16.5
Add the data set together and then divide by 5, or how many numbers are in the data set
Remember "SOH CAH TOA"
Sine = (Opposite/Hypotenuse)
Cosine = (Adjacent/Hypotenuse)
Tangent = (Opposite/Adjacent)
In this case, we will be using cosine, and our equation will be 
So firstly, cross-multiply. 
Next, divide both sides by cos(28), and your answer will be 
Answer:
c = 0.5 cm
Step-by-step explanation:
Law of sines:
sin (15) / c = sin(105) / 2
0.2588 / c = 0.9659 / 2
c = 0.2588 * 2 / 0.9659
c = 0.5 cm
Answer:
The answer is below
Step-by-step explanation:
Plotting the following constraints using the online geogebra graphing tool:
x + 3y ≤ 9 (1)
5x + 2y ≤ 20 (2)
x≥1 and y≥2 (3)
From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).
We need to minimize the objective function C = 5x + 3y. Therefore:
At point A(1, 2): C = 5(1) + 3(2) = 11
At point B(1, 2.67): C = 5(1) + 3(2.67) = 13
At point C(3, 2): C = 5(3) + 3(2) = 21
Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.
it is true because al triangles angles MUST add up to 180