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3 years ago

The sum of the measures of the interior angles in a polygon is 540 degrees. How many sides does the polygon have?

2 answers:

5 0

To find the answer you need to use the formula (n-2)180=sum with n being the number of sides of the polygon.
(n-2)180=540
180n-360=540
180n=900
n=5
so the polygon has 5 sides

kkurt [141]3 years ago

3 0

I need this answer too

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Find all the powers of 3 that are in the range 3 through 1000

Ksivusya [100]

So just use a calculator but here goes
3^1=3
3^2=9
3^3=27
3^4=81
3^5=243
3^6=729

and 3^7 is 2187 which is excluded

8 0

2 years ago

If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

$V = l^{2}\cdot h$ (2)

Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

$A_{s} = l^{2}+ \frac{V}{l}$

$A_{s}\cdot l = l^{3}+V$

$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

$l = 100\,cm$

Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

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2 years ago

A study is done by a community group in two neighboring colleges to determine which one graduate's students with more math class

ozzi

Answer:

thats a long question my friend

Step-by-step explanation:

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3 years ago

Paul has $20,000 to invest. His intent is to earn 10.5% interest on his investment. He can invest part of his money at 7% intere

Art [367]

X=7%
y=12%
x+y=20000
0.07x+0.12y=20000*0.19=3800

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2 years ago

Without computing, decide whether the value of each expression is much smaller than one, closer to one, or much greater than one

d1i1m1o1n [39]

Answer:

C: closer to one

D: much smaller than one

E: much greater than one

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Step-by-step explanation:

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