Joel is laying pipe for a sprinkler system before he plants his lawn . the lawn is a rectangle, 15 feet long and 8 feet wide. he needs to lay piece of pipe that will run along the diagonal of the lawn. it will divide the area of the lawn into two right triangles. what will be the length of the pipe

The length of the pipe = 17 feet

Step-by-step explanation:

length = 15 feet

width = 8 feet

Pythagorean theorem,

(diagonal)² = (length)² +(width)²            {all angles of rectangle are 90°}

                   = 15² + 8²

                   = 225 + 64  = 289

diagonal    = √289 = √ 17 * 17

                   = 17 feet

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.