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Let the sides of the triangle be a, b, 10 where a \leq b < 10 By the triangle inequality, a + b > 10 \implies a + b + 10 > 20 ie\,\, P > 20 \implies \boxed{(C),\, (D)}

Its possible but my aforementioned mark was the highest i have herd.

These are really good books! I have 3 of them =) I have intro. to number theory, intro. to counting and probability and the AoPS Volume 2.

I believe someone got a mark of 118 in the CSSA 4 unit trial this year.

So there are three parts to this question. Firstly you must find the point C, then find the equation of the line BC, then use the perpendicular distance formula. Note that it says that ABCO is a parallelogram. This means that AO is the 'same' as BC. To get from A to O you must go 2 units to...

There are 2 ways to show that the approximation underestimates the integral. Firstly you could differentiate the function and show that it is concave down for the domain from 0 to 2. Or you could graph the logarithmic function and mearly show that its concave down for the aforementioned domain...

Im going to start a bachelor of Psychology next year and a bachelor of Mathematics the year after and when i finish high school i will go on to doing a doctorate in mathematics/ theoretical physics.

To find out just grab the nearest "General Relativity" book and read it. But you would first have to read up on tensor calculus, geodesics, manifolds, and a little topology just to get a basic understanding of the derivation of this formula.

This is one of the most prolific equations of the 20th century. It is the Einstein field equation.

Im not trying to brag or anything, just trying to let the OP know its completely possible.

Its not impossible. I learnt all of the HSC mathematics course in 4 hours seriously. also, why is it that you want to learn chem in 4 hours?

This is absolutely ridiculous, i might miss out on a state rank just because i had the flu when i was doing my trial, and i will now miss out on a state rank because of it (most likely) =(

I asian failed my HSC maths trial :burn:

So basically what you are saying is even if i get 100% in the HSC mathematics exam, whether or not i get a state rank depends on how well the no. 1 person goes?

So what if the person who came first internally got say 96 and i got 100%?

Im just curious, i am coming 2nd at my school in HSC mathematics. If i got 100% in HSC mathematics exam, would i get a state rank?

Why are you doing that out of curiosity?