From the law of sines, we have:

,
where x and y are the sides opposite to angles X and Y, respectively.
Substituting the known values, we have:

, thus

.
Using a calculator, we can find that arcsin(0.31)=18 degrees, approximately.
We know that sine of (180-18)=162 degrees is also 0.31. But 162 and 51 degrees add up to more than 180 degrees.
Thus, there is only one triangle that can be formed under these conditions.
Answer:
$7.65
Step-by-step explanation:
step one:
The total bill was $45.
michelle pays 35% of the total bill
= 35/100*45
=0.35*45
=$15.75
lori pays 48% of the bill
= 48/100*45
=0.48*45
=$21.6
Therefore patti will pay
=45-15.75-21.6
=$7.65
Answer:
3 X 52 =156
100+6.5 = 106.5, 106.5/100 = 1.065
1250 X 1.065^156 = 23091323.5
$23091323.50