Recall the Laplace transform of a second-order derivative,

and the transform of cosine,

Here, both
, so taking the transform of both sides of

gives


Given:
Total number of coins (Quarters and dimes) = 60
Total amount = $12.45
To find:
The number of quarters and dimes.
Solution:
Let x be the number of quarters and y be the number of dimes.
We know that,
1 quarter = 0.25 dollar
1 dime = 0.10 dollar
Total coins:
...(i)
Total amount:
...(ii)
From (i), we get
...(iii)
Putting this value in (ii), we get




Divide both sides by 0.15.


Putting x=43 in (iii), we get


So, the number of quarters is 43 and the number of dimes is 17.
Therefore, the correct option is b.
Answer :
the probability of tossing three heads in a row

…………………………………………
the probability of tossing two heads followed by one tail

……………………………
the probability of two heads and one tail in any order

It is a point hope it helps you
1. Linear Pair Postulate
2. Angle 2
3.Angle 3
4.Angle Congruence Postulate