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pre-calculus - Math Help Forum Lee is running around the perimeter of a circular track at a rate of 10 ft sec The track has a radius of 100 yards After 10 seconds, Lee turns and runs along a radial line to the center of the circle Once he reaches the center, he turns and runs along a radial line to his starting point on the perimeter Assume Lee doesn't slow down when
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, <== I can't see an image of the package (Thinking) 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
Summing areas of squares - Math Help Forum A square S1 has a perimeter of 40 inches The vertices of a second square S2 are the midpoints of the sides of S1 The vertices of a third square S3 are the midpoints the sides of S2 Assume the process continues indefinitely, with the vertices of S K+1 being the midpoints of the sides of Sk for every positive integer k
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}= 2n r \sin(\frac{\pi}{n}) Find the limit of Pn as n approaches ∞ My attempt: The sum of the interior angles is \pi (n-2) If we apply the cosine law to find the length of each side of the n-sided regular polygon we find
Divide a square into 7 equal parts - Math Help Forum 1 I divided the perimeter of the square into 7 equal distances 2 I played with some geometric shapes (rectangle, triangle, ) 3 I noticed that a triangle would fit best if I take the center of the square as common vertex 4
Perimeter of a rectangle. - Math Help Forum A rectangular flat-screen computer monitor has a diagonal that measures 20 inches The ratio of the length of the screen to the width of the screen is 4 to 3 What is the perimeter of the screen, in inches?
find the the dimensions of x and y | Math Help Forum a Find a formula for the area b find a formula for the perimeter c find the dimensions x and y that maximize the area given that the perimeter is 100 * See attachment for details!!! I know that this figure is composed of 4 semicircles and one rectangle ; the area of the rectangle is
Optimizing a Norman Window - What am I doing wrong? A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of the rectangle What is the area of the largest possible Norman window with a perimeter of 45 feet? A(h) = 1 2 \pi r^2 + 2r ((45-\pi(r)-2r) 2r) A'(h) = \pi(r) - \pi-2 So solving for 0 i get (\pi +2) \pi as the critical point
Area as a function of width - Math Help Forum Let's say we only had one sheep pen fenced by 500 feet Calling the length L and the width W then it makes sense that the total perimeter of the fence is 2L+2W = 500 We know the area of a rectangle is A = L \times W so looking back at the first equation and solving for L we get 2L+2W = 500 2L = 500 - 2W L = 250 - W