b2 1. Given the irregular quadrilateral, find the length of c. 02 b b = 180...
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b2 1. Given the irregular quadrilateral, find the length of c₂. 02 b₁ b₁ = 180 m C₁ = 115 m A₁ = 120° A₁ G₁ b₂ = 165 m Q₂=? Az = 100° B₁ B₂ A2 2. A fence enclosure consists of a rectangle of length L and width 2R and a semicircle of radius R. The enclosure will have an area, A, of 1600 ft². The cost of the fence is $40/ft for the curved portion and $30/ft for the straight sides. Find the values of R and L required to minimize the total cost of the fence. Also compute the minimum cost. 3. A torus is shaped like a doughnut. If its inner radius is a and its outer radius is b, its volume and surface area are given by: V(a,b)=0.25 *pi*(a+b)*(b-a)² and A(a,b) = pi* (b²-a²) Calculate V(1,2), A(4,7), V(5, 8), and A(2.1, 3.5). 4. The height and speed of a projectile launched with a speed of vo at an angle A to the horizontal are given by. h(t)= vot sin(A) -0.5 gt v(t) = sqrt(vo-2vo*g*t*sin(A) +g²*t²) where g is the acceleration due to gravity. The projectile will strike the ground when h(t) = 0. Suppose that A = 30°, vo=400 m/s, and g = 9.81m/s². a. Determine when the height is more than 15 m b. Determine when the speed is greater than 360 m/s b2 1. Given the irregular quadrilateral, find the length of c₂. 02 b₁ b₁ = 180 m C₁ = 115 m A₁ = 120° A₁ G₁ b₂ = 165 m Q₂=? Az = 100° B₁ B₂ A2 2. A fence enclosure consists of a rectangle of length L and width 2R and a semicircle of radius R. The enclosure will have an area, A, of 1600 ft². The cost of the fence is $40/ft for the curved portion and $30/ft for the straight sides. Find the values of R and L required to minimize the total cost of the fence. Also compute the minimum cost. 3. A torus is shaped like a doughnut. If its inner radius is a and its outer radius is b, its volume and surface area are given by: V(a,b)=0.25 *pi*(a+b)*(b-a)² and A(a,b) = pi* (b²-a²) Calculate V(1,2), A(4,7), V(5, 8), and A(2.1, 3.5). 4. The height and speed of a projectile launched with a speed of vo at an angle A to the horizontal are given by. h(t)= vot sin(A) -0.5 gt v(t) = sqrt(vo-2vo*g*t*sin(A) +g²*t²) where g is the acceleration due to gravity. The projectile will strike the ground when h(t) = 0. Suppose that A = 30°, vo=400 m/s, and g = 9.81m/s². a. Determine when the height is more than 15 m b. Determine when the speed is greater than 360 m/s
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SOLUTION 1 Irregular Quadrilateral To find the length of side c we can use the fact that the sum of the interior angles of a quadrilateral is 360 degr... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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