Answer:
Step-by-step explanation:
B = 180 -A -C = 105.4 . . . . sum of angles in a triangle is 180°
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The missing side lengths can be found from the Law of Sines:
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) = 2.46·sin(21.2°)/sin(53.4°) ≈ 1.11
Likewise, ...
b = c·sin(B)/sin(C) = 2.46·sin(105.4°)/sin(53.4°) ≈ 2.95
Given the piecewise function:
Let's select the graph which represents the function.
We have the graph below:
For f(x) = 3, the graph will be a horizontal line on y = 3 which has an open dot on x = 0 and a closed dot on x = -2
For f(x) = 1 if x = 0, the graph will have a closed dot located on the point (0, 1)
For f(x) = -(x + 1) if 0 < x ≤2, the graph will have a negative slope with an open dot on (0, -1) and closed dot on (2, -3)
ANSWER:
Graph B
