Answer:
Step-by-step explanation:
<u>Use the law of cosines:</u>
- cos C = (a² + b² - c²)/(2ab)
<u>Apply to the given triangle and solve for x:</u>
- cos x = (52² + 48² - 70²)/(2*52*48)
- cos x = 108/4992
- cos x = 0.02163461538
- x = arccos 0.02163461538
- x = 88.76°
...............................
She is not correct.
The GCF for 2x^2 + 4xy + 8xy^4
is 2x
The first term does not have a 'y' in it so you cannot have a 'y' in the GCF.
The second and third terms both only have 1 'x', so you can only take out 1 'x', not 2.
The highest constant that all three terms have in common is a 2.
Answer:
A
Step-by-step explanation:
842,109 is bigger then 842,019
Answer:
True
Step-by-step explanation:
If two events X and Y are mutually exclusive,
Then,
P(X∪Y) = P(X) + P(Y)
Let A represents the event of a diamond card and B represent the event of a heart card,
We know that,
In a deck of 52 cards there are 4 suit ( 13 Club cards, 13 heart cards, 13 diamond cards and 13 Spade cards )
That is, those cards which are heart can not be diamond card,
⇒ A ∩ B = ∅
⇒ P(A∩B) = 0
Since, P(A∪B) = P(A) + P(B) - P(A∩B)
⇒ P(A∪B) = P(A) + P(B)
By the above statement,
Events A and B are mutually exclusive,
Hence, the probability of selecting a 4 of diamonds or a 4 of hearts is an example of a mutually exclusive event is a true statement.