Answer:
309
Step-by-step explanation:
5z-1, z=62
5(62)-1
310 - 1
309
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?
Answer:
(j-3)/3 =k
Step-by-step explanation:
j+2 = 3k+5
Solve for k
Subtract 5 from each side
j+2-5 = 3k+5-5
j-3 = 3k
Divide each side by 3
(j-3)/3 = 3k/3
(j-3)/3 =k
You can buy 2 green shirts for 23 dollars, so you have 7.1 dollars left! Or $7.10 left.
Answer: $10
Step-by-step explanation:
let x = the price of green fabric, then x+2 = blue fabric price
8x+5(x+2)=62
8x+5x+10=62
13x+10=62
13x=52
x=4
price of green fabric=$4
price of blue fabric=$6
4+6=$10
