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HSC 2013 MX2 Marathon (archive) (7 Viewers)

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Re: HSC 2013 4U Marathon

Think of the position of P - and the relation between PS and PS'
 

darkfenrir

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Re: HSC 2013 4U Marathon

gah! TELL MEEE wats a quicker way plz!

or more elegant


Sine thing is super ugly...
 

Sy123

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Re: HSC 2013 4U Marathon

gah! TELL MEEE wats a quicker way plz!

or more elegant


Sine thing is super ugly...
Prove that S'PS* is collinear
Then use vertically opposite angles (this is how I did it)
 
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Re: HSC 2013 4U Marathon

Example of latex:


\int \frac{\sin^3x}{\cos^5x} dx


Wrap that in [ t e x ] [ / t e x ] tags.
 

seanieg89

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Re: HSC 2013 4U Marathon

Chad O Dude has 1000 women interested in him. He knows that exactly one of them has a vicious, contagious, and fatal (if he catches it) case of herpes.

He wants to sleep with all of the other 999 women, but needs to first determine which one is infected. The way he does this is by sending a number of friends to sleep with them, and observing whether they die by the next morning. Each friend can bed several women at once, and Chad can run these tests on separate nights (although no friend is willing to be used as a guinea pig on multiple nights).

What is the minimum number of friends Chad must have in order to successfully identify the infected woman?

Provide proof.
 

deswa1

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Re: HSC 2013 4U Marathon

^Ahh nice question. I know the answer but I won't spoil it- will be interesting to see who (if anyone) gets it
 

iBibah

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Chad O Dude has 1000 women interested in him. He knows that exactly one of them has a vicious, contagious, and fatal (if he catches it) case of herpes.

He wants to sleep with all of the other 999 women, but needs to first determine which one is infected. The way he does this is by sending a number of friends to sleep with them, and observing whether they die by the next morning. Each friend can bed several women at once, and Chad can run these tests on separate nights (although no friend is willing to be used as a guinea pig on multiple nights).

What is the minimum number of friends Chad must have in order to successfully identify the infected woman?

Provide proof.
Isn't this the wine problem in a different situation ?
 

deswa1

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Re: HSC 2013 4U Marathon

Yep its the same thing just with a new story haha.
 

erckle999

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Re: HSC 2013 4U Marathon

I get 10 friends, working on a proof now.
 

RealiseNothing

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Re: HSC 2013 4U Marathon

All squares are similar to eachother, and same with circles. Hence we only have to find the ratio between the the radius' of and to find the radius of

The radius of:





So the radius has a ratio of . Hence the radius of is
 
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Trebla

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Re: HSC 2013 4U Marathon

Chad O Dude has 1000 women interested in him. He knows that exactly one of them has a vicious, contagious, and fatal (if he catches it) case of herpes.

He wants to sleep with all of the other 999 women, but needs to first determine which one is infected. The way he does this is by sending a number of friends to sleep with them, and observing whether they die by the next morning. Each friend can bed several women at once, and Chad can run these tests on separate nights (although no friend is willing to be used as a guinea pig on multiple nights).

What is the minimum number of friends Chad must have in order to successfully identify the infected woman?

Provide proof.
LOL
 

Sy123

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Re: HSC 2013 4U Marathon

All squares are similar to eachother, and same with circles. Hence we only have to find the ratio between the the radius' of and to find the radius of

The radius of:





So the radius has a ratio of . Hence the radius of is
Another elegant solution, nice work.

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