The temperature in gavin's oven is a sinusoidal function of time. gavin sets his oven so that it has a maximum temperature of 270°f and a minimum temperature of 230°. once the temperature hits 270°, it takes 20 minutes before it is 270° again. gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 260°. he puts the cake into the oven when it is at 250° and rising. how long will gavin need to leave the cake in the oven? (round your answer to the nearest minute.)