For this problem you need to determine the correct height of a flagpole large enough to support the star spangled banner flag that flies over fort mchenry. this flag is 30 by 42 feet in size. (we know that the ratio of the height of a flagpole to the width of any flag is 1 to 4.)

The triangles are similar. what is the value of x? enter your answer in the box.

Edith is shopping for a new leather couch. jordan’s furniture has one that costs $3,000. however, this weekend she can get a 15% discount. how much money will edith save if she buys the couch this weekend? a $15b $2,550c $45,000d $450

Acone is placed inside a cylinder. the cone has half the radius of the cylinder, but the height of each figure is the same. the cone is tilted at an angle so its peak touches the edge of the cylinder’s base. what is the volume of the space remaining in the cylinder after the cone is placed inside it?