Imagine that we cut the cone in half with a vertical plane. In this plane we'd see points a, b and c. We need to find the measure of angle bca, and then double that angle, to obtain the answer to this problem.
Note that tan (angle bca) = opp / adj = 2 / 6, or 1/3, or 0.333...
Working backwards to find angle bca, we use the inverse tangent function:
arctan 0.3333.. = approx. 0.322 radians, or 18.435 degrees.
Doubling that gives us the measurement of the angle formed between the line segments: 2(18.435 deg) = 36.9 degrees, approximately.
Half the cards are even, 70/2 = 35 even cards.
The probability of picking an even card = 35/70, which reduces to 1/2
Answer:
Option C.
Step-by-step explanation:
If a polynomial P(x) is divided by (x-c), then we write leading coefficients inside the synthetic division line and c outside the synthetic division line.
The given division problem is
Here,
The numerator polynomial can be written as
So, the coefficients of numerator are 6, 1, 0, -3.
The synthetic division form for given division problem is
7 | 6 1 0 -3
Therefore, the correct option is C.
