Answer:
D
Step-by-step explanation:
1. Remind that
![\tan \left(\dfrac{\pi }{4}\right)=1.](https://tex.z-dn.net/?f=%5Ctan%20%5Cleft%28%5Cdfrac%7B%5Cpi%20%7D%7B4%7D%5Cright%29%3D1.)
Here you can use trigonometric table to find the value of
, or you can remind that
and
because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.
2. Now
![\sin^{-1}\left(\tan\left(\dfrac{\pi}{4}\right)\right)=\sin^{-1}1=\dfrac{\pi}{2},](https://tex.z-dn.net/?f=%5Csin%5E%7B-1%7D%5Cleft%28%5Ctan%5Cleft%28%5Cdfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%5Cright%29%3D%5Csin%5E%7B-1%7D1%3D%5Cdfrac%7B%5Cpi%7D%7B2%7D%2C)
because
![\sin\dfrac{\pi}{2}=1.](https://tex.z-dn.net/?f=%5Csin%5Cdfrac%7B%5Cpi%7D%7B2%7D%3D1.)
Dividing x^2 - 16 by 4x - 24 gives the quotient (1/4)x + 3/2
y = (1/4)x + 3/2 would be an asymptote ( discontinuity)
Another would be a vertical discontinuity when x = 6 (this would make the denominator 4x-24 = 0.
Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.
List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Start with 85.
85 is not divisible by 2.
Move on to 3.
85 is not divisible by 3.
Move on to 5.
85/5 = 17
17 is a prime number, so now divide 17 by 17.
17/17 = 1
We divided just by 5 and 17.
Answer: The prime factors of 85 are 5 and 17.
Step-by-step explanation:
taking common (a-b)
so we get the answer
Answer:
50% or 1/2
Step-by-step explanation:
The chance of a coin landing on tails is always 50/50