A circular arc has measure 5 in and is intercepted by a central angle of 41 degrees. Find the radius r of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.

How many square centimeters of wrapping paper will be used to wrap the shoe box?

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)

Bill earns $12 per hour and works at most 40 hours per week. identify the independent and dependent quantity in the situation, and find reasonable domain and range values