The ratio is 2 to 8. please help im begging

Cos^2x+cos^2(120°+x)+cos^2(120°-x)i need this asap. pls me

During each minute of a comedy show, carlin laughs 55 times. carlin watches 33 comedy shows every day, and each show is 40 minutes long. how many times does carlin laugh every day due to the comedy shows?

Need to finish my juan wants to build a greenhouse in his back yard. he needs to maximize the ratio of floor area to structure volume in order to provide the most room for plants while minimizing the area to be heated. find the description of the structure that best meets juan’s criteria. a.) a hemisphere with a diameter of 12 feet b.) a cube with a side length of 12 feet c.) a cone with a diameter of 12 feet and a height of 10 feet d.) a square pyramid with a base side length of 12 feet and a height of 9 feet