Using trigonometry, find the length of the hypotenuse if the angle is 30° and the side opposite to the angle is 5
cm, correct to the nearest whole number.

10 cm.

Step-by-step explanation:

sin 30 = opposite / hypotenuse = 5 / H

1/2 = 5/H

H = 10 cm.

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.