HighSchoolDx

https://web2.0calc.com/questions/in-triangle-and-let-be-the-incenter-the-incircle

ABCDE = 1200 

1200 prime factorization = 24 * 3 * 52

Rolls: 5, 5, _, _, _

Fit 24 and 3 as product of 3 numbers (6 or less):

4, 4, 3

6, 4, 2

5, 5, 4, 4, 3 and 5, 5, 6, 4, 2

Ways to arrange 55443 = 5! / (2! * 2!) = 30

Ways to arrange 55642 = 5! / 2! = 60

30 + 60 = 90

Graphing the equation on a ti or Desmos is simplest. to the nearest tenth, it is 3.9

solution is from user melody https://web2.0calc.com/questions/counting_88

1 apple, 3 peaches     3*5C3

2 apples, 2 peaches     3*5C2

3 apples 1 peach       1*5

Then add them up.

Slope of the line is (17 - 11) / (-2 --5) = 6/3 = 2. Find the y intercept (b) is 21. y = 2x + 21

AHHHHH

How do you find the inverse of its own function???

What!? No way... I dont think that is the right answer... The inverse of a function that is itself can't be itself! :P

Do you have a better idea? :)

the sum can be expressed as 2011 * 1005. Then, we know that 2010 * 1005 is a multiple of 2010. adding 1005 onto that then it is 2011 * 1005, which is S. I am not familiar with residues, but I do knowk that S mod 2010 = 1005 hope this helps

THANK you!!!

apologies for the long time for reply... i was on vacation. I will be sure to study up on my artihmetic-geometric mean inequalities  😅

Brilliant!