9514 1404 393
Answer:
5. 88.0°
6. 13.0°
7. 52.4°
8. 117.8°
Step-by-step explanation:
For angle A between sides b and c, the law of cosines formula can be solved to find the angle as ...
A = arccos((b² +c² -a²)/(2bc))
When calculations are repetitive, I find a spreadsheet useful. It doesn't mind doing the same thing over and over, and it usually makes fewer mistakes.
Here, the side opposite x° is put in column 'a', so angle A is the value of x. The order of the other two sides is irrelevant.
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<em>Additional comment</em>
The spreadsheet ACOS function returns the angle in radians. The DEGREES function must be used to convert it to degrees. The formula for the first problem is shown here:
=degrees(ACOS((C3^2+D3^2-B3^2)/(2*C3*D3)))
As you can probably tell from the formula, side 'a' is listed in column B of the spreadsheet.
The spreadsheet rounds the results. This means the angle total is sometimes 179.9 and sometimes 180.1 when we expect the sum of angles to be 180.0.
Answer:
m/_2 = 127°
m/_4 = 127°
m/_1 = 53°
m/_3 = 53°
Step-by-step explanation:
angle 2 and 4 are the same in the diagram.
to get angle 1 and 3 i did:
127°×2°=254°
360°-254°=106°
106°÷2°=53°
The answers are:
B; (225)(0.15) and E; 225 - [(225)(0.85)] Hope this helps!
Answer:
81
Step-by-step explanation:
Take half of the x-term coefficient, and square it.
Half of 18 is 9.
9² = 81
Answer: 81