Mathematics
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OpenStudy (mckenzieandjesus):
The figure represents the overhead view of a deck surrounding a hot tub. What is the area of the deck? Round to the nearest tenth.
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OpenStudy (mckenzieandjesus):
OpenStudy (mckenzieandjesus):
@LegendarySadist
@jim_thompson5910
jimthompson5910 (jim_thompson5910):
what's the area of the blue circle?
OpenStudy (mckenzieandjesus):
26.4?
jimthompson5910 (jim_thompson5910):
that's the radius I think
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jimthompson5910 (jim_thompson5910):
either that or the diameter
they didn't label the drawing too well
OpenStudy (mckenzieandjesus):
2189.56 ?
jimthompson5910 (jim_thompson5910):
I think because the line goes through the whole circle, 26.4 is the diameter
OpenStudy (mckenzieandjesus):
oh ok
OpenStudy (mckenzieandjesus):
how do i find the area of the blue circle?
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jimthompson5910 (jim_thompson5910):
area = pi*r^2
r = radius
jimthompson5910 (jim_thompson5910):
radius = diameter/2
OpenStudy (mckenzieandjesus):
1.6328?
jimthompson5910 (jim_thompson5910):
how did you get that
OpenStudy (mckenzieandjesus):
26.4/2= 26 2/5
3.14*26 2/5^2=6.5312
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OpenStudy (mckenzieandjesus):
oops. I am not sure.. did i get it right now?
jimthompson5910 (jim_thompson5910):
26.4/2= 26 2/5 is false
OpenStudy (mckenzieandjesus):
26.4/2= 13 1/5
jimthompson5910 (jim_thompson5910):
it should be 26.4/2= 13.2
your calculator is in one strange mode, idk
jimthompson5910 (jim_thompson5910):
yeah 13 & 1/5 = 13.2
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OpenStudy (mckenzieandjesus):
so 3.14*13.2^2= 547 71/625?
OpenStudy (mckenzieandjesus):
or 547.1136? my calc is weird
jimthompson5910 (jim_thompson5910):
yeah roughly 547.1136
jimthompson5910 (jim_thompson5910):
that's the blue circle area
jimthompson5910 (jim_thompson5910):
in terms of pi, it is 174.24pi
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OpenStudy (mckenzieandjesus):
ok
jimthompson5910 (jim_thompson5910):
do the same with the larger circle
OpenStudy (mckenzieandjesus):
3.14*8.8^2?
jimthompson5910 (jim_thompson5910):
8.8 isn't the radius, but it's part of it
OpenStudy (mckenzieandjesus):
what is the radius?
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jimthompson5910 (jim_thompson5910):
radius of larger circle = (radius of smaller circle) + 8.8
jimthompson5910 (jim_thompson5910):
try to imagine the smaller circle erased for a second
OpenStudy (mckenzieandjesus):
so 555.9136?
OpenStudy (mckenzieandjesus):
547.1136+8.8= 555.9136
jimthompson5910 (jim_thompson5910):
547 is way too big
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jimthompson5910 (jim_thompson5910):
the smaller radius was 13.2
OpenStudy (mckenzieandjesus):
oops, 13.2+8.8=22
jimthompson5910 (jim_thompson5910):
use that radius to find the area
OpenStudy (mckenzieandjesus):
1519.76
OpenStudy (mckenzieandjesus):
pi*r^2
3.14*22= 1519.76 right?
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OpenStudy (mckenzieandjesus):
22^2
jimthompson5910 (jim_thompson5910):
now you subtract the two areas
OpenStudy (mckenzieandjesus):
1519.76-547.1136= 972.6464
OpenStudy (mckenzieandjesus):
so 973.1 ft2 (:
OpenStudy (mckenzieandjesus):
Find the measure of <3
120°
30°
45°
90°
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OpenStudy (mckenzieandjesus):
isn't it 90 degrees?
jimthompson5910 (jim_thompson5910):
close
jimthompson5910 (jim_thompson5910):
you bisect it though
OpenStudy (mckenzieandjesus):
45 degrees?
jimthompson5910 (jim_thompson5910):
yeah
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OpenStudy (mckenzieandjesus):
Find the measure of
is it 45?
OpenStudy (mckenzieandjesus):
wait 60?
jimthompson5910 (jim_thompson5910):
your question is incomplete
OpenStudy (mckenzieandjesus):
oops. find the measure of <1
jimthompson5910 (jim_thompson5910):
why 60
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OpenStudy (mckenzieandjesus):
i did 360/6
jimthompson5910 (jim_thompson5910):
good
OpenStudy (mckenzieandjesus):
ok. i cant remember how to do this
What is the area of the circle if XY = 17 in.?
OpenStudy (mckenzieandjesus):
OpenStudy (mckenzieandjesus):
do i * 17 by pi?
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OpenStudy (mckenzieandjesus):
its my last question i need help with
jimthompson5910 (jim_thompson5910):
what is the radius
OpenStudy (mckenzieandjesus):
i forget how to find it uhm..
jimthompson5910 (jim_thompson5910):
well XY = 17 is the diameter
OpenStudy (mckenzieandjesus):
ohh 17/2?
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OpenStudy (mckenzieandjesus):
17/2= 6.5?
OpenStudy (mckenzieandjesus):
3.14*6.5= 20.410?
jimthompson5910 (jim_thompson5910):
17/2 is not 6.5
jimthompson5910 (jim_thompson5910):
you're thinking of 13/2
OpenStudy (mckenzieandjesus):
17/2= 8 1/2
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OpenStudy (mckenzieandjesus):
ohmy idk y i put 6, my calc says 8
OpenStudy (mckenzieandjesus):
3.14*8.5= 26.69
jimthompson5910 (jim_thompson5910):
and then you have to square the radius
OpenStudy (mckenzieandjesus):
8.5 right?
OpenStudy (mckenzieandjesus):
72.25
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OpenStudy (mckenzieandjesus):
or 72 1/4
jimthompson5910 (jim_thompson5910):
multiply 72.25 with pi to get the area
OpenStudy (mckenzieandjesus):
oh yeah, 226.865
OpenStudy (mckenzieandjesus):
that number is big though. what do i do next i forget?
jimthompson5910 (jim_thompson5910):
what are your answer choices?
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OpenStudy (mckenzieandjesus):
17π in2
72.25π in2
36.75π in2
8.5π in2
jimthompson5910 (jim_thompson5910):
so just undo that last step we did
jimthompson5910 (jim_thompson5910):
and leave it in terms of pi
OpenStudy (mckenzieandjesus):
ohh ok
OpenStudy (mckenzieandjesus):
thanku so much!!
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jimthompson5910 (jim_thompson5910):
np