Answer:
5 months
Step-by-step explanation:
Equation A: 15+30x
Equation B: 35x
In 5 months Gym a will cost 15+30(5) or $175 and Gym B will also cost $175.
Basically all you have to do is apply reasonable numbers until you find out where the costs will meet up.
You can draw a diagram of the situation, representing it by a right triuangle.
In the right triangle the hypotenuse is the distance indicated by the radio signal, 1503 m, and the angle is 41°.
The opposed leg to 41° is the height of the ballon.
Then you can use the sine trigonometric function.
sine (41°) = opposed leg / hypotenuse = x / 1503 m => x = 1503m * sine(41°)
=> x = 986m.
Answer: 986m
The point of intersection is the midpoint of the diagonal. The diagonals of a rectangle are the same length. These relationships tell you
2*AE = DB
2*(4x-12) = 7x-18 . . . . . substitute the given information
8x -24 = 7x -18 . . . . . . .eliminate parentheses
x - 24 = -18 . . . . . . . . . .subtract 7x
x = 6 . . . . . . . . . . . . . . . add 24
The value of x is 6.
