The length of the hypotenuse, line segment ac, in right triangle abc is 25 cm. the length of line segment bc is 15 cm. which is the approximate measure of angle acb? a)31.0° b) 36.9°c) 53.1° d)59.0°

Choice C) 53.1 degrees

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Explanation:

Check out the attached image below for the drawing of the right triangle.

Let theta = angle ACB be the reference angle

According to this reference angle, the adjacent side BC is 15 while the hypotenuse is AC = 25. Use the cosine ratio and the arccosine (or inverse cosine) function to solve for the approximate angle. Make sure your calculator is in degree mode

cosine(angle) = adjacent/hypotenuse

cos(theta) = BC/AC

cos(theta) = 15/25

cos(theta) = 3/5

theta = arccos(3/5)

theta = 53.1301

theta = 53.1

ye

step-by-step explanation:

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.