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:30N
Step-by-step explanation:
Mass=5kg
Acceleration=6m/s^2
Force =mass x acceleration
Force =5 x 6
Force=30N
5/10 kilogram per 1/6 minutes = 5/10 * 6 = 30/10 = 3 kilograms/min
3 kilograms/min * 60 min/hour = 180 kilograms/hour
180 kilograms/hour * 24 hours/day = 4320 kilograms/day
4320 kilograms/day * 365.25 days/year = 1,577,880 kilograms/year
Answer: 1/4 of 70,000,000
Step-by-step explanation: 17,500,000 / 70,000,000 = 0.25