2/3 x * x = 864
(2/3) x^2 = 864
x^2 = 864 * (3/2) = 1296
x = + sqrt 1296 = 36
length is 36 feet
Answer:
The answer to your question is the letter D) 46°
Step-by-step explanation:
Data
length = 25 ft
Opposite side = 18 ft
Angle = Ф
To solve this problem, use trigonometric functions. The trigonometric function that relates the Opposite side and the hypotenuse is sine.
Sin Ф = Opposite side / hypotenuse
-Substitution
sin Ф = 18/25
-Simplification
sin Ф = 0.72
-Result
sin⁻¹ Ф = 0.72 = 46°
Group like terms
1.7m^2+2.5m^2-4n-n+6.5
4.2m^2-5n+6.5
Perpendicular means that the slope of one line is the opposite reciprocal of the other; bisector means that the line that is perpendicular is cutting the other one exactly in half. So we have to find 2 things about BC: the first is the midpoint which will then serve as the x and y coordinates in our new equation, and second is the slope of it. First things first: the midpoint formula is this:

. Using our coordinates we fill in that formula like this:

which of course gives us a midpoint of (7, 6). Now for the slope of the line BC:

. But since we need the perpendicular slope of that we will take its opposite reciprocal which is 1/2. Now use the x and y coordinates of the midpoint and that newly found slope and write your equation to solve for b.

. Solving that for b gives you that b = 5/2. So the equation of the line that is the perpendicular bisector of BC (drum roll, please...) is