Let the number be x,
(1/2)x=1+(1/3)x
Solving for x,
(1/2)x-(1/3)x=1+(1/3)x-(1/3)x
(1/2)x-(1/3)x=1
(1*3/6)x-(1*2/6)x=1
(3/6)x-(2/6)x=1
(1/6)x=1
6*(1/6)x=6*1
Therefore, x=6
Interesting problem ...
The key is to realize that the wires have some distance to the ground, that does not change.
The pole does change. But the vertical height of the pole plus the distance from the pole to the wires is the distance ground to the wires all the time. In other words, for any angle one has:
D = L * sin(alpha) + d, where D is the distance wires-ground, L is the length of the pole, alpha is the angle, and 'd' is the distance from the top of the (inclined) pole to the wires:
L*sin(40) + 8 = L*sin(60) + 2, so one can get the length of the pole:
L = (8-2)/(sin(60) - sin(40)) = 6/0.2232 = 26.88 ft (be careful to have the calculator in degrees not rad)
So the pole is 26.88 ft long!
If the wires are higher than 26.88 ft, no problem. if they are below, the concerns are justified and it won't pass!
Your statement does not mention the distance between the wires and the ground. Do you have it?
The answer is b because you have 4 queens in a deck of cards and 13 clubs in a deck so if you add them you would get 17/52 cards
0.3(x - 2y) + 0.5x - y
0.3x - 0.6y + 0.5x - y
(0.3x + 0.5x) + (-0.6y - y)
0.8x + 1.6y
This means the answer is B.
Feel free to ask me any questions about method of solving in the comments :)
Answer:
≈11.4
Step-by-step explanation:
We know that, Ryan lives 2 blocks west and 5 blocks south of Devin
=> Coordinate of Ryan: (-2,-5). Because:
- 2 blocks west = 2 unit to the left = -2
- 5 blocks south = 5 unit go down= -5
Andy lives 7 blocks east and 2 block north of Devin.
=>Coordinate of Andy: (7,2), because:
- 7 blocks east = 7 unit ti the right = 7
- 2 block north = 2 unit go up = 2
Hence, to find out the distance of Ryan and Andy, we use distance formula as below:
≈11.4