The Moon is about 30 Earth diameters distant (i. e. you could fit about 30 Earths in a line from the Earth to the Moon). Let's say you use a 1-foot basketball to represent the Earth and a 3-inch orange to represent the Moon. About how far must they be placed apart to represent an accurate scale of the Earth and Moon?

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.)