Answer:
A = 52°, a = 149.2, c = 174.3
Step-by-step explanation:
Technology is useful for this. Many graphing calculators can solve triangles for you. The attachment shows a phone app that does this, too.
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The Law of Sines can give you the value of c, so you can choose the correct answer from those offered.
c = sin(C)·b/sin(B) = sin(113°)·49/sin(15°) ≈ 174.271 ≈ 174.3 . . . . . third choice
Answer:
Part 1) The expression for the perimeter is or
Part 2) The perimeter when z = 15 ft. is
Step-by-step explanation:
Part 1)
we have
Find the roots of the quadratic equation
Equate the equation to zero
Complete the square
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
-----> root with multiplicity 2
so
The area is equal to
The length side of the square is
therefore
The perimeter is equal to
Part 2) Find the perimeter when z = 15 ft.
we have
substitute the value of z