Mathematics Homework Solutions

What percent of the rectangular prism is outside of the triangular prism.

AEF is a triangle , ABCD is a rectangle AB = 6 AE= 10 AD = 11 EF = 5 AF = 5 sq.rt. 5 The attached picture is the base of a right prism - a triangular prism inside of a rectangular prism. Both prisms are 20 in height. What percent of the rectangular prism is outside of the triangular prism.

Cycloid Geometry

The circle has a radius of 8. As the circle rolls along the line, the point P (a pencil point) draws a curve. a) Draw the curve for three complete revolutions of the circle. b) Find the area between the curve (one loop) and the line. c) Find the length of the curve - all three loops.

the attached rolling circle

Here the rolling circle is rolling along inside and tangent to a fixed circle. a) Draw the curve which is traced by P as the rolling circle goes all of the way around the inside of the fixed circle. Assume R=3r. c) Determine the related curves under these conditions: 1)Epicycloid with R=r 2)Epicycloid with R=2r 3) Epicyc ...continues

Brachistrochrome Problem

What is it's origin? State the problem with picture Explain how the cycloid relates to the solution.

Basic Coordinates and Geometry

Determine algebraically what type of quadrilateral ABCD is given that the vertices p(-8, 4), q(3,7),r(6,-4),s(-5,-7).

Basic Coordinates and Geometry

Determine the length of pipe that a gas company will need to connect a house which is situated at the point (-6,8) to a gas line whose equation is y=-3x+2.

Basic Coordinates and Geometry

Find the diameter of the largest circular pond that could fit in a triangular garden with vertices at (18,54), (-27,36), and (27,-18), where a unit reprsents 1m.

The Shutter Problem

A rectangle window is framed by two rectangular shutters. The window is twice as tall as it is wide. The shutters are as tall as the window, and their widths are 24 cm. less than their heights. The combined areas of the shutters total the same as the area of the window. Find the heights. The combined areas of the shutters total ...continues

Geometric Proof

OK I have no Idea how to do this proof.. I took a test on this section and did horribly.... The problem is this 1.Given: B is the midpoint of AC Bd is perp. to AC Prove Triangle ADC is isosceles (hint: first prove triangle CBD is congruent to triangle ABD The second part uses to same diagram Given DB is ...continues

The Pythagorean theorem

AB ll ED. Suppose that AC=12,AE=9, and BC=15 find CD. I set it up like this 12/9 =x/15 I got it wrong and am lost on how to do this The Second part of the probelm was like this It is given that TRIANGLE RST ~XYZ(not shown). If RS=10,ST=12,RT=16,and Xy=6, Find xz( I drew this out and couldnt find a common patter ...continues

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