Answer: the length of the angle bisector of angle ∠A is 6 ft
Step-by-step explanation:
The diagram of the right angle triangle ABC is shown in the attached photo
Looking at triangle ABC,
cos θ = adjacent side/hypotenuse side
cos θ = 5/13 = 0.3846
θ = 67.38 degrees
The bisector of an angle divides it into two equal halves. The bisector is represented by line AD.
θ/2 = 67.38/2 = 33.69 degrees
Therefore,
Cos 33.69 = 5/AD
AD × Cos 33.69 = 5
AD = 5/Cos 33.69 = 5/0.832
AD = 6 ft
Answer:
The probability that the dogs are blue eyed and deaf is 13.02%.
Step-by-step explanation:
We are given the following information in the question:
P(Blue eyes) = 31%
P(Deaf) = 38%
P(Deaf | Blue eyes) = 42%
Formula for conditional probability:
Now, let A be the event where the dog is deaf and B be the the event where dog is blue eyed.
Hence, the probability that the dogs are blue eyed and deaf is 13.02%.