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2 years ago

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Middle school math problem.....

1 answer:

Lynna [10]2 years ago

4 0

Answer:

hi bro how are yuo join this meeting i will say you ans

Step-by-step explanation:

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

5 0

1 year ago

Johns goal is to have more then -7 dollars in his bank account by the end of the month.

Fudgin [204]

Answer:

Step-by-step explanation:

vhv

5 0

2 years ago

Read 2 more answers

Solve for n.<br><br> 6 + 2n = 10<br><br> n =

melisa1 [442]

Step-by-step explanation:

<h2>Answer:-</h2>

$\tt{6+2n = 10}$

$\tt{2n = 10-6}$

$\tt{2n = 4}$

$\tt{n = \dfrac{4}{2}}$

$\boxed{\tt{n=2}}$

Hope it helps :)

8 0

2 years ago

What is the slope between the points (3, 5) and (-2, -4)

Tamiku [17]

The slope is 9/5! hope this helps!!

6 0

2 years ago

What is the slope of the line through the points (-2, -1) and (4, 3)?

Natalka [10]

Answer:

#2 option: $\frac{2}{3}$

Step-by-step explanation:

$slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}$

$\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}$

= $\frac{2}{3}$

8 0

1 year ago