Answer:
18.7
Step-by-step explanation:
The Law of Cosines is
, where c is the unknown side length of a triangle, a and b are the remaining two side lengths, and C is the angle opposite to side c. To answer this question just plug in the known values:

Simplify:



m≈18.665...
When rounded to the nearest tenth, m=18.7
Answer:
4.27 meters
Step-by-step explanation:
Answer:
There is a 2/3 probability that the other side is also black.
Step-by-step explanation:
Here let B1: Event of picking a card that has a black side
B2: Event of picking a card that has BOTH black side.
Now, by the CONDITIONAL PROBABILITY:

Now, as EXACTLY ONE CARD has both sides BLACK in three cards.
⇒ P (B1 ∩ B2) = 1 /3
Also, Out if total 6 sides of cards, 3 are BLACK from one side.
⇒ P (B1 ) = 3 /6 = 1/2
Putting these values in the formula, we get:

⇒ P (B2 / B1) = 2/3
Hence, there is a 2/3 probability that the other side is also black.
Answer:
80 adults
Step-by-step explanation:
The number of kids is $10,000/$50 = 200. The number of adults is 2/5 of that, or 80.
There are 80 adults in the group.