Find the perimeter of the shaded segment ?

10.6149. to 4 d.p.

Step-by-step explanation:

use cosine rule to fine the length of the shaded part: sqrt(6.7^2 *2 - 2*6.7^2*cos(46degrees)) which is approx 5.24.

convert the 46degrees into radians: 46pi/180

then multiply the angle by the radius to find the arc length of the sector:

23pi/90*6.7 = arc length, which is about 5.38

23pi/90*6.7 + sqrt(2*6.7^2(1 - cos(46degrees))) which about 10.615

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.

tube or goog would be a great resource to with that question