Answer:
75° degree angle
Step-by-step explanation:
Since the angle 105° is in the second quadrant, subtract 105° from 180° .
180-105=75
Cosine is the ratio of the adjacent side to the hypotenuse.
In short, we have this equation
cos(angle) = adjacent/hypotenuse
In the case of cos(A) = 18/19.5 we can see that
adjacent = 18
hypotenuse = 19.5
The side of 18 cm is next to angle 2, so the 18 cm side is adjacent to angle 2 (in contrast, the 7.5 cm side is the opposite leg in relation to angle 2)
So that's why the answer is angle 2
In other words, replace the '2' angle marker with 'A' to be able to write cos(A) = 18/19.5
Answer:
We have:
x < 4 AND x > a.
if a = 4 and we use an "or" instead of the "and" we have:
x < 4 or x > 4.
This is:
"x is larger than 4 or smaller than 4."
Then the solution of this is all the real numbers except the value x = 4.
The set of solutions can be written as:
{xI x ∈ R \ [4]}
Where this reads:
"x belongs to the set of the reals minus the number 4".
Or we also could write it as:
x ∈ (-∞, 4) ∪ (4, ∞)
Where we have two open ends in the "4" side, so the value x = 4 does not belong to that set.
You got it right because you solved it correctly
Answer:
P(O|R)
Step-by-step explanation:
The conditional probability notation of two events A and B can be written as either P(A|B) or P(B|A).
The '|' sign is read as 'given'. So, P(A|B) is read as the probability of event A given event B which implies that it is the probability that event A will occur given that event B has already occurred.
In the question,
Event R = Person lives in the city of Raleigh
Event O = Person is over 50 years old
The statement says, 'given that the person lives in Raleigh' which means that event R has already occurred and we need to find the probability of event O (the randomly chosen person is over 50 years old).
Hence, this statement can be given in conditional probability notation as
P(O|R)
