Using the Sine rule,

![\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,


Using the side rule to find the length of wire BP,

Hence, the length of wire BP (y) is 12.31m
Therefore, the length of the wires are (9.14m and 12.31m).
Answer:
Step-by-step explanation:
x1 y1 x2 y2
-2 -2 0 3
ΔY 5
ΔX 2
slope= 2 1/2
B= 3
Y =2.5X +3
Answer:
Step-by-step explanation:
You multiply by the reciprocal of 1/5 to make the equation 1/3*5/1 to get 5/3
if u dont know this *=multiplication
49^3/8
decimal form: 4.30351707
Answer:
46. <u>(3) 29</u>
47. <u>(1) y = -4x + 3</u>
48. <u>(3) 3</u>
49. <u>(3) -1/2</u>
50. <u>(4) 25x - 75</u>
Step-by-step explanation:
<u>Question 46</u>
- Let red marbles be 2x + 3 and black marbles be x
- 2x + 3 + x = 42
- 3x = 39
- x = 13
- No. of red = 2(13) + 3 = 29 marbles
- <u>(3) 29</u>
<u></u>
<u>Question 47</u>
- Parallel to a line means the slope is the same
- <u>(1) y = -4x + 3</u>
<u></u>
<u>Question 48</u>
- For the expression to be undefined, the denominator has to be 0
- x - 3 = 0
- x = 3
- <u>(3) 3</u>
<u></u>
<u>Question 49</u>
- Slope = -4 - 1 / 4 + 6
- Slope = -5/10
- Slope = -1/2
- <u>(3) -1/2</u>
<u></u>
<u>Question 50</u>
- Total = 25x
- Left 3 boxes at home = -3x = -3(25) = -75
- <u>(4) 25x - 75</u>