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
Answer:
The 12th term in the sequence is 22
Answer: The description are as follows:
Step-by-step explanation:
Correlation coefficients is a statistical measure that measures the relationship between the two variables.
(a) r = 1, it means that there is a Perfect positive relationship between the two variables. If there is positive increase in one variable then other variable also increases with a fixed proportion.
(b) r = -1, it means that there is a perfect negative relationship between the two variables. If there is positive increase in one variable then other variable decreases with a fixed proportion.
(c) r = 0, this is a situation which shows that there is no relationship between the two variables.
(d) r = 0.86, this is a situation which shows that there is a fairly strong positive relationship between the two variables.
(e) r = 0.06, it is nearly zero which represents that either there is a very minor positive relationship between the two variables or there is no relationship between them.
(f) r = -0.89, this is a situation which shows that there is a fairly strong negative relationship between the two variables.
Answer:
it is less than and equal to
Step-by-step explanation:
its > with a line under it
