Answer:
C ≈ 22.1°
Step-by-step explanation:
The law of cosines formula is given. Solving it for C, we find ...
C = arccos((a^2 +b^2 -c^2)/(2ab))
where a and b are the sides adjacent to the angle.
Then we have ...
C = arccos((14^2 +19^2 -8^2)/(2·14·19)) = arccos(493/532)
C ≈ 22.1°
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If you have a fair number of these to do, a spreadsheet is a useful tool. There are also triangle solver apps on the web or your local smart platform that will do this, too.
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Answer:
Step-by-step explanation:
The volume of a prism is given by the following equation:
In our case, the base is a triangle, so the area is given by:
The base of the triangle is 43 cm, the height of the triangle is b, the height of the prism is 24 and the volume of the prism is 38,184, so we have:
Answer:
2120 mm
Step-by-step explanation:
→ Convert 2.12 metres into centimetres
2.12 × 100 = 212 cm
→ Multiply by 10 to get into mm
212 × 10 = 2120 mm
Answer:
The slopes are m=3 and m=-2
There is only one solution
Step-by-step explanation:
