Answer:
- A) A = 27.3°, B = 56.1°, C = 96.6°
Step-by-step explanation:
<u>Use the Law of Cosines:</u>
- A = arccos [(b² + c² - a²)/(2bc)] = arccos [(13.2² + 15.8² - 7.3²)/(2*13.2*15.8)] = 27.3°
- B = arccos [(a² + c² - b²)/(2ac)] = arccos [(7.3² + 15.8² - 13.2²)/(2*7.3*15.8)] = 56.1°
- C = 180° - (A + B) = 180° - (27.3° + 56.1°) = 96.6°
Correct choice is A.
Answer:
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
- Linear equations are typically organized in slope-intercept form: where <em>m</em> is the slope and <em>b</em> is the y-intercept
- Parallel lines always have the same slope (<em>m</em>)
<u>Determine the slope (</u><em><u>m</u></em><u>):</u>
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The slope of the given line is , since it is in the place of <em>m</em> in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be . Plug this into y=mx+b:
<u>Determine the y-intercept (</u><em><u>b</u></em><u>):</u>
To find the y-intercept, plug in the given point (6,14) and solve for <em>b</em>:
Therefore, the y-intercept of the line is 22. Plug this back into :
I hope this helps!
Your answer is 28.
If the equation is in an absolute value, you do the operation like normal and then take the positive version of the number because an absolute value is just how far on a number line the number is from zero and distance cannot be measure in negative numbers.
Basically you canceling out and your answer is R= 1/2