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Mathematics 8 Online
OpenStudy (anonymous):

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?

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

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:

OpenStudy (anonymous):

4.5x=36

OpenStudy (ny,ny):

hold on

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

then finish solving for x

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

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 :)

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

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

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

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

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

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 :)

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

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!!!!!!!!!!

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

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

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

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

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!

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

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.

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