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White raven [17]
2 years ago
13

Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.

Mathematics
2 answers:
aksik [14]2 years ago
6 0

Answer:

c = a√2

Step-by-step explanation:

Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.

since there is no measure, I will write you the formula:

c (hypotenuse) = a√2

Alekssandra [29.7K]2 years ago
3 0

Answer:

  The sine of the angle = the length of the opposite side. the length of the hypotenuse.

  The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.

  The tangent of the angle = the length of the opposite side. the length of the adjacent side.

Step-by-step explanation:

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In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fo
dsp73

Complete Question

Question: In the bronze medal game of the 2014 FIBA Asia Cup... In the bronze medal game of the 2014 FIBA Asia Cup, and with his team down by two points, Philippines guard Paul Dalistan was fouled while attempting a three-pointer at the buzzer. He missed the shot and headed to the line for three foul shots.

1. Watch the video of Dalistan preparing to take his first shot. Before he shoots, what is the probability that Philippines will win the game? Lose the game? Send it into overtime? Dalistan’s free throw percentage is 84.6%

Answer:

a

    The probability that Philippines will win the game is   P(A) =  0.6055

b

   The probability that Philippines will lose the game is P(B) =  0.00365

c

  The probability that the game will be sent to overtime  is P(C) =  0.06

Step-by-step explanation:

From the question we are told that

    The  probability of  Paul Dalistan making a shot is  p  =  0.846

   The probability of  Paul Dalistan not making the shot is  q =  1- p  =  1-  0.846=0.154

     Paul Dalistan team was down by two points

This mean that for Paul Dalistan's  team to win the game he must make the 3 free throws

So the probability that Philippines will win the game is mathematically represented as

    P(A) =   p^3

=>  P(A) =  0.846^3

=>  P(A) =  0.6055

Gnerally for Paul Dalistan's  team to loss the game it means that Paul Dalistan did not make any of the free shot

Hence the probability that Philippines will loss the game is  

     P(B) =  q^3

=>  P(B) =  (0.154 )^3

=>  P(B) =  0.00365

Generally for the game to be sent to overtime  then the game must be tied and for the game to be tied, Paul Dalistan have to make 2 out of the three shots

   Hence the probability that game will go to overtime is  

          P(C) =  3 *  0.846 *  0.154  *  0.154

         P(C) =  0.06

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