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The length of a rectangle is 3 cm more than 5 times its width. If the area of the rectangle is 76 cm2, find the dimensions of the rectangle.
For locations between 20° and 60° north latitude a solar collector panel should be mounted so its angle with the horizontal is 20 greater.
Carpeting will cost $8.00 a square yard. How many square yards of carpet will be needed and how much will it cost?
The importance of geometry's role in the math curriculum is debated in many high schools and colleges.
Why is it important that I explain to them so that they will understand that measurement has some common skills and tools necessary?
The total surface area of a square based open-top rectangular box is 12 cm2. Find the dimensions of the box of maximum volume.
A box is made from a sheet of metal that is 8 meters by 10 meters, by removing a square from each corner of the sheet and folding up the sides.
If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
The growth in the population of a certain rodent at a dump site fits the exponential function A(t)=336e0.031t, where t is the number of years since 1963.
Suppose that you have 600 feet of fencing which you plan to use to fence in a rectangular area of land.
Find the plane that is orthogonal to the given ones and passes through the point (1;-1; 2).
I am to draw any thee non collinear points. I am to construct a circle containing them on its circumference. Can you construct a different one?
Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
A careful player can always guarantee at least a draw at regular tic tac toe. Is this also true with cylindrical tic-tac-toe? Explain.
Poincare's model of Lobachevskian geometry was to say that points of the plane are represented by points in the interior of a circle and lines.
The length of its base its twice the width. Material for the base costs of $10 per square meter. Material for the sides costs $6 per square meter.
Find the circumference of each figure. Use 3.14 for [ ] and round your answer to one decimal place. In a circle for 3.75 ft
The cross sections perpendicular to the x-axis are isosceles right triangles with one leg on the base of the solid y=-x+3
Find the number of sides of the polygon ( if possible) if the given value corresponds to the number of degrees in the sum of the interior angles of a polygon.
Another definition of a regular tessellation is one whose vertex figures are identical regular polygons.
Describe some coping mechanisms you developed in MAT 115 that you can use for your next math course.
Find the perimeter and area of a circular sector whose angle is 3.5 radians if the circumference of the circle is 58 ft.
Find the equation of a line parallel to the x- axis and passing through the point (5, 7).
If lines l and m are parallel, then a transversal t to lines l and m cuts out congruent alternate interior angles.
Find the angle between the line segments from the centroid ( k/2, k/2, k/2) to two vertices.