Find the unknown side length, x. write your answer in simplest radical form.

a. 15
b. 11√2
c. 2√121
d. 15√5

  B. 11√2

Step-by-step explanation:

x is the length of the hypotenuse of an isosceles right triangle with leg length 11. Its measure is x = 11√2.

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Consider a right triangle with legs (a and b) of length 1. Then the Pythagorean theorem tells you the hypotenuse (c) has length ...

  c = √(a²+b²) = √(1²+1²) = √2

This same ratio of leg lengths to hypotenuse length (1 : 1 : √2) applies to all isosceles right triangles. So, the length of the hypotenuse is always √2 times the length of a leg in such a triangle.

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.

all you have to do is multiply them both to see how many out comes you can put:

3 x 2 = 6

you can make 6 diferent combinations of crusts and toppings.

~batmans wife dun dun