Sophie has 60 pencils The ratio of sharpened pencils to blunt pencils is 41
How many sharpened pencils does Sophie have ?​

Find the value of the cosine for angle a

() at a farm, animals are fed bales of hay and buckets of gain.each bale of hay is in the shape of a rectangular prism.the base side lengths 2 feet and 3 feet,and the height is 5 feet. each bucket of grain is a cylinder with diameter of 3 feet. the height of the bucket is 5 feet as the height of bale. a. which is larger in area, the rectangular base of the bale or the circular base of the bucket? explain how you know b. which is larger in volume, the bale or the bucket? explain how you know

A50% increase followed by 33 1/2% decrease