Answer:
x = -4/45
Step-by-step explanation:
180x=2(30÷3)+17-5•11+2÷1
We need to simplify the right hand side. The first step is the parentheses
180x=2(10)+17-5•11+2÷1
Then multiply and divide, working left to right from the equals sign.
180x=20+17-5•11+2÷1
180x=20+17-55+2÷1
180x=20+17-55+2
Now we add and subtract working left to right from the equals sign.
180x=37-55+2
180x =-18+2
180x = -16
Divide each side by 180
180x/180 = -16/180
x = -4/45
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?
Paige is ahead of kate. It dosen't say she is behind anyone or last in the line. Carlos is not first in line. Kate cannot be first because someone is ahead of her. And lisa is last. So the answer is definitely paige. Hope i helped. Have a nice day.
Answer:
how many balloons did she get
Step-by-step explanation:
Given:
A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5.
To find:
The coordinates of that point.
Solution:
Section formula: If point divides a line segment in m:n, then the coordinates of that point are
A point divides a directed line segment from (-6, -3) to (5,8) into a ratio of 6 to 5. Using section formula, we get
Therefore, the coordinates of the required point are (0,3).
