• Q : Problem on metric space proofs....
    Mathematics :

    Given the metric space (X, p), prove that |p(x, z) - p(y, u)| < p(x, y) + p(z, u) (x, y, z, u is an element of X);

  • Q : Studying about tessellations....
    Mathematics :

    Find (and describe) all the regular tessellations of the plane. Note that septagons, nonagons, and 11-gons are not provided.

  • Q : Finding similar triangles....
    Mathematics :

    Forest rangers use degree measures to identify directions and locate critical spots such as fires.

  • Q : Problem on pythogorean theorem....
    Mathematics :

    Suppose you travel north for 65 kilometers then travel east 75 kilometers. How far are you from the starting point?

  • Q : Problem on tangent function....
    Mathematics :

    A patient is being treated with laser therapy to remove a tumour that is located behind a vital organ. The tumor is 5.7 cm below the skin.

  • Q : Math problem solving strategies....
    Mathematics :

    Discuss how these strategies and processes encourage students to persist through difficult problems.

  • Q : Finding area of parallelogram and rectangle....
    Mathematics :

    The preferred seating area of a music theater has a base that measures 34 yd and a height of 39.6 yd.

  • Q : Deriving distance formula....
    Mathematics :

    Explain how to derive the distance formula (assuming that the distance formula is not yet known), first in 2 dimentional and then in 3 dimentional.

  • Q : Problem on equilateral triangle....
    Mathematics :

    Let's say you hgave an area with 100 feet of fence. Two configurations were a circle and a rectangle.

  • Q : Finding maximum area....
    Mathematics :

    An isosceles triangle has two equal sides of length 10cm. Let theta be the angle between the two equal sides.

  • Q : Finding area of shaded region....
    Mathematics :

    Find the area of the shaded region on the following geoboard if the unit of measurement is 1 cm2.

  • Q : Problem on koch snowflake....
    Mathematics :

    Start by drawing an equilateral triangle: we will call this T1 as it is the first step in the process.

  • Q : Relation between triangle centroid and orthocenter....
    Mathematics :

    How would you explain the difference between angle-angle-side, angle-side-angle, and side-angle-side to a classmate who thinks the letters look alike?

  • Q : Finding triangles with integer sides....
    Mathematics :

    Find five triangles with integers sides (without no commun divisors) such that the median AD from angle A to side BC is m(a) = b + c - a.

  • Q : Problem on shape combinations....
    Mathematics :

    Draw 3 different shapes, then draw a shape you can make by combining the 3 shapes.

  • Q : Finding area of a triangle....
    Mathematics :

    Angles PQR and ABC are supplementary angles, and angle PQR is nine times as large as angle ABC. Determine the measure of each angle.

  • Q : Finding the coordinates....
    Mathematics :

    Construct the quadrature of 3 squares. Let a = 3 be a line segment that extends along the y-axis from the origin O to the point B at (0,3).

  • Q : Pascals triangle and binomial theorem....
    Mathematics :

    Use Pascal's triangle to expand (x + y)6 How is the sum of the entries in row 5 in Pascal's triangle related to powers of 2?

  • Q : Problem on building a ski-ramp....
    Mathematics :

    Write an inequality in the variable x for the degree measure of the smallest angle of a triangle given that the degree measure of the smallest angle.

  • Q : Studying laws of sines....
    Mathematics :

    Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle.

  • Q : Finding angle and length of a post....
    Mathematics :

    A 5 foot post is supposed to be vertical, but it is 4 inches out of alignment at the top. What is the angle of lean, round to the nearest tenth of a degree?

  • Q : Finding the centroid of a triangle....
    Mathematics :

    Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians, which is the point that lies one-third of the way.

  • Q : Non-euclidean geometry on a sphere....
    Mathematics :

    Suppose instead of working on the Euclidean plane we study geometry on a sphere in (Euclidean) three space.

  • Q : Finding sum of three angles....
    Mathematics :

    In a triangle the sum of the angles is 180 degrees. If Angle A is four times Angle B and Angle C is 27 degrees more than three times Angle A.

  • Q : Proving the existance of hyperbolic rectangle....
    Mathematics :

    The formal definition of a rectangle is a quadrilateral with four right angles therefore this figure does not exist in hyperbolic geometry.

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