Which set of side lengths, in inches, will form a triangle? a 3.5, 7.2, and 3.0 b 10.0, 4.6, and 5.3 c 5.5, 4,9, and 10.5 d 3.2, 5.9, and 4.5

The correct answer is D

Step-by-step explanation:

To form a triangle, the sum of ANY two sides of the triangle must be greater than the length of the third side.

Looking at the first: 3.5+3.0 = 6.5 < 7.2, therefore it can't form a triangle since the sum of a pair of sides is less than the third side.

Looking at the second: 4.6 + 5.3 = 9.9 < 10.0, it's the same as the first.

Looking at the third: 5.5 + 4.9 = 10.4 < 10.5, it's the same as the first and second.

Looking at the last: 3.2 + 5.9 = 9.1 > 4.5, 3.2 + 4

5 = 7.7 > 5.9 and 5.9 + 4.5 = 10.4 > 3.2. Obviously, this fulfils the condition of a triangle. Any two sides is greater than the third, therefore the correct answer is D.

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.

(3x-8) or (3x+8)

step-by-step explanation: