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That is really weird. I saw him on the leaderboard under Heureka only a moment ago and when I looked again and he was gone.  How very strange. His profile is still there, but he hasn't been here for 2 months.

I hope he is ok and that he returns soon too :/

Maybe after a period of inactivity the name no longer displays on the leaderboard? 

he dissapeared from the leaderboard

I was wondering about this, too.....I hope not.....he gave some really good answers  !!!

No I've just recently got back to using this site...he may show up but I haven't seen him.

First one....you are correct

Second one....Sorry....I can't interpret exactly what the "2.5" means....maybe someone else knows the answer to this

thanks

LOL!!!!

Well...if it's any consolation to you....I'm not that good at it, either....!!!

We can use the sine to find this

sin (53.1)  = 4/r     rearrange as

r  =  4 / sin (53.1)  =   5 units  (rounded )

You are a life saver, I was never good at math.

A_sector  =  (1/2) r^2  (theta in rads)  =  (1/2) (5)^2 * (1.5)  = 

25 * 1.5 / 2   =

18.75 in^2

Jess...I'm never entirely sure how these are to be written

But......I think the full answer is  :   (x,y) ⇒  (x, y - 11)

is it just (6,8)?

I'm confused on the first part of the answer, what exactly is the answer?

Transformation  rule :   (x, y - 11)  ⇒  (6, 8 - 11)

Scale factor  =   Radius of  Circle 2 / Radius of Circle 1  =  2/8  =  1/4

SQ : QT  =  5 : 2

x coordinate of Q   =   -2 + (5/7)(5 - -2)   =   -2 + (5/7)(7)   =   -2 + 5   =   3

y coordinate of Q   =   -6 + (5/7)(8 - -6)   =   -6 + (5/7)(14)  =  -6 + 10  =  4

point Q is located at  (3, 4)

sin of an angle  =  length of side opposite that angle / length of hypotenuse

So in this case...

sin 53.1°  =  4 / r       Multiply both sides of the equation by  r .

r sin 53.1°  =  4         Divide both sides of the equation by  sin 53.1°

r  =  4 / sin 53.1°       Plug this into a calculator to get...

r  ≈  5

Your answer is good, Supermanaccz....it would cover all possibilities.....mine was just using a basic identity.......both are OK

Hectictar's answer is about as good as it gets.....!!!!

Check your input, again......

Do you know what I did wrong?

Here's my work, I know it's wrong but I don't know where. 

There are 52 choose 2 ways to choose 2 cards, which is 1326. 

There are 4 choose 2 ways to get 4 kings

20 ways to get the aces. 

(20+4)/1326 = 1/221

This is not possible because to get one ace it is 1/13 chance. 

Can someone tell me what I did wrong?

Arc length, S...is given  by

S  =  r (theta  in radians)

So

S  = 28  (3pi/4)      =  28 (3/4)*pi =  [ 21 pi ]   inches