The temperature in Gavin's oven is a sinusoidal function of time. Gavin sets his oven so that it has a maximum tem - perature of 300◦F and a minimum tempera - ture of 240◦. Once the temperature hits 300◦, it takes 20 minutes before it is 300◦ again. Gavin's cake needs to be in the oven for 30 minutes at temperatures at or above 280 ◦. He puts the cake into the oven when it is at 270 and rising. How long will Gavin need to leave the cake in the oven?
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