Angelica starts spinning the merry-go-round, giving it an angular velocity of 8 rad/s , then she stops pushing it. boris runs with a speed of 9 m/s directly toward the center of the merry-go-round. he jumps and lands on the edge of the merry-go-round. what is the angular speed of the merry-go-round once boris lands on it?

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.)