[/quote]
,
be a triangle with incenter 
and circumcircle 
.
passing through 
and 
passing through 
are tangent at 
of 
and 
,
of 
and 
.
and 
meet at 
.
be a point such that 
is tangent to 
is tangent to 
are collinear.
.
When does equality hold?
denote the set of all positive integers less than 
that are relatively prime to 
.
reducible over the rational numbers, given that it has integer coefficients?
blocks, each weighing at least 
.
with 
you can choose a subset of the blocks whose total weight is at least 
.
such that 
.
chessboard. Initially, Azer colors all cells of this chessboard with some colors. Then, Babek takes 
be non-negative real numbers such that 
Prove that
and 
Find the minimum 
and 
intersect at the point 
.
?
,
.
are chosen from 0 to 1. What is the probability that their positive difference is more than 
?
?
families, there are 
children respectively. If a random child from any of the families is chosen, what is the probability that the child has 
,
such that 
.
,
lies on diagonal 
.
.
has 
,
,
.
.
Y by WhaleVomit, math101010, mysterious_benedict, brainpopper, Adventure10, Mango247
On my 
th post and my birthday (which is this post and today, respectively) I'm gonna make a blog.
Fun fact: today is also barrack obama's birthday (and no, im not barrack obama)
hope u check out my blog
heres the link:
http://artofproblemsolving.com/community/c303625
heres the first post:
hi ppl! this is the first post of this blog and todays my birthday (and barrack obama's birthday as well but I'm not barrack obama)
so last night i was doing my music theory and i noticed something weird when i looked up at the clock to check the time.
there was a bug in the supposedly airtight clock
yes, I'm not kidding: a BUG
not the computer glitch, but the little thing that flies around
so, naturally, this peculiar event sparked a math problem.
the first one is easier,but the last two are harder
. once upon a time, fly guy (he was the main character from my favorite book in grade ) ate some clock gears for lunch. After his delicious meal, he decided to do some gymnastics by balancing on the hour hand of a clock (and btw this is quite hard since the clock face is vertical) every 
hours, he walks to the tip of the hour hand, and the next hours, he walks back to the centre of the clock face) (I'm today btw) assuming he starts at 12:00 pm, when will be the first time he returns to the centre of the clock face when the hour hand is pointing to 
?
. the length of the hour hand is cm. with the same background info as above, what is the average speed of the gymnastics athlete, fly guy (fly guy is a fly btw) in light years/ millisecond? (trollolololol) answer in scientific notation
. after competing in the 
(yes thats an imaginary year) summer olympics in fly guy land and winning gold for his creative gymnastics routine, fly guy devised a better routine. he starts his old routine at 12:00, but this time, every time the clock hand that he is on touches another hand on the clock , he moves to the new hand. the other two hands, the minute hand and the second hand, have a length of cm as well. assuming that he does not change hands at 12:00:00 am or pm, what is his average speed in light years/microsecond? (even more trollolololol) answer in scientific notation
th post and my birthday (which is this post and today, respectively) I'm gonna make a blog.Fun fact: today is also barrack obama's birthday (and no, im not barrack obama)
hope u check out my blog
heres the link:
http://artofproblemsolving.com/community/c303625
heres the first post:
hi ppl! this is the first post of this blog and todays my birthday (and barrack obama's birthday as well but I'm not barrack obama)
so last night i was doing my music theory and i noticed something weird when i looked up at the clock to check the time.
there was a bug in the supposedly airtight clock
yes, I'm not kidding: a BUG
not the computer glitch, but the little thing that flies around
so, naturally, this peculiar event sparked a math problem.
the first one is easier,but the last two are harder
. once upon a time, fly guy (he was the main character from my favorite book in grade ) ate some clock gears for lunch. After his delicious meal, he decided to do some gymnastics by balancing on the hour hand of a clock (and btw this is quite hard since the clock face is vertical) every 
hours, he walks to the tip of the hour hand, and the next hours, he walks back to the centre of the clock face) (I'm today btw) assuming he starts at 12:00 pm, when will be the first time he returns to the centre of the clock face when the hour hand is pointing to 
?
. the length of the hour hand is cm. with the same background info as above, what is the average speed of the gymnastics athlete, fly guy (fly guy is a fly btw) in light years/ millisecond? (trollolololol) answer in scientific notation
. after competing in the 
(yes thats an imaginary year) summer olympics in fly guy land and winning gold for his creative gymnastics routine, fly guy devised a better routine. he starts his old routine at 12:00, but this time, every time the clock hand that he is on touches another hand on the clock , he moves to the new hand. the other two hands, the minute hand and the second hand, have a length of cm as well. assuming that he does not change hands at 12:00:00 am or pm, what is his average speed in light years/microsecond? (even more trollolololol) answer in scientific notationThis post has been edited 2 times. Last edited by OK_then..., Aug 6, 2016, 12:58 AM
hours he returns to centre (thats a hint btw).
hours and also a multiple of 
hours?
light years per millisecond. This is using significant digits, if I didn't mess up too bad lol.
light years per microsecond
