Word Problem : Circumference, Revolutions and Distance Traveled

The wheels of a car have a 24-in. diameter. When the car is being driven so that the wheels make 10 revolutions per second, how far will the car travel in one minute?

Tire Durability and Diameter of Tires; Simplifying tan(x + 450 degrees); Difference Between Trigonometric Equations and Identities

You are interviewing for a position with an association representing the tire industry. The federal government mandates safety testing of all tires manufactured in the United States. Recently there has been concern that the rubber used in the tires could deteriorate while in store inventories. In September 2003, a safety group a ...continues

Geometry Proofs : Triangles, Bisectors and Midpoints

1- Given triangle as shown (infigure 241W) with AF = 1/4 AB, AE = 1/3 and BE Intersect CF = O (BE has ray bar on top and CF has distance bar on top) prove that AO hits BC At its midpoint. 2-use Ceva's theorem to prove that the internal bisectors of the angles of a triangle are concurrent (cevas theorem: given triangle ABC ...continues

Differential Geometry : Chain Rule and Differentiable Mappings

Chain Rule. Let M, N and Q be differentiable manifolds, and let φ : M —> N and N —> Q be differentiable mappings. Prove that .... or simply written ..... [Comment: To familiarize yourself with notations in Differential Geometry try to check the form that the above equality takes when you express the (differentials of th ...continues

Differential Geometry : Inverse Function Theorem, Isomorphisms and Diffeomorphisms

Inverse Function Theorem. Let M and N be differentiable manifolds, φ : M -> N a differentiable mapping and p Є M such that dφp : TM —> T(p)N is an isomorphism. Prove that is a local diffeomorphism at p; that is, there are neighborhoods U C M of p and V C N of p(p) such that φ : U —> V is a diffeomorphism. H ...continues

Prove : If 2 medians of a triangle are of the same length, then the triangle is isosceles.

1- prove or disprove by giving a counterexample: "If 2 medians of a triangle are of the same length, then the triangle is isosceles"

Parallelograms

(See attached file for full problem description) Please complete 17-24.

More Geometry

(See attached file for full problem description)

More & More Geometry

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Proof : Prove that a triangle is equilateral <=> its incenter equals its centroid.

Prove that a triangle is equilateral <=> its incenter equals its centroid.