Answer:
It isn't much help, but the answer is NOT C. 6
I just took the test and C was not the answer !! I will update this if I figure out what it was.
<h3>Answer: choice A) </h3><h3>tan(Y) = 6/7 and tan(Z) = 7/6</h3>
Recall that the tangent of an angle is equal to the ratio of the opposite over adjacent sides
tan(angle) = opposite/adjacent
For reference angle Y, the opposite side is XZ = 6 and the adjacent side is XY = 7, so,
tan(Y) = XZ/XY = 6/7
For tan(Z), things will swap. The opposite side is now XY = 7 and the adjacent side is now XZ = 6
tan(Z) = XY/XZ = 7/6
We do not use the hypotenuse sqrt(85) at all in this problem because the tangent ratio does not involve the hypotenuse.
Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.
We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.
We combine like terms to get 3x-20000=211000.
We add 20000 to both sides to get 3x=231000.
We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.
Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.
The probability of multiple events happening is calculated by multiplying the probabilities of each event together. This is the case if each event is independent of the other events.
For a fair coin, the probability of tails is 1/ 2 or 0.5, so the probability of all tails in 10 tosess is (1/2)^10 = 1/1024 = 0.0009765625
Correct answer: D
