In the main lobby of the hotel, there is a circular hospitality area that also rotates. The radius of the hospitality area is 3 m. The distance from the front door, at point A, to the far side of the hospitality area, at point C, is 20 m. At a certain moment the dessert bar is located at point B and the tourist information desk is located at point E. B, E 6. Assuming AB and AE are tangent to the circle, find CD and AD. Explain how you arrived at your answers.

Q: A blimp is suspended in the air at a height of 500 feet. It is directly over a line connecting…

A: A blimp is suspended in the air at a height of 500 feet. It is directly over a line connecting…

Q: ). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from…

A: Solution

Q: Find the point(s) of intersection of two circles, one centered at the origin and, the other,…

A:

Q: Find the angle formed by the line 3x+4y-12=0 with the x-axis.

A: Angle of the line along x-axis

Q: Each of two tangents to the circle x² + y² = 25 has a slope 2. Find the points of contact.

A:

Q: G

A: We can find the answer as below

Q: Find the distance between the following two points: (0, -2) and (-5, -1) O 5 O 21 O 26 O 11

A: Distance formula: Distance between two points P(x1,y1) and Q(x2,y2) is given by: d(P, Q) = √ (x2 −…

Q: Find the angle at which the circles x2 +y2 +x+y=0 and x2 +y2 +x-y=0 intersect.

A: The angle of intersection of the two circles is given by cosθ=r12+r22-C1C22r1r2where r1 and r2 are…

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.