1. 12,983 {image} 12,959 {image} 12,960 {image} 12,980 {image}
Consider the following problem: A farmer with 720 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens?
12,983 {image}
12,959 {image}
12,960 {image}
12,980 {image}
13,060 {image}
12,949 {image} 1. 2. 3. 4. 5. 6. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. A rectangular storage container with an open top is to have a volume of 13 m {image} . The length of its base is twice the width. Material for the base costs $14 per square meter. Material for the sides costs $13 per square meter. Find the cost of materials for the cheapest such container.
$364.91
$369.09
$363.39
$362.59
$364.89
$363.89 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. 138.35 cm {image} 138.25 cm {image} 138.3 cm {image} 137.25 cm {image}
A conical drinking cup is made from a circular piece of paper of radius R = 7 cm by cutting out a sector and joining the edges CA and CB. Find the maximum capacity of such a cup. Round the result to the nearest hundredth. {image}
cm {image}
cm {image}
138.3 cm {image}
cm {image}
cm {image}
cm {image} 1. 2. 3. 4. 5. 6. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. The illumination of an object by a light source is directly proportional to the strength of the source and inversely proportional to the square of the distance from the source. If two light sources, one three times as strong as the other, are placed 14 ft apart, how far from the stronger source should an object be placed on the line between the sources so as to receive the least illumination? Round the result to the nearest hundredth.
8.27 ft
7.17 ft
6.57 ft
8.47 ft
8.34 ft
8.32 ft 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. Consider the figure below , where a = 7, b = 3 and l = 4
Consider the figure below , where a = 7, b = 3 and l = 4. How far from the point A should the point P be chosen on the line segment AB so as to maximize the angle {image} ? Round the result to the nearest hundredth. {image}
0.69
0.52
1.82
1.22
0.56
1.53 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50