Teams A, B, and C are playing a game of strength. Each team has attached a rope to a metal ring and is trying to pull the ring into their own area.
Team A pulls with force vector a = 5i + 29.
Team B pulls with force vector 6 = -6i + 1ỹ.
Team C pulls with force vector such that the ring does not move.
(Forces are given in kilo newtons, kN.)
What is the magnitude of c ?
KN
(Round your final answer to the nearest tenth.)
In what direction is team pulling? Assume 0 is the rightward direction.
(Round your final answer to the nearest degree. Your answer should be between 0 and 360)

Aking and his army will attempt to capture a fortress. the left and right flanks break off from the main group to attack the west and east guard towers. suppose the left flank has a 60% chance of success and the right flank has a 75% chance of success, independently of one another. if both flanks capture their respective targets, then the king has a 98% chance of successfully taking the fort. if, however, only the left flank captures its tower, the king has an 80% chance of success; if only the right flank succeeds, the king has a 50% chance. if both flanks fail, then the king's chance of capturing the fort drops to 20%. it turns out the king captures the fort. what is the probability that one, and only one, flank was successful (either the left, or the right, but not both)? (round your answer to 3 decimal places)