Answer:
(-1,-1)
Step-by-step explanation:
If you multiply the x and y points of A, (-3,-3), by 1/3 then you find: (-1,-1).
What I did is to add 0.52
+0.15
then try to find what could equal the same amount with 0.52
Answer:
1, yes add one, 2, no, 3, yes, you add 10. 4, no, 5, yes, you add 2.
Step-by-step explanation:
1 add one, 3 add 10 5 add 2.
Your welcome :)
Using the Sine rule,
![\frac{\sin A}{A}=\frac{\sin B}{B}=\frac{\sin C}{C}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csin%20A%7D%7BA%7D%3D%5Cfrac%7B%5Csin%20B%7D%7BB%7D%3D%5Cfrac%7B%5Csin%20C%7D%7BC%7D)
![\begin{gathered} \text{Let A = 14m,} \\ Substituting the variables into the formula,Where the length of the wires are, AP = xm and BP = ym[tex]\begin{gathered} \frac{\sin80^0}{14}=\frac{\sin40^0}{x} \\ \text{Crossmultiply,} \\ x\times\sin 80^0=14\times\sin 40^0 \\ Divide\text{ both sides by }\sin 80^0 \\ x=\frac{14\sin40^0}{\sin80^0} \\ x=9.14m \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BLet%20A%20%3D%2014m%2C%7D%20%5C%5C%20Substituting%20the%20variables%20into%20the%20formula%2C%3Cp%3EWhere%20the%20length%20of%20the%20wires%20are%2C%20AP%20%3D%20xm%20and%20BP%20%3D%20ym%3C%2Fp%3E%5Btex%5D%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%5Csin80%5E0%7D%7B14%7D%3D%5Cfrac%7B%5Csin40%5E0%7D%7Bx%7D%20%5C%5C%20%5Ctext%7BCrossmultiply%2C%7D%20%5C%5C%20x%5Ctimes%5Csin%2080%5E0%3D14%5Ctimes%5Csin%2040%5E0%20%5C%5C%20Divide%5Ctext%7B%20both%20sides%20by%20%7D%5Csin%2080%5E0%20%5C%5C%20x%3D%5Cfrac%7B14%5Csin40%5E0%7D%7B%5Csin80%5E0%7D%20%5C%5C%20x%3D9.14m%20%5Cend%7Bgathered%7D)
Hence, the length of wire AP (x) is 9.14m.
For wire BP (y)m,
Sum of angles in a triangle is 180 degrees,
![A^0+P^0+B^0=180^0](https://tex.z-dn.net/?f=A%5E0%2BP%5E0%2BB%5E0%3D180%5E0)
![\begin{gathered} \text{Where A}^0=\text{ unknown,} \\ P^0=80^0\text{ and,} \\ B^0=40^0 \\ A^0+80^0+40^0=180^0 \\ A^0+120^0=180^0 \\ A^0=180^0-120^0 \\ A^0=60^0 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BWhere%20A%7D%5E0%3D%5Ctext%7B%20unknown%2C%7D%20%5C%5C%20P%5E0%3D80%5E0%5Ctext%7B%20and%2C%7D%20%5C%5C%20B%5E0%3D40%5E0%20%5C%5C%20A%5E0%2B80%5E0%2B40%5E0%3D180%5E0%20%5C%5C%20A%5E0%2B120%5E0%3D180%5E0%20%5C%5C%20A%5E0%3D180%5E0-120%5E0%20%5C%5C%20A%5E0%3D60%5E0%20%5Cend%7Bgathered%7D)
Using the side rule to find the length of wire BP,
![\begin{gathered} \frac{\sin 60^0}{y}=\frac{\sin 80^0}{14} \\ \text{Crossmultiply,} \\ y\times\sin 80^0=14\times\sin 60^0 \\ \text{Didive both sides by }\sin 80^0 \\ y=\frac{14\times\sin 60^0}{\sin 80^0} \\ y=12.31m \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B%5Csin%2060%5E0%7D%7By%7D%3D%5Cfrac%7B%5Csin%2080%5E0%7D%7B14%7D%20%5C%5C%20%5Ctext%7BCrossmultiply%2C%7D%20%5C%5C%20y%5Ctimes%5Csin%2080%5E0%3D14%5Ctimes%5Csin%2060%5E0%20%5C%5C%20%5Ctext%7BDidive%20both%20sides%20by%20%7D%5Csin%2080%5E0%20%5C%5C%20y%3D%5Cfrac%7B14%5Ctimes%5Csin%2060%5E0%7D%7B%5Csin%2080%5E0%7D%20%5C%5C%20y%3D12.31m%20%5Cend%7Bgathered%7D)
Hence, the length of wire BP (y) is 12.31m
Therefore, the length of the wires are (9.14m and 12.31m).