What is the minimum number of triangles needed to construct a hexagon?
2 answers:
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Answer:
Step-by-step explanation:
We have been given that are two racks with 40 towels per rack. On Tuesday there were 30, on Wednesday 50 and on Thursday 25. We are asked to find the fraction on average that is in use for the three days.
First of all, we will find total number of towel by multiplying 40 by 2.
Now we will find average number of towels used on three days.
Now we need to calculate 35 is what part of 80 to find the fractional use of towels per day as:
Therefore, on average is in use for the three days.
Sine law to find angle R
![\displaystyle \frac{\sin R}{122}= \frac{\sin 64}{187.5} \\ \\ \sin R = \frac{122\sin 64}{187.5} \\ \\ R = \sin^{-1} \left[ \frac{122\sin 64}{187.5} \right] \\ \\ R \approx 35.7899447211](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B%5Csin%20R%7D%7B122%7D%3D%20%5Cfrac%7B%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0A%5Csin%20R%20%3D%20%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5C%5C%20%5C%5C%0AR%20%3D%20%5Csin%5E%7B-1%7D%20%5Cleft%5B%20%5Cfrac%7B122%5Csin%2064%7D%7B187.5%7D%20%5Cright%5D%20%5C%5C%20%20%5C%5C%0AR%20%5Capprox%2035.7899447211)
All angles in triangle add to 180 so we can find angle P
P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789
sine law with angle P to find length of RQ
or use cosine law
either way the answer is 205.57 feet
All angles in triangle add to 180 so we can find angle P
P = 180 - R - Q
P = 180 - 35.7899447211 - 64
P = 80.2100552789
sine law with angle P to find length of RQ
or use cosine law
either way the answer is 205.57 feet