Answer:
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.
Hope this helps!
93.75
just use a calculator
Answer:
see below
Step-by-step explanation:
The total number of trees is
567+324+156+89+678 =1814
Percent fir = 567/1814 = .312568908=31.26 %
Percent pine = 324/1814 = .178610805=17.86%
Percent larch = 156/1814 =.085997795=8.60%
percent cedar = 89/1814 =.049062845=4.91%
Percent hemlock = 678/1814 = .373759647=37.38%
The total should be 100 %
31.26+17.86+8.60+4.91+37.38=100.01 ( rounding error because we rounded to the hundredths place)
12/24 so probability will be 50% chance
