I am partial to thinking of eureka as meaning "I have found it!" You could use the word, almost always with an exclamation mark, to indicate a sudden or particularly deep insight that solves a long standing problem.
how to use inexplicable in three sentence's
This is a sentence. A prisoner has to serve the sentence the judge gives him.
If you said "use coincidence in a sentence" you already know how to use it in a sentence and are probably getting examples. if you said" how do you use coincidence in a sentence" you most-likely don't know the definition of it.
This sentence is about nothing.
It was particularly noisy on the train this morning, so I was glad when my station arrived and I could escape the bedlam.
It is not particularly noisy. It is no more or less noisy than any city.
My parents use to have noisy altercations when i was little.
The teacher glared angrily at the noisy students.
She complained to the manager about the noisy neighbors next door.
The bell on the bike was adjunct because it's noisy.
They are not particularly noisy-not compared to an impact/dot-matrix printer:)
I don't particularly care for your attitude.
It was noisy, crazy, out-of-control, and everywhere I looked was chaos!
In the sentence "please be quiet; you are being too noisy," you would use a semicolon to separate the two independent clauses.
The adjectives are noisy and crowded, describing an unnamed place.
The noisy children continued to enrage the teacher as she tried unsuccessfully to teach the lesson.