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    Geometric Shapes

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    Work, Scalar Projection and Diagonal of a Cube

    46. Find the work done by a force of 20 lb acting in the direction N50°W in moving an object 4 ft due west. 49. Use a scalar projection to show that the distance from a point P1(x1, y) to the line ax + by + c = 0 is... Use this formula to find the distance from the point (?2, 3) to the line 3x ? 4y + 5 = 0. 50. Find the angl

    Equation of a Sphere: Three-dimensional space

    14. Find an equation of the sphere that passes through the origin and whose center is (1, 2, 3). 19. (a) Prove that the midpoint of the line segment from P1(x1, y1, z1) to P2(x2, y2, z2) is (((x1 + x2)/2), ((y1 + y2)/2), ((z1 + z2)/2)) (b) Find the lengths of the medians of the triangle with vertices A(1, 2, 3), B(-2, 0

    Triangluar Array

    The positive integers are written in a triangular array as shown. in what row is the number 1000? 1 23 456 78910 11...

    Word problem:

    Betty observed that the lamp post in front of her house casts a shadow of length 8 feet when the angle of inclination of the sun is 60 degrees. How tall is the lamp post?(In a 30-60-90 right triangle, the side opposite 30 is one-half the length of the hypotenuse.)

    Tangents, Nautical Miles and Polar Coordinates of a Nonagon

    1. Consider the graph of y = tan x. (a) How does it show that the tangent of 90 degrees is undefined? (b) What are other undefined x values? (c) What is the value of the tangent of angles that are close to 90 degrees (say 89.9 degrees and 90.01 degrees)? 2. A nautical mile depends on latitude. It is defined as length o

    Smallest Angles/Pounds Measures

    A right triangle has one angle that measures 90 degree. If one of the acute angles is 2 times the size of the other, what is the measure of the smallest angle? Explain your answer. The cake recipe calls for 14 ounces of cream cheese. How much of the cream cheese will be left over? Show your answer in pounds and ounces.

    Pipe Diameter Questions

    6. A V-gauge is used to find the diameters of pipes. In the figure on p. 373 in the text, the measure of angle AVB is 54°. A pipe is placed in the V-shaped slot and the distance VP is used to predict the diameter. a.Suppose that the diameter of a pipe is 2 cm. What is the distance VP? b.Suppose that the distance VP is 3.

    Practice problem help

    (See attached file for full problem description with equations and diagram) --- show all calculations and graphical representations used. 1. Find the length L from point A to the top of the pole. (see diagram in attachment) 2. Lookout station A is 15 km west of station B. The bearing from A to a fire directly south of B

    Dimensions of a Courtyard and Perimeter of a C-shaped Building

    Three buildings are connected together as one. One section is 9'2", another is 45'8" x 16'3" and the last one is 18'9" x 15'8". (The shape is a backward square letter c). What are the dimensions of the courtyard and what is the perimeter of the building?

    Radius of a Circle and Lengths of Arcs

    1.If an arc 70mm long subtends an angle of pi over 4 radians at the centre what is the radius of the circle? 2.A chord of length 26mm is drawn in a circle of 35mm diameter. What are the lengths of the smaller and larger arcs into which the circumference is divided?

    Equation of a Frustum-Shaped Plate

    What is/are the equation/s required to calculate dimensions and construction of a frustum shaped plate in its flat form before rolling into cone shape?

    Help with setting up problem

    I would like to get some help in setting up this problem. the angle is 58 degrees and they give the answer as .39221 Thank You

    Inscribing a regular polygon

    A clock maker wishes to make a 24 hour clock by inscribing a regular 24-gon in a circle. Determine the measure of a central angle and the measure of a vertex angle of the polygon.

    Calculate Maximum Feet: Pythorean Theorem Problem

    An extension ladder adjusts in length from 10 ft to 16 ft. Suppose you've leaned your ladder against your house, so that, at its minimum length, it touches the base of your first floor window, 9 feet above the ground. Without moving the base, how high will the ladder reach, when extended?

    Determining the Congruence of Segments

    Use the information below to answer the question: Is the segment PB congruent to PD? Segment PA is orthogonal to the plane m Points A,B,C,and D lie in the plane m Segment AB is congruent to the segment AD