A building cast a shadow of 12 feet. At the same time a 3 feet yard stick held vertically cast a shadow of 4.5 inches. How tall is the building?
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OpenStudy (anonymous):
Use ratios...
height of object/length of shadow = height of other object/other length of it's shadow
OpenStudy (anonymous):
ok, but I do not understand
OpenStudy (anonymous):
Since you don't know height of building, let that be x....
so for building, ratio is x/12
for the other it would 3/4.5
OpenStudy (anonymous):
So I multiply now
OpenStudy (ny,ny):
ya so now cross multiply
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OpenStudy (anonymous):
set those equal to each other and cross multiply
OpenStudy (anonymous):
I am lost
OpenStudy (ny,ny):
you've got your ratios set up?
OpenStudy (anonymous):
yes
OpenStudy (ny,ny):
ok so now cross multiply:
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OpenStudy (anonymous):
4.5x=36
OpenStudy (ny,ny):
hold on
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
then finish solving for x
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OpenStudy (anonymous):
Divide by 4.5
OpenStudy (anonymous):
right
OpenStudy (anonymous):
ok give me a sec
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
I got 8ft tall
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OpenStudy (anonymous):
that's right!
OpenStudy (ny,ny):
well there you go!
OpenStudy (anonymous):
Thanks so much
OpenStudy (ny,ny):
welcome
OpenStudy (anonymous):
You're welcome :)
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OpenStudy (ny,ny):
lol
OpenStudy (anonymous):
You are good
OpenStudy (ny,ny):
ty
OpenStudy (anonymous):
You like math
OpenStudy (ny,ny):
no i really dont
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OpenStudy (anonymous):
I do Haha
OpenStudy (anonymous):
lol
OpenStudy (ny,ny):
hey you know anything bout radiation in Japan?
OpenStudy (anonymous):
Can you help me with 1 more?
OpenStudy (ny,ny):
sure
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OpenStudy (anonymous):
Just from the news
OpenStudy (ny,ny):
its for my hw i need to know about the rafdiation stuff
OpenStudy (anonymous):
A map uses a scale of 1 centimeter for each 5 kilometer
OpenStudy (anonymous):
I can tell you what I have seen
OpenStudy (anonymous):
If the distance on a map from City A to city B is 17.5 cm
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OpenStudy (anonymous):
what is the distance between the cities in kilometers
OpenStudy (anonymous):
and in miles
OpenStudy (ny,ny):
well i dont know about miles
OpenStudy (ny,ny):
but i can help you with the other thing
OpenStudy (anonymous):
There are 2.54 cm in 1 inch and 5280 ft in 1 mile
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OpenStudy (anonymous):
ok, thanks
OpenStudy (ny,ny):
so you know that for eveery centimeter it is equal to 5 kilometers
OpenStudy (anonymous):
What do you need to know about the radiation?
OpenStudy (anonymous):
yes
OpenStudy (ny,ny):
w8 lemme help you with your stuff then you tell me radiation blah blah
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OpenStudy (anonymous):
Use ratios again....
cm/km = cm/km or
1/5 = 17.5 cm/x
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
then cross multiply
OpenStudy (ny,ny):
yup exactly what he/she said
OpenStudy (anonymous):
She :)
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OpenStudy (ny,ny):
oh ok lol
OpenStudy (anonymous):
would 1/5 be over 1
OpenStudy (anonymous):
no, just leave it as 1/5
OpenStudy (anonymous):
How can it be cross multiplied?
OpenStudy (anonymous):
1 * x = 5 * 17.5
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OpenStudy (ny,ny):
yea
OpenStudy (anonymous):
85
OpenStudy (anonymous):
I meant 87.5
OpenStudy (anonymous):
Yes, 87.5 km
OpenStudy (ny,ny):
lol 64 replies!!!!!!!!!!
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OpenStudy (ny,ny):
65
OpenStudy (anonymous):
to this question
OpenStudy (anonymous):
Ha!
OpenStudy (anonymous):
Now to convert 87.5 km to miles?
OpenStudy (anonymous):
Convert km to cm, then cm to inches, inches to feet, and feet to miles
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OpenStudy (anonymous):
I am not good with geometry
OpenStudy (anonymous):
there are 1000 meters in one km, so first multiply by 1000
OpenStudy (anonymous):
Will that -= the miles
OpenStudy (anonymous):
this means 87.5 km = 87,500 m.....
then, there are 100 cm in a meter, so mulitply the above answer by 100 and you'll have the answer in centimeters
OpenStudy (anonymous):
so it's 8,750,000 cm
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OpenStudy (anonymous):
we would g through all the steps to get to the miles, correct?
OpenStudy (anonymous):
yes, from cm, you would convert to get inches, then with inches you can get feet, and then feet to miles
OpenStudy (anonymous):
You have to be careful though. There are 2.54 cm in 1 inch, so this time you DIVIDE by 2.54
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
36 inches in 1 ft, so DIVIDE by 36
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OpenStudy (anonymous):
You would divide 8,750,000 by 36?
OpenStudy (anonymous):
no, divide by 2.54 first
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
then that answer by 36
OpenStudy (anonymous):
95691 miles
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OpenStudy (anonymous):
then last step, 5280 ft in a mile
OpenStudy (anonymous):
yes, but don't round the answer until you have divided by 5280
OpenStudy (anonymous):
and round answer to however many decimal places you need
OpenStudy (anonymous):
I got 18.12 miles
OpenStudy (anonymous):
Correct!
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OpenStudy (anonymous):
Thanks
OpenStudy (anonymous):
Hmmmm, that doesn't sound right....let me double check my work :)
OpenStudy (anonymous):
NO, that IS right...I was thinking about something else...Sorry :)
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
Haha, I'm confusing myself....let me check that
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OpenStudy (anonymous):
I messed you up....so, sorry....there are 12 inches in a foot....OOPS
OpenStudy (anonymous):
we used 36.....sorry about that
OpenStudy (anonymous):
The radiation in Japan has traveled to some parts of the U.S, through the water. The amount that is in seafood, they say is small, but a lot of places has stopped selling things like fish.