4. Mark is purchasing a TV. The hypotenuse of the TV is 40 inches and the width is 35 inches.
Mark wants to put the TV on a shelf that has a height space of 20 inches. Will the TV fit? Back
up your answer with mathematical reasoning.

can someone help?

Yes, 19.3649167 < 20

Step-by-step explanation:

Do the Pythagorean theorem to figure out the height.

35^2 + x^2 = 40^2

1225 + x^2 = 1600

x^2 = 375

x = 19.3649167

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.