What is the completely factored form of this expression?
2 answers:
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a ≈ 5.2, B ≈ 50°, C ≈ 95°
Solution:
Given data:
A = 35°, b = 7, c = 9
Using cosine law,
Taking square root on both sides.
a ≈ 5.2
Using sine law,
Multiply by 7 on both sides.
Switch the sides.
Sin B = 0.772
B ≈ 50°
Sum of all the angles of a triangle = 180°
A + B + C = 180°
35° + 50° + C = 180°
85° + C = 180°
C = 180° - 85°
C = 95°
Hence a ≈ 5.2, B ≈ 50°, C ≈ 95°.
To plot more the points, we move up one and right two.
<h3>How to plot more the points?</h3>The ratios are given as:
(1, 0.5), (2, 1), and (5, 2.5)
Calculate the slope (m) using:
So, we have:
Evaluate
This gives
The above means
Vertical : Horizontal = 1 : 2
This means a vertical movement of 1, followed by an horizontal movement of 1
Hence, to plot more the points, we move up one and right two.
Read more about equivalent ratios at:
#SPJ1
Complete question
Three equivalent ratios are shown on the graph. On a coordinate plane, points (1, 0.5), (2, 1), and (5, 2.5) are plotted. Starting on one of the plotted points, how can you plot more equivalent ratio points?