Answer: Choice C) 2
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Explanation:
Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5
Those approximate values of C round to
C = 29.05 and C = 150.95
If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number
If C = 150.95, then angle A is
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number
There are two distinct triangles that can be formed.
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate
The median is 8 and the mode is 6, therefore the difference between the median and the mode is 2
Answer:
49
Step-by-step explanation:
The answer is that the Width is equal to 10 and the length is equal to 36
The true statement is that only line A is a well-placed line of best fit
<h3>How to determine the true statement?</h3>
The scatter plots are not given. However, the question can still be answered
The features of the given lines of best fits are:
<u>Line A</u>
- 12 points in total
- Negative correlation
- Passes through the 12 points with 6 on either sides
<u>Line B</u>
- 12 points in total
- Positive correlation
- Passes through the 12 points with 8 and 4 in either sides
For a line of best fit to be well-placed, the line must divide the points on the scatter plot equally.
From the given features, we can see that line A can be considered as a good line of best fit, because it divides the points on the scatter plot equally.
Read more about line of best fit at:
brainly.com/question/14279419
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