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Unit Conversions, Spheres and Cones

#1 in attachment the solid is made of gold worth $253.75 per ounce One cubic foot weighs 4 pounds. How much is the value of this gold figure? Be careful of the units of measure #3 in attachment Triangle ABC is an equilateral triangle with side of 12. A cone is formed by revolving that triangle above an altitude The lar

Similar Triangles

Surveying: Surveyors sometimes use similar triangles to measure inaccessible distances. A surveyor could find distance AB by setting up similar triangles ABC and EDC. Assuming all lengths may be directly measured to set up a proportion and solve for AB. 17. How does the surveyor make ABC similar to EDC? 18. Set up a prop

Finding Length of the Side of a Triangle

Given a=41degrees, B=101degrees, and a=30.1, approximate the length of side b in a triangle ABC. Given a=100degrees, B=30degrees, and c=110.3, approximate the length of side b in a triangle ABC.

Geometry : Triangle in a Cone

In the diagram attached, I have to show that: curly r-bar = sqrt(h^2 + curly-r squared - sqrt(2).h.curly-r). So far, I've only been able to come up with the obvious fact that: curly - r^2 = sqrt(h^2+h^2) = sqrt(2).h

Geometry : Medians of Triangle Proof

O is the intersection point of the medians of a triangle ABC. The medians are AD, BE, CF. what is the ratio of the area of triangle EOC to triangle ABC?

Geometry : Right Triangle Inscribed in a Circle

Using the diagram attached: 11. What is the measure of arc AC? 12. If ABC is a 30-60-90 triangle, with angle ACB at 30 degrees, and line segment AC is the diameter of the circle, then if the length of line segment AB is 4, what is the radius of the circle? 13. Working with the information from 12 from here to #16, what is

Arcs and chords of a circle.

Using the diagram at right: 1. If the diameter of circle M is 20, and the length of line segment DF is 12, what is the length of segment MJ? 2. If the measure of arc BFE is 80 degrees, then what is the measure of angle BME? 3. If there were an imaginary angle ACB, what would the measure of that angle be? (Hint: Remember that

Solutions to problems in geometry

See attached file for full problem description. 1. Use the figure below to find the following: 2. a) Find the complementary angle of 26 b) DEF and GHI are supplementary angles and GHI is fourteen times as large as DEF. Determine the measure of each angle

Solving for Geometry Word Problems

a. A certain wheel has a diameter of 98 inches. If that wheel travels for 108 revolutions, then. Questions: How many years has it gone? (use 22/7 for pi) b. A regular hexagon and an equilateral triangle are equal in area. The perimeter of the triangle is 36. Question: How long is one side of the hexagon? c. The base of

Areas and Perimeters of Triangles

28. Find the area and perimeter of an equilateral triangle whose altitude measures 6 cm. 29. If the area of an equilateral triangle is 100 sq cm, find the length of a side.

Find the area covered by the chemical retardant.

1) In mountain communities, helicopters drop chemical retardants over areas which approximate the shape of an isosceles triangle having a vertex angle of 38 degrees. The angle is included by two sides, each measuring 20 ft. Find the area covered by the chemical retardant. 2) The chemical retardants are freight shipped from

Geometry Problems: Solve the proofs in question 7 and question 8.

Geometry Problems: Solve the proofs in question 7 and question 8. Number 7: We are given that AE = DB, FG = CG, and angle FGE = angle CGD, and we want to prove that angle A = angle B. (Note: AE = DB not AE = BE.) Number 8: We are given that DB bisects angle ADC and angle 3 = angle 4, and we want to prove tha

Solving Triangles

Find all possible solutions for triangle ABC if A=55 degrees, a=12, and c=13

Surface Area Word Problem

A water tank has the shape of a cone. The tank is 10m high and has a radius of 3m at the top. If the water is 5m deep (in the middle) what is the surface area of the top of the water?

Triangle Inequality Theorem

Write a compound inequality to describe tha range of possible measures for side c in terms of a and b. Assume that a > b > c.

Construction and Geometry Proofs

1. I need to see a construction and proof. Given a quadrilateral EFGH so that all four sides are congruent to a circle. Prove that EF+GH=EH+FG 2. Prove that a perpendicular bisector of a chord in a circle is a diameter.

What is the length of the hypotenuse...

What is the length of the hypotenuse of the right triangle ABC in examination figure,if AC=6 and AD=5 note : draw a triangle A B C and the height from point C to D,the point D is in between A and B,the distance between A and D is 5 and the distance between A and C is 6