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:
1.125 0r 2.25
Step-by-step explanation:
the first is liquid and the second is cups
Answer:
1\/48 (24 x - 25)^2 - 49\/48
x (12 x - 25) + 12
Step-by-step explanation:
a) 170.00 =8n -30
200= 8n
n = 200/8 = 25 items
b) since the expenses increased the profits would decrease
profit = 8(25)-40 = 200-40 = 160
170-160 = 10.00
profit decreased by $10.00
Answer:
The second one (2) is a lie
Step-by-step explanation:
The quantities are all proportional, with 4 donuts costing one dollar being consistant. With this, we can multiply the amount of donuts to 40, and through what we know, we can find that the donuts will cost 10 dollars. This leaves only (2) left.