Answer:
Option B: x > 0
Step-by-step explanation:
Option A is wrong because 
will be 0. So, the inequality can't be divided by 0.
Option C is wrong because 1 will suffice this inequality. 
Option D is wrong because any value in the root has to be greater or equal to 0 (otherwise, it's imaginary number). -1 will give the latter root a value of root-(-3).
Leaving us with only option B, which is the right answer.
Answer:A. The theoretical probability for pink is 95/185 or about 51.35%
B. The theoretical probability for brown is 90/185 or about 47.82%.
C. To find the experimental probability, we will make another fraction. The number of outcomes will be the numerator and the total will be the denominator.
Pink 36/69 = 52.17%
Brown 33/69 = 47.82%
Step-by-step explanation:
Answer: x = 37.8
Step-by-step explanation: We start with triangle ABC with two sides given as 15 and 18. We shall make angle C the reference angle and thereby calculate the third side, line BC.
Since we have the opposite side as 15, and the adjacent side (which lies between the reference angle and the right angle) as 18, we can use the tangent of the angle C
Tan C = Opp/Adj
Tan C = 15/18
Tan C = 0.8333
From our table of values/use of the calculator
Tan C = 39.8
Angle C in triangle ACB = Angle C in triangle ECD (Opposite angles are equal).
That takes us to triangle ECD, since the reference angle is known (39.8) and the opposite side is also given (31.5), we can now calculate the adjacent which is side x.
Tan C = Opp/Adj
Tan 39.8 = 31.5/x
when you cross multiply, x moves to the left hand side, while Tan 39.8 moves to the right hand side
x = 31.5/Tan 39.8
x = 31.5/0.8333
<u>x = 37.8</u>
