Answer:
PQ = ![PM\cos MPQ + MQ\cos MQP=2PM\cos MQP](https://tex.z-dn.net/?f=PM%5Ccos%20MPQ%20%2B%20MQ%5Ccos%20MQP%3D2PM%5Ccos%20MQP)
Step-by-step explanation:
given MQR = 60, PQR = 75
MQP = 75 -60= 15![QR = ((18(1+\cos 30))^{2}-(2\cos 15)^{2})^{\frac{1}{2}}](https://tex.z-dn.net/?f=QR%20%3D%20%28%2818%281%2B%5Ccos%2030%29%29%5E%7B2%7D-%282%5Ccos%2015%29%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
WE KNOW THAT MQR +QRM +QMR = 180
MPQ = MQP AS ANGLE OPPOSITE TO EQUAL SIDES ARE EQUAL
THEREFORE QMR = 90 - 60 = 30
therefore PQM = 75 - 60 = 15
PM = PQ because M is the mid point
therefore PR = PM + ![MQ\cos QMR](https://tex.z-dn.net/?f=MQ%5Ccos%20QMR)
PR = ![18(1+\cos 30)](https://tex.z-dn.net/?f=18%281%2B%5Ccos%2030%29)
![QR = (PR^{2}-PQ^{2}))^{\frac{1}{2}}](https://tex.z-dn.net/?f=QR%20%3D%20%28PR%5E%7B2%7D-PQ%5E%7B2%7D%29%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)
PQ = ![PM\cos MPQ + MQ\cos MQP=2PM\cos MQP](https://tex.z-dn.net/?f=PM%5Ccos%20MPQ%20%2B%20MQ%5Ccos%20MQP%3D2PM%5Ccos%20MQP)
95 times 2 is 190.
90 times 2 is 180, and 5 times 2 is 10.
180 + 10 = 190.
Answer:
2.4
Step-by-step explanation:
8.4/7=1.2
1.2x2=2.4
Answer:
32 books.
Step-by-step explanation:
What do we know?
As Olive continues this pattern, this will involve multiplication.
4 books per month and 8 months.
4*8=32 books.
So, Olive will read 32 books within 8 months.