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Higher Math - Calculating the Minimum Perimeter of a Triangle No triangle exists that minimizes that condition However, the infinum of the perimeters of all such triangles = twice the distance from (a,b) to the line y = x That's just an application of the triangle inequality after picking the first two points (one is on the line, the other is (a,b)) of any triangle
Perimeter of a circle as a limit of inscribed regular sided polygon Show that the perimeter Pn of an n-sided regular polygon inscribed in a circle of radius r is P n = 2 n r sin (π n) Find the limit of Pn as n approaches ∞ My attempt: The sum of the interior angles is π (n 2) If we apply the cosine law to find the length of each side of the n-sided regular polygon we find c 2 = 2 r 2 2 r 2 cos (4 π n π)
Rectangular Package | Math Help Forum A Rectangular package sent by a delivery can have a maximum combined length and girth (perimeter of a cross section) of 120 inches Here, there is a picture, which is a 3D package, with length of y, and with of x The problem is the following: Give a formula for the volume of the package
Perimeter of Athletic Lanes | Math Help Forum An athletic track has four lanes The lanes are 1 metre apart If the inside lane is exactly 400 m, with 100m straights, find the lengths of the other three lanes Can I please have an explanation for obtaining the answer to this problem?
Changing dimension in a rectangle - Math Help Forum so where do i start for this problem? the length l of a rectangle is decreasing at the rate of 2 cm sec while the width w is increasing at the rate of 2 cm sec when l=12cm and w= 5cm, find the rates of change of area, perimeter, and the lengths of the diagonals of the rectangle
Relationship between Area of Square and Rectangle - Math Help Forum The perimeter of the square has length 160 mm How much longer is the perimeter of the rectangle than the perimeter of the square? (b) Same question but this time the perimeter of the square is L mm and the long side of the rectangle is x times as long as the short side You are looking for the difference in perimeters, or P r P s
Maximizing Area Differentials - Math Help Forum A window consists of an open rectangle topped by a semicircle and is to have a perimeter of 288 inches Find the radius of the semicircle that will maximize the area of the window I don't even know where to start, what does the picture even look like? AND The measurement of the edge of a