A quarterback takes the football from the line of scrimmage, runs backwards for 12.0 yards, and then runs 5.7 yards at an angle 52 north of west; he keeps looking, but cannot find anyone open, so he decides to make a break for it. He runs 38.8 yards at an angle of 12 east of north to score a touchdown. What is the displacement of the football from the line of scrimmage to the end zone, where the quarterback scored for his team?

The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 280°f and a minimum temperature of 240°. once the temperature hits 280°, it takes 20 minutes before it is 280° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 270°. he puts the cake into the oven when it is at 260° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)