the length of a rectangle is five inches more than four times it’s width. If the perimeter of the rectangle is 90 inches, find it’s dimension

Pyramid shown has a square base that is 18 inches on each side has a surface area of 164 square inches what is the slant height

Harry is at the depot in dover and has deliveries to make in edinburgh, glasgow and aberdeen. from dover which of the deliveries is the shortest distance?

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.