No
it is irrational for that reason - it goes on without bound
3 hats each is the largest amount Anthony can buy.
to get this answer i multiplied 3 friends by $5 ( amount of each hat) and got $15.
i divided that into $57 and got 3.8. So he can only afford to get each friend 3 hats each. Anthony should have $12 left
Answer Obtuse Angle is greater than 90° but less than 180°
hoped this helped let me know if it did