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Geometry
In triangle ABC E and F are two points on AC and AB such that EF is parallel to AC. Q is a point on AB such that AQ/FQ=30/13 . PQ is parallel to EF where P lies on CB . X is taken on extended EQ such that CX = 20.4 . Given CY/EY = XY/CY , PX= 15.6 , if angle YCE = 22.5 degrees what is angle PXQ ?
Geometry
Find the volume of a regular hexahedron if one of the diagonals of its faces is 8 square root 2 inches.
Geometry
A cork in the shape of a cylinder has a radius of 2cm a height of 5cm and weighs 2.5 grams. What is the volume of the cork? What is the corks density in grams per cubic centimeter? That is how many grams of cork are there per cubic centimeter?
Geometry
the peak of the mountain is 9,000 meters from the base. To climb up the side of the mountain it is 12,000 meters. how many meters deep is the radius of the mountain at its base?
Geometry
A solid object consists of a 4*4*4 cube with a 3*3*3 cube sticking out. Three corners of the 3*3*3 cube lie on the edges of the 4*4*4 cube.The same distance along each edge. What is the combined volume of this object?
Geometry
BACKSTORY: I need to collect 500 plant samples for strontium analysis. The samples are randomly distributed across a circular area with a radius of 300 kilometers. I have to do this in 30 days, so I want to be methodical.
REQUEST: Divide the circle into 30 regions of equal area using lines and/or arcs, NONE OF WHICH pass through the center of the circle. One wrinkle: I'd like each of the regions to have the highest compactness possible. That is, I'd like the average ratio of the area of the regions to the area of a circle having the same perimeter to be as close to 1:1 as possible.
DESIRED RESULT: An explanation of how to do this myself is good; a pdf of the solution is better!
REQUEST: Divide the circle into 30 regions of equal area using lines and/or arcs, NONE OF WHICH pass through the center of the circle. One wrinkle: I'd like each of the regions to have the highest compactness possible. That is, I'd like the average ratio of the area of the regions to the area of a circle having the same perimeter to be as close to 1:1 as possible.
DESIRED RESULT: An explanation of how to do this myself is good; a pdf of the solution is better!
Geometry
A rectangular piece of cardboard 18 in. by 23 in. is made into a box with an open top by
cutting a square of side 4 inches from each corner and folding up the sides. What is the
volume of the box in cubic inches?
cutting a square of side 4 inches from each corner and folding up the sides. What is the
volume of the box in cubic inches?
Geometry
Given a rectangular Parallelipiped with base a by b and altitude c. Find the area of the
section which contains two diagonally opposite edges of the parallelepiped.
section which contains two diagonally opposite edges of the parallelepiped.
Geometry
One side of an equilateral triangle is 18cm. The mud point of its sides are joined to form another triangle whose mid points, In turn are joined to form another triangle. The process is continued indefinitely. Find:
1. The sum of triangles' sides. 2. Perimeter of all the triangles. 3. Areas of all the triangles.
1. The sum of triangles' sides. 2. Perimeter of all the triangles. 3. Areas of all the triangles.
Geometry
PQRS is a Rhombus. m<PQS = (3x=10) and m<SQR = (x=40) Find m<QRS
