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antiseptic1488 [7]
3 years ago
8

The perimeter of a regular octoagon is 22 2/3 inches what is the length of each side

Mathematics
1 answer:
Mariana [72]3 years ago
6 0
The answer is approximately 2.8, hope this helps.
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A rectangular box is designed to have a square base and an open top. The volume is to be 500in.3 What is the minimum surface are
mr_godi [17]

The minimum surface area that such a box can have is 380 square

<h3>How to determine the minimum surface area such a box can have?</h3>

Represent the base length with x and the bwith h.

So, the volume is

V = x^2h

This gives

x^2h = 500

Make h the subject

h = 500/x^2

The surface area is

S = 2(x^2 + 2xh)

Expand

S = 2x^2 + 4xh

Substitute h = 500/x^2

S = 2x^2 + 4x * 500/x^2

Evaluate

S = 2x^2 + 2000/x

Differentiate

S' = 4x - 2000/x^2

Set the equation to 0

4x - 2000/x^2 = 0

Multiply through by x^2

4x^3 - 2000 = 0

This gives

4x^3= 2000

Divide by 4

x^3 = 500

Take the cube root

x = 7.94

Substitute x = 7.94 in S = 2x^2 + 2000/x

S = 2 * 7.94^2 + 2000/7.94

Evaluate

S = 380

Hence, the minimum surface area that such a box can have is 380 square

Read more about surface area at

brainly.com/question/76387

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5 0
2 years ago
PLEASE HELP IM TIMED!!!!!!!!
horrorfan [7]

Answer:

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Step-by-step explanation:

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Professor Livingstone loves to perform acts of kindness. He decides to conduct an experiment in which he performs an act of kind
lana66690 [7]

Answer:

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Step-by-step explanation:

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2 years ago
a merchant is selling wind chimes from a booth at a flea market. he rents his space for $125 per day. the profit from each wind
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Rents his place for $125 per day and his goal has to be in 5 days. Lets use 125 times 5 days then each chime sold is $12 and we need the number of chimes sold so we use "x" as our variable. Equation 125(5) + 12x = 3500. Hope this helps.
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3 years ago
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