While on vacation, Carine rides in a hot-air balloon. To make the balloon rise, the pilot turns on a flame to warm the air inside the balloon. How does the air change?

The air inside becomes warmer, and that makes it LESS DENSE.

Less-dense air FLOATS in denser air. Since it's inside the balloon, it picks the balloon up when it floats.

i already answered it by 34/s

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y