Given:
In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.
To find:
The measure of angle P.
Solution:
According to the Law of Cosines:
![\cos A=\dfrac{b^2+c^2-a^2}{2bc}](https://tex.z-dn.net/?f=%5Ccos%20A%3D%5Cdfrac%7Bb%5E2%2Bc%5E2-a%5E2%7D%7B2bc%7D)
Using Law of Cosines in triangle OPQ, we get
![\cos P=\dfrac{o^2+q^2-p^2}{2oq}](https://tex.z-dn.net/?f=%5Ccos%20P%3D%5Cdfrac%7Bo%5E2%2Bq%5E2-p%5E2%7D%7B2oq%7D)
![\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}](https://tex.z-dn.net/?f=%5Ccos%20P%3D%5Cdfrac%7B%28700%29%5E2%2B%28620%29%5E2-%28840%29%5E2%7D%7B2%28700%29%28620%29%7D)
![\cos P=\dfrac{490000+384400-705600}{868000}](https://tex.z-dn.net/?f=%5Ccos%20P%3D%5Cdfrac%7B490000%2B384400-705600%7D%7B868000%7D)
![\cos P=\dfrac{168800}{868000}](https://tex.z-dn.net/?f=%5Ccos%20P%3D%5Cdfrac%7B168800%7D%7B868000%7D)
On further simplification, we get
![\cos P=0.19447](https://tex.z-dn.net/?f=%5Ccos%20P%3D0.19447)
![P=\cos^{-1}(0.19447)](https://tex.z-dn.net/?f=P%3D%5Ccos%5E%7B-1%7D%280.19447%29)
![P=78.786236](https://tex.z-dn.net/?f=P%3D78.786236)
![P\approx 79](https://tex.z-dn.net/?f=P%5Capprox%2079)
Therefore, the measure of angle P is 79 degrees.
Answer:
180 hours
Step-by-step explanation:
24 hrs in a day
5/6 of 24 is 20 and multiply it by 9 because there are 9 days
=180
Answer:
I think it is option B
Step-by-step explanation:
I dont know if I am right
if I am your welcome
Answer:
Graphing
Step-by-step explanation:
1) You can graph this equation by using y=mx+b. You can replace that equation with y=3x-1.
M=3
X=x
B=-1
On a graph you would down 1 since it's negative and make a point. Then you would put a 1 under the 3 to make it a fraction. 3/1. Then you would divide 1 by 3 (1 ÷ 3). Then you would go to the right 0.33 because it's positive, and the up 1. Then you would make a second point.
This would only give you one line which wouldn't give you an intersection.