle that measures 8 cm by 3 cm, 2 triangles ( base and top) that has a height of 4.3 cm and a base of 11 cm
The area of the rectangles is simply the product of the side lengths
The area of the triangles is the product of the base and the height divided by 2; but since we have 2 exact triangles, we can simply multiply the base and the height to serve as the area of both
Thus, we have the area of the shape as follows;
(11 * 3) + (3 * 6) + (8 * 3) + (4.3 * 11)
= 33 + 18 * 24 + 47.3
= 122.30 cm^2
Answer
y = 6x
Explanation
To write a recursive or explict rue for this sequence, we need to firstly examine the given sequence.
If we let money spent = y and number of weeks = x
when x = 1, y = 6
when x = 2, y = 12
when x = 3, y = 18
when x = 4, y = 24
We can easily see that as x increases by units of 1, the y increases by corresponding units of 6.
A rule that will work for this is that
y = 6x
so that, when x = 1, y = 6(1) = 6 (as it is on that graph)
when x = 2, y = 6(2) = 12 (as it is on that graph again)
And so on.
Hope this Helps!!!
She is 78 because you have to find what 7 goes into and what number is one more than that number has to be a multiple of 6