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Mathematics 7 Online
OpenStudy (ayyookyndall):

Help Needed!

OpenStudy (ayyookyndall):

It would be 24, correct?

jimthompson5910 (jim_thompson5910):

I think you meant to say \(\Large 24\pi\) right ?

OpenStudy (ayyookyndall):

Yes.

OpenStudy (ayyookyndall):

Can you help me with 2 more? What is the area of a regular polygon with a side of 12 in.? Round to the nearest tenth. There is no picture. And thats what throws me off...

jimthompson5910 (jim_thompson5910):

check out this page http://www.mathopenref.com/polygonregulararea.html

jimthompson5910 (jim_thompson5910):

wait..does it say how many sides there are?

OpenStudy (ayyookyndall):

No, thats the whole question. Wait, I messed up.. Its said regular pentagon... So it has 5 sides...

jimthompson5910 (jim_thompson5910):

ok so you use that formula I posted S = 12 N = 5

OpenStudy (ayyookyndall):

Okay, Can you help me the equation? Would it be? A = 12^2 (15) / 4 tan (180/5)

jimthompson5910 (jim_thompson5910):

make sure you use parenthesis properly otherwise the calculator will interpret the input incorrectly ( 12^2*5 )/( 4*tan(180/5) )

OpenStudy (ayyookyndall):

I dont know what to do for 4*tan

OpenStudy (ayyookyndall):

Im bad at cos, sin and tan

jimthompson5910 (jim_thompson5910):

what kind of calc do you have?

OpenStudy (ayyookyndall):

A computer calculator

jimthompson5910 (jim_thompson5910):

ok you are better off using something like wolfram alpha

jimthompson5910 (jim_thompson5910):

type ( 12^2*5 )/( 4*tan(180/5) ) into wolfram alpha and make sure to switch over to degree mode

OpenStudy (ayyookyndall):

I got 180 cot(36)

jimthompson5910 (jim_thompson5910):

look at the decimal approximation

jimthompson5910 (jim_thompson5910):

make sure to switch over to degree mode

OpenStudy (ayyookyndall):

Which is 23.224395290309489542503415027121981162079179723667011

jimthompson5910 (jim_thompson5910):

make sure to switch over to degree mode (click "degrees") up at the top

OpenStudy (ayyookyndall):

Would that be my answer? Because thats not one of my choices....

jimthompson5910 (jim_thompson5910):

OpenStudy (ayyookyndall):

My answer choices: a. 495.5 in^2 b. 311.8 in^2 c. 247.7 in.^2 d. 124.7 in^2

jimthompson5910 (jim_thompson5910):

did you see my last attachment?

OpenStudy (ayyookyndall):

Yes. Thats what I got.

jimthompson5910 (jim_thompson5910):

look at the decimal approximation portion

jimthompson5910 (jim_thompson5910):

after you click degrees

OpenStudy (ayyookyndall):

So the answer is C

OpenStudy (ayyookyndall):

Am I correct?

jimthompson5910 (jim_thompson5910):

correct, the area is roughly 247.7 square inches

jimthompson5910 (jim_thompson5910):

what do you have so far

OpenStudy (ayyookyndall):

Nothing, I dont understand this question.

jimthompson5910 (jim_thompson5910):

what is the ratio of the sides?

OpenStudy (ayyookyndall):

What do you mean? How do I find that?

jimthompson5910 (jim_thompson5910):

you divide the larger side by the smaller side reduce the fraction as much as possible

OpenStudy (ayyookyndall):

Okay. so 7/5?

jimthompson5910 (jim_thompson5910):

no

OpenStudy (ayyookyndall):

Wait, sorry. I was looking at another problem. So 26 / 6?

OpenStudy (ayyookyndall):

26 / 6 = 4.333

jimthompson5910 (jim_thompson5910):

26/6 reduces to what?

OpenStudy (ayyookyndall):

13 / 3

OpenStudy (ayyookyndall):

Whats the next step, partner... :P

jimthompson5910 (jim_thompson5910):

so that is the ratio of the two sides and that's also the same as the ratio of the perimeters

OpenStudy (ayyookyndall):

But there's one more step right?

jimthompson5910 (jim_thompson5910):

you mean to convert into decimal form or something?

OpenStudy (ayyookyndall):

Theres another step. In my answer choices there are 2 ratios

OpenStudy (ayyookyndall):

One of the ratio is on there, but theres another ratio by it...

jimthompson5910 (jim_thompson5910):

can you show me what you mean?

OpenStudy (ayyookyndall):

a. 13/3 and 169/9 b. 13/3 and 16/9 c. 16/3 and 169/9 d. 16/3 and 16/9

OpenStudy (ayyookyndall):

We can cross out C and D so that leaves us with A and B

jimthompson5910 (jim_thompson5910):

I see

jimthompson5910 (jim_thompson5910):

So what we do is simply square 13/3 to get (13/3)^2 = (13^2)/(3^2) = 169/9 that is the ratio of the larger area to the smaller area

OpenStudy (ayyookyndall):

Its 60 cm^2, right?

jimthompson5910 (jim_thompson5910):

yep 60

OpenStudy (ayyookyndall):

Thank you! You are the best! :)

jimthompson5910 (jim_thompson5910):

yw

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