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? - PowerPoint PPT Presentation

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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?

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... problem: A farmer with 720 ft of fencing wants to enclose a rectangular ... The illumination of an object by a light source is directly proportional to the ... – PowerPoint PPT presentation

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Title: 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?


1
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?
  1. 12,983 image
  2. 12,959 image
  3. 12,960 image
  4. 12,980 image
  5. 13,060 image
  6. 12,949 image

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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.
  1. 364.91
  2. 369.09
  3. 363.39
  4. 362.59
  5. 364.89
  6. 363.89

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3
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
  1. 138.35 cm image
  2. 138.25 cm image
  3. 138.3 cm image
  4. 137.25 cm image
  5. 137.24 cm image
  6. 138.27 cm image

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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.
  1. 8.27 ft
  2. 7.17 ft
  3. 6.57 ft
  4. 8.47 ft
  5. 8.34 ft
  6. 8.32 ft

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5
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
  1. 0.69
  2. 0.52
  3. 1.82
  4. 1.22
  5. 0.56
  6. 1.53

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