Answer:
The part where the two rays meet is you solution
Step-by-step explanation:when graphing your solution, you are going to have two rays that will cross if there is one solution, that will be the solution. if they never meet, there is no solution to your problem, but if they are on top of each other, there are infinite solutions.
You convert the fraction to a decimal. Or vise versa
What is your math problem?
Answer:
The amount of fencing needed to surround the perimeter of the flower bed is 40 feet
Step-by-step explanation:
The picture of the question in the attached figure
step 1
Find the length side b
Applying the law of cosines
![c^2=a^2+b^2-2(a)(b)cos(C)](https://tex.z-dn.net/?f=c%5E2%3Da%5E2%2Bb%5E2-2%28a%29%28b%29cos%28C%29)
where
![c=13\ ft\\a=10\ ft\\C=50^o](https://tex.z-dn.net/?f=c%3D13%5C%20ft%5C%5Ca%3D10%5C%20ft%5C%5CC%3D50%5Eo)
substitute
![13^2=10^2+b^2-2(10)(b)cos(50^o)](https://tex.z-dn.net/?f=13%5E2%3D10%5E2%2Bb%5E2-2%2810%29%28b%29cos%2850%5Eo%29)
solve for b
![169=100+b^2-(20b)cos(50^o)](https://tex.z-dn.net/?f=169%3D100%2Bb%5E2-%2820b%29cos%2850%5Eo%29)
![b^2-[20cos(50^o)]b-69=0](https://tex.z-dn.net/?f=b%5E2-%5B20cos%2850%5Eo%29%5Db-69%3D0)
![b^2-12.86b-69=0](https://tex.z-dn.net/?f=b%5E2-12.86b-69%3D0)
solve the quadratic equation by graphing
The solution is b=16.9 ft
see the attached figure
step 2
Find the perimeter of triangle ABC
![P=AB+BC+AC](https://tex.z-dn.net/?f=P%3DAB%2BBC%2BAC)
substitute the given values
![P=13+10+16.9=39.9\ ft](https://tex.z-dn.net/?f=P%3D13%2B10%2B16.9%3D39.9%5C%20ft)
Round to the nearest foot
![P=40\ ft](https://tex.z-dn.net/?f=P%3D40%5C%20ft)
therefore
The amount of fencing needed to surround the perimeter of the flower bed is 40 feet