Circle A has a diameter of 9 inches, a circumference of 28.26 inches, and an area of 63.585 square inches. The diameter of circle B is 5 inches, the circumference is 15.70 inches, and the area is 19.625 square inches..
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
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OpenStudy (princess_shadow_sob):
@Eboogie4 @Error1603
OpenStudy (princess_shadow_sob):
@suppa_lova
OpenStudy (eboogie4):
@-SpencerBraz-
@Qwertty123
OpenStudy (anonymous):
ok so what are the formulas that you need to use
please write them out bc it has been a while
OpenStudy (error1603):
1st wat u want to do is Divide 28.26 with 9 and u will get PI which is 3.14
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OpenStudy (princess_shadow_sob):
C=2πr
OpenStudy (anonymous):
3.14159265
to be exact
OpenStudy (princess_shadow_sob):
no its 3.14 suppa_lova so @Error1603 whats next
OpenStudy (error1603):
2nd you want to Divide 15.70 by 5 and also you will get PI which is 3.14 again
OpenStudy (error1603):
3rd divide 63.585 by 20.25 and again you will get PI which is 3.14
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OpenStudy (error1603):
Got it?
OpenStudy (princess_shadow_sob):
yep
OpenStudy (princess_shadow_sob):
now what
OpenStudy (error1603):
Oh, we just solved it. You just simply put it all together, like this: A = 3.14 B = 3.14 C =The person working these calculations for circles A and B is using the same consistent value for pi or 3.14
OpenStudy (princess_shadow_sob):
so whats the circumference
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OpenStudy (princess_shadow_sob):
oh k
OpenStudy (princess_shadow_sob):
stay i have another one
OpenStudy (error1603):
Okay
OpenStudy (princess_shadow_sob):
hold on i coping the stuff just had to take care of my bird
OpenStudy (error1603):
Alright
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OpenStudy (error1603):
Sorry got to go
OpenStudy (princess_shadow_sob):
@xMissAlyCatx
OpenStudy (princess_shadow_sob):
A candy bar box is in the shape of a triangular prism. The volume of the box is 3,240 cubic centimeters.
A triangular prism is shown with base of triangle labeled 24 cm, sides of the triangle labeled 15 cm, and length of the box equal to 30 cm.
Part A: What is the height of the box? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make this candy box? Explain how you got your answer. (5 points)
OpenStudy (princess_shadow_sob):
can u help me @xMissAlyCatx
OpenStudy (xmissalycatx):
Yes. Hello there :)
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OpenStudy (princess_shadow_sob):
hello
OpenStudy (xmissalycatx):
Okay, so do you know the formula for the volume of a triangular prism?
OpenStudy (princess_shadow_sob):
google says V=1
4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4
OpenStudy (princess_shadow_sob):
V≈4949.18
OpenStudy (princess_shadow_sob):
thats what google said when i put the # in
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OpenStudy (xmissalycatx):
The volume for a triangular prism is:
\[V=\frac{ 1 }{ 2 }*b*h*l\]
OpenStudy (princess_shadow_sob):
when i wnet to google it said differently but ok
OpenStudy (princess_shadow_sob):
so whats the answer i always get this stuff wrong
OpenStudy (xmissalycatx):
That's the formula, I promise. Okay anyways..
What you want to do is plug in the numbers that it gave to you on the picture and in the beginning into to formula..
OpenStudy (xmissalycatx):
Do that for me please.
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OpenStudy (princess_shadow_sob):
what i dont under stand
OpenStudy (xmissalycatx):
Okay, the numbers that you were given on your picture.. plug them into that formula I just gave you..
OpenStudy (princess_shadow_sob):
i dont know how to plug them in the formula
OpenStudy (xmissalycatx):
\[3240=\frac{ 1 }{ 2}*30*24*h\]
OpenStudy (xmissalycatx):
So multiply the 1/2 the 30 and the 24..
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OpenStudy (princess_shadow_sob):
360 I DONT KNOW i dont know how to but a 1/2 * 30* 24 in the calculator
OpenStudy (xmissalycatx):
Just do 30 x 24 x .5
OpenStudy (xmissalycatx):
.5 is the same as 1/2
OpenStudy (princess_shadow_sob):
so 360 like i said
OpenStudy (xmissalycatx):
Yes.
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OpenStudy (princess_shadow_sob):
so now what
OpenStudy (xmissalycatx):
Okay so now you've got:
3240 = 360 h
So you need to divide 360 from both sides so that "h" is by itself.
OpenStudy (princess_shadow_sob):
so .5 bc if u divide 360/30/24=.5
OpenStudy (xmissalycatx):
.5 is what 1/2 is.. that's where you get .5 from.
OpenStudy (xmissalycatx):
What is 3240/360?
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OpenStudy (princess_shadow_sob):
9
OpenStudy (xmissalycatx):
That's your answer.
h=9
OpenStudy (princess_shadow_sob):
so what B
OpenStudy (xmissalycatx):
Are you familiar with finding surface area of each part of the prism?
OpenStudy (princess_shadow_sob):
i think so @xMissAlyCatx
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OpenStudy (xmissalycatx):
Okay. So find the surface area of one of the bases, and one of the faces..
OpenStudy (princess_shadow_sob):
A≈1415.89
a Base side
24
b Base side
30
c Base side
30
h Height
9
OpenStudy (princess_shadow_sob):
i dont know help me plz @xMissAlyCatx
OpenStudy (xmissalycatx):
Okay, let's just look at the triangle base first..
We have the Area for a triangle which is A = 1/2 times b times (h)
OpenStudy (xmissalycatx):
So A = 1/2 (24) (9)
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OpenStudy (princess_shadow_sob):
so .5*9*24=108
OpenStudy (xmissalycatx):
Yes.
OpenStudy (xmissalycatx):
Okay, now multiply that by 2 because you have 2 of the bases in total.
OpenStudy (princess_shadow_sob):
so the answer for question B is108
OpenStudy (xmissalycatx):
No. We aren't done yet.
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OpenStudy (xmissalycatx):
You need the surface area of the 3 faces as well.
OpenStudy (xmissalycatx):
30 (15) + __?__
OpenStudy (xmissalycatx):
=** not + sorry
OpenStudy (princess_shadow_sob):
108*2=216
OpenStudy (xmissalycatx):
Yes for that part. Now do the 30 (15) = ?
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OpenStudy (princess_shadow_sob):
30*15=450
OpenStudy (xmissalycatx):
Okay good. Now multiply that by 3.
OpenStudy (princess_shadow_sob):
450*3=1350
OpenStudy (xmissalycatx):
Okay, now add 1350 and 216..
OpenStudy (princess_shadow_sob):
so 1566
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