When you make a drawing with the instructions, and call x the altitude of the plane and y the distance from the angle 72 ° to the point straight below the plane, you obtain these equations
tan(55°) = x / (2.2 + y)
tan (72°) = x / y
You solve y from the second equation
y = x / tan(72°)
Substitute y in the first equation
tan (55°) = x /(2.2 + x/tan(72°)
Solve for x:
x = tan(55)[2.2 + x/tan(72) ]
x = tan(55) (2.2) + x tan(55)/tan(72)
x - x tan (55)/tan(72) = 2.2 tan (55)
Now substitute the values of the tangents
tan (55) = 1.4281
tan(72) = 3.0777
x - 0.464x = 3.1419
x = 3.1419 / (1-0.464) =5.86 m
Ah ... it is a toy plane! I guess.
Answer: x=6 and y = -4 and x= -1 and y=3
Step-by-step explanation:
Your two equations are y = -x + 2
and y=x^2 -6x + 8
Subsituting y=-x+2, we get
-x + 2 = x^2 -6x + 8
x^2 -5x +6 = 0
Solving by the quadratic formula gives,
(5+/- sqrt(25+24))/2
Thus, the two solutions are 6, and -1.
So x=6
y= -4 and
x=-1
y= 3
Answer:
57 degrees
Step-by-step explanation:
Angle Ad is 123 and since it's on the same line it adds up to 180 180-123=57
Hence It will take 12.88 years for the account value to reach 17600 dollars.
Answer:
A. function 1
Step-by-step explanation: