Answer:
18 + √3
Step-by-step explanation:
The product of a surd and its conjugate gives a rational number. Hence;
(18 - √3) (18 + √3)
=324 + 18√3 - 18√3 - 3
=321
A rational number does not contain any surd, hence the answer.
Answer:
a triangle
Step-by-step explanation:
If P(A) times P(B) is equal to P(A n B), then that shows the events are independent. Otherwise, they are dependent. When I write "A n B", I mean "A intersect B". The intersect symbol looks similar to the lowercase letter n.
P(A)*P(B) = (3/4)*(2/5) = (3*2)/(4*5) = 6/20 = 3/10
Since that result is not the same as P(A n B) = 1/3, this means that the events are not independent. They are dependent events. The answer is choice D
The complex conjugate of a + bi is a – bi, and similarly the complex conjugate of <em><u>a – bi is a + bi. </u></em>
Answer:
D. 70.53
Step-by-step explanation:
To solve this problem, one must use the right angle trigonometric rations. These ratios can be used to describe the ratio between the sides and an angle in a right triangle. Please note, each side is named relative to the angle that one is looking at, thus the same side can acquire different names based on the angle one uses to describe it. The trigonometric ratios are the following:

In this case, one is asked to find the measure of (<CBA), one is given the hypotenuse (the side opposite the right angle), and the side adjacent to this angle. Therefore, one should use the cosine (cos) function to find this angle.

Substitute,

Simplify

Inverse operations,

Compute,
m<CBA = 70.53