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
Answer:
Step-by-step explanation:
x^2 - 10x + 29
x^2 - 10x = -29
x^2 -10x + 25 = -29 + 25
(x - 5)^2 = -4
(x - 5)^2 + 4 <==
You can determine if a number is rational if it can be represented as a terminating or repeated decimal, but if it can not, then the number is irrational.
1) local shopping mall
This is most relevant to spending habits. This would be where people would be spending money on a lot of different things and where their spending habits would show. It'd make the most sense to survey people there.
Segment PQ bisects the angle P, which means angle QPR has a measure of 21 degrees (which follows from the fact that triangles PQR and PQS are congruent and PR and PS are tangent to the circle).
This then means angle RQP has measure 90 - 21 = 69 degrees.
Angle Q is twice this, so it has measure 138 degrees.
