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Triangles

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 Proofs Involving Triangles

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

Geometry : Hexagon and Football

1. Show the necessary steps for finding the length of each side of a regular hexagon if opposite sides from midpoint to midpoint are 18 inches apart. 2. Without cutting or destroying a football, how would you find the area and volume of a football. Include any necessary formulas and measurements to implement your idea.

Solving Triangles

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

Triangle Word Problem Using Bearings

A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.

Right Triangle

1. Find the length L from point A to the top of the pole. 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B is S 37°50' E. How far is the fire from B? 3. The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per seco

Solve the following five geometry problems

The Pythagorean Theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides, as shown in the diagram attached. See attached file for full problem description. Solve the following problems in a Word document. 1. A Little League team is building a backstop f

A Little League team is building a backstop for its practice field

A Little League team is building a backstop for its practice field. It is made up of two right angles as shown below. The backstop extends 24 feet 8 inches out in each direction and the center pole is 6.5 yards high. All sides of the backstop including base and the center pole are to be made of aluminum tubing. How many feet of

Geometry has many practical applications in everyday life

See attached file for full problem description. Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations

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.

Right triangle

For the right triangle, find the side length x. Round answer to nearest tenth. Base=x Side=14 Side=8

Proof involving equilateral triangle

I need to see a construction and proof. Let (triangle DEF) be equilateral triangle and Q is a point inside. Prove that the sum of the three distances from Q to each side is equal to the altitude DD'.

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.

Writing Functions from Word Problems

20. A wire 10 meters long is to be cut into two pieces. One piece will be shaped as an equilateral triangle, and the other piece will be shaped as a circle. a. Express the total area A enclosed by the pieces of wire as a function of the length x of a side of the equilateral triangle. b. What is the domain of A? c. Grap

Geometry Applications Word Problems

Geometry has many practical applications in everyday life. Estimating heights of objects, finding distances, and calculating areas and volumes are commonplace. One of the most fundamental theorems in geometry, the Pythagorean Theorem, allows us to make many of these calculations. The Pythagorean Theorem states that the square of

Length of the hypotenuse of the right triangle ABC

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

Solving Radical Equations and Finding Side of a Cube Given Volume

1) Solve the following equations. a) sqrt(x) - 1 = 4 b) sqrt(x^3) = 8 c) third root of x^2 = 4 2) Is sqrt(x^2) an identity (true for all values of x)? Answer: Explain your answer in this space. 3) For the equation x - sqrt(x) = 0, perform the following: a) Solve for all values of x that satisfies the equatio

Explain matrices and triangles

Researchers at the National Interagency Fire Center in Boise, Idaho coordinate many of the firefighting efforts necessary to battle wildfires in the western United States. In an effort to dispatch firefighters for containment, scientists and meteorologists attempt to forecast the direction of the fires. Some of this data can be

Word problem

(See attached file for full problem description) The area A of an equilateral triangle varies directly as the square of the length of a side. If the area of the equilateral triangle whose sides are of length 2 cm is (√3) cm2 , find the length s of an equilateral triangle whose area A is (√3)/4 cm2.

Geometry

(See attached file for full problem description with proper symbols) The area A of an equilateral triangle varies directly as the square of the length of a side. If the area if the equilateral triangle whose sides are of length 1 cm is (  3 ) / 4 cm 2 , find the length s of an equilateral triangle whose area A is