Mathematics
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OpenStudy (ayyookyndall):
Help Needed!
11 years ago
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OpenStudy (ayyookyndall):
It would be 24, correct?
11 years ago
jimthompson5910 (jim_thompson5910):
I think you meant to say \(\Large 24\pi\) right ?
11 years ago
OpenStudy (ayyookyndall):
Yes.
11 years ago
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...
11 years ago
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jimthompson5910 (jim_thompson5910):
wait..does it say how many sides there are?
11 years ago
OpenStudy (ayyookyndall):
No, thats the whole question. Wait, I messed up.. Its said regular pentagon... So it has 5 sides...
11 years ago
jimthompson5910 (jim_thompson5910):
ok so you use that formula I posted
S = 12
N = 5
11 years ago
OpenStudy (ayyookyndall):
Okay, Can you help me the equation?
Would it be?
A = 12^2 (15) / 4 tan (180/5)
11 years ago
jimthompson5910 (jim_thompson5910):
make sure you use parenthesis properly otherwise the calculator will interpret the input incorrectly
( 12^2*5 )/( 4*tan(180/5) )
11 years ago
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OpenStudy (ayyookyndall):
I dont know what to do for 4*tan
11 years ago
OpenStudy (ayyookyndall):
Im bad at cos, sin and tan
11 years ago
jimthompson5910 (jim_thompson5910):
what kind of calc do you have?
11 years ago
OpenStudy (ayyookyndall):
A computer calculator
11 years ago
jimthompson5910 (jim_thompson5910):
ok you are better off using something like wolfram alpha
11 years ago
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jimthompson5910 (jim_thompson5910):
type ( 12^2*5 )/( 4*tan(180/5) ) into wolfram alpha and make sure to switch over to degree mode
11 years ago
OpenStudy (ayyookyndall):
I got 180 cot(36)
11 years ago
jimthompson5910 (jim_thompson5910):
look at the decimal approximation
11 years ago
jimthompson5910 (jim_thompson5910):
make sure to switch over to degree mode
11 years ago
OpenStudy (ayyookyndall):
Which is 23.224395290309489542503415027121981162079179723667011
11 years ago
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jimthompson5910 (jim_thompson5910):
make sure to switch over to degree mode (click "degrees") up at the top
11 years ago
OpenStudy (ayyookyndall):
Would that be my answer? Because thats not one of my choices....
11 years ago
jimthompson5910 (jim_thompson5910):
11 years ago
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
11 years ago
jimthompson5910 (jim_thompson5910):
did you see my last attachment?
11 years ago
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OpenStudy (ayyookyndall):
Yes. Thats what I got.
11 years ago
jimthompson5910 (jim_thompson5910):
look at the decimal approximation portion
11 years ago
jimthompson5910 (jim_thompson5910):
after you click degrees
11 years ago
OpenStudy (ayyookyndall):
So the answer is C
11 years ago
OpenStudy (ayyookyndall):
Am I correct?
11 years ago
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jimthompson5910 (jim_thompson5910):
correct, the area is roughly 247.7 square inches
11 years ago
jimthompson5910 (jim_thompson5910):
what do you have so far
11 years ago
OpenStudy (ayyookyndall):
Nothing, I dont understand this question.
11 years ago
jimthompson5910 (jim_thompson5910):
what is the ratio of the sides?
11 years ago
OpenStudy (ayyookyndall):
What do you mean? How do I find that?
11 years ago
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jimthompson5910 (jim_thompson5910):
you divide the larger side by the smaller side
reduce the fraction as much as possible
11 years ago
OpenStudy (ayyookyndall):
Okay. so 7/5?
11 years ago
jimthompson5910 (jim_thompson5910):
no
11 years ago
OpenStudy (ayyookyndall):
Wait, sorry. I was looking at another problem. So 26 / 6?
11 years ago
OpenStudy (ayyookyndall):
26 / 6 = 4.333
11 years ago
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jimthompson5910 (jim_thompson5910):
26/6 reduces to what?
11 years ago
OpenStudy (ayyookyndall):
13 / 3
11 years ago
OpenStudy (ayyookyndall):
Whats the next step, partner... :P
11 years ago
jimthompson5910 (jim_thompson5910):
so that is the ratio of the two sides
and that's also the same as the ratio of the perimeters
11 years ago
OpenStudy (ayyookyndall):
But there's one more step right?
11 years ago
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jimthompson5910 (jim_thompson5910):
you mean to convert into decimal form or something?
11 years ago
OpenStudy (ayyookyndall):
Theres another step. In my answer choices there are 2 ratios
11 years ago
OpenStudy (ayyookyndall):
One of the ratio is on there, but theres another ratio by it...
11 years ago
jimthompson5910 (jim_thompson5910):
can you show me what you mean?
11 years ago
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
11 years ago
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OpenStudy (ayyookyndall):
We can cross out C and D so that leaves us with A and B
11 years ago
jimthompson5910 (jim_thompson5910):
I see
11 years ago
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
11 years ago
OpenStudy (ayyookyndall):
Its 60 cm^2, right?
11 years ago
jimthompson5910 (jim_thompson5910):
yep 60
11 years ago
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OpenStudy (ayyookyndall):
Thank you! You are the best! :)
11 years ago
jimthompson5910 (jim_thompson5910):
yw
11 years ago