63+12x<15
12x<-48 (subtract 63 from both sides)
x<-4 (divide out the 12)
In this problem, you apply principles in trigonometry. Since it is not mentioned, you will not assume that the triangle is a special triangle such as the right triangle. Hence, you cannot use Pythagorean formulas. The only equations you can use is the Law of Sines and Law of Cosines.
For finding side a, you can answer this easily by the Law of Cosines. The equation is
a2=b2 +c2 -2bccosA
a2 = 11^2 + 8^2 -2(11)(8)(cos54)
a2 = 81.55
a = √81.55
a = 9
Then, we use the Law of Sines to find angles B and C. The formula would be
a/sinA = b/sinB = c/sinC
9/sin54° = 11/sinB
B = 80.4°
9/sin54° = 8/sinC
C = 45.6°
The answer would be: a ≈ 9, C ≈ 45.6, B ≈ 80.4
Usually when the line is going down the slope will be represented as a negative number. Remember rise/run. The slope of this line would be -2/2. If it needs to be simplified it would be -1. If answer choices are all positive best bet would be 1! Hope this helps!
Answer: 36in2
Step-by-step explanation:
A= base *height
=12*3
=36
