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4. ( D ), 5. ( A ), 6. ( D )

Step-by-step explanation:

4. Length AC will cover 2 / 5th of the total circumference of this circle in any possible way, as this polygon is named in the order ABCDE, alphabetical wise.

2πr

= 2π(20) = 40π : Circumference of Circle,

2 / 5(40π) = 16π : Arc AC

5. Let's draw a diagonal across this rectangle.

The diagonal will be the diameter of this circle, and the length can be calculated by Pythagorean Theorem given the other respective legs of this right triangle to be 12 and 5.

( 12 )² + ( 5 )² = ( d )²,

144 + 25 = d² = 169,

diagonal = √169 = 13

πd = 13π : Circumference

5. Given :  A square that has the same area as a circle with a circumference of π,

a² = π, a = √π

4a = 4√π : Perimeter

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.

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step-by-step explanation: