Step-by-step explanation:
The ladder forms a triangle with the wall and ground.
The side of the triangle opposite of the 60° angle is 4 feet.
To find the length of the ladder (the hypotenuse), use sine.
sine = opposite / hypotenuse
sin 60° = 4 / L
L = 4 / sin 60°
L = 4 / (√3 / 2)
L = 8 / √3
L = 8√3 / 3
L ≈ 4.619 feet
To find the distance from the wall, use tangent.
tangent = opposite / adjacent
tan 60° = 4 / x
x = 4 / tan 60°
x = 4 / √3
x = 4√3 / 3
x ≈ 2.309 feet
Answer:
p - 14.5 = 53
p = 67.5
Step-by-step explanation:
53 + 14.5 = 67.5
Circumscribed circle for a triangle is circle where the circumference would cut all the vertices in the triangle
the diagram already has arcs marked from point Y, with the aim of drawing a perpendicular bisector to line XY.
Therefore the next step is to place the compass on point X and draw two arcs which cross the arcs already drawn (second option is the correct answer)
The points at which the 2 arcs meet are connected to each other making a perpendicular bisector that would cut XY perpendicularly.
Next step is to place the compass at Z and draw 2 arcs between Z and Y points, similarly place the compass at Y and draw 2 arcs that would cut the arcs already drawn.
Then connect the two points where the arcs meet and thats the perpendicular bisector of ZY.
The point at which perpendicular bisectors of XY and YZ meet is known as the circumcenter. Place the compass on this point with the radius any of the three points X,Y or Z and draw the circle
Wheres the rest of the problem? or is this it?
<span>(4x-2)×6(2x+7) =
</span>
(4x-2) <span>× 12x + 42 =
48x^2 -24x + 168x -84 = 0
</span>
<span>48x^2 +144x -84 = 0
a = 48 b = 144 and c = -84
and the solution is
x1=.5 and x2=-3.5
</span>