A newly planted tree is braced by a piece of rope that is attached to a stake so the rope forms an angle with the ground. The rope is attached to the tree above the ground. Assuming the tree forms a right angle with the ground, find the length of the rope and the distance from the tree to the stake using trigonometric ratios.

Once george got to know adam, they found that they really liked each other. this is an example of what factor in friendship

Which ordered pair identifies a point in quadrant iv? a) (2, 5) b) (0, 1) c) (-1, -1) d) (12, -5) which quadrant is (-4,-6) in? a) i. b) ii. c) iii. d) iv.

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.