1 year ago

Multiple Choice Worth 5 points)

Mathematics

2 answers:

Snezhnost [94]1 year ago

4 0

Answer:

110 is the correct answer...

Oxana [17]1 year ago

4 0

The answer is 110 so it would be B

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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

2 years ago

Will mark brainliest for correct answer, due soon!

Rus_ich [418]

circumference = pi*d

70cm*pi = 219.8cm

219.8cm × 240 rev = 52752 cm

52752cm/100 = 528m

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3 years ago

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Answer:

Fre sha vaca do

Step-by-step explanation:

fresh avocado.

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A students work to solve 2 6/7 / 2/7 is shown below.

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A) the only mistake is changing the mixed number to an improper fraction .

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2 years ago

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In ΔKLM, m = 5.9 cm, k = 7.1 cm and ∠L=72°. Find the length of l, to the nearest 10th of a centimeter.

Elena L [17]

Answer:

7.7

Step-by-step explanation:

a ^2+b^2=c^2−2bccosA

l^2 = 5.9^2+7.1^2-2(5.9)(7.1)cos 72

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2 years ago