Consider the following problem: A farmer with 730 ft of fencing wants to enclose a rectangular area - PowerPoint PPT Presentation

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Consider the following problem: A farmer with 730 ft of fencing wants to enclose a rectangular area

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... problem: A farmer with 730 ft of fencing wants to enclose a rectangular ... A fence 7 ft tall runs parallel to a tall building at a distance of 6 ft from ... – PowerPoint PPT presentation

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Title: Consider the following problem: A farmer with 730 ft of fencing wants to enclose a rectangular area


1
Consider the following problem A farmer with 730
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?
  • 13,322.5 image
  • 13,342.5 image
  • 13,321.5 image
  • 13,311.5 image
  • 13,422.5 image
  • 13,345.5 image

2
A rectangular storage container with an open top
is to have a volume of 6 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 6 per square meter. Find the cost of
materials for the cheapest such container.
  • 134.35
  • 128.65
  • 130.15
  • 130.17
  • 127.85
  • 129.15

3
A fence 7 ft tall runs parallel to a tall
building at a distance of 6 ft from the building.
What is the length of the shortest ladder that
will reach from the ground over the fence to the
wall of the building? Round the result to the
nearest hundredth.
  • 18.37 ft
  • 18.57 ft
  • 20.40 ft
  • 18.36 ft
  • 17.27 ft
  • 19.37 ft

4
A woman at a point A on the shore of a circular
lake with radius 4 mi wants to arrive at the
point C diametrically opposite on the other side
of the lake in the shortest possible time. She
can walk at the rate of 6 mi/h and row a boat at
3 mi/h. How should she proceed? (Find image ).
Round the result, if necessary, to the nearest
hundredth. image
  • She should walk around the lake from point A to
    point C.
  • 0.57 radians
  • She should row from point A to point C radians
  • 0.85 radians
  • 0.52 radians
  • 0.73 radians

5
A steel pipe is being carried down a hallway 13
ft wide. At the end of the hall there is a
right-angled turn into a narrower hallway 8 ft
wide. What is the length of the longest pipe that
can be carried horizontally around the corner?
Round the result to the nearest hundredth. image
  • 29.46 ft
  • 28.21 ft
  • 28.38 ft
  • 29.41 ft
  • 29.44 ft
  • 30.11 ft

6
Ornithologists have determined that some species
of birds tend to avoid flights over large bodies
of water during daylight hours. It is believed
that more energy is required to fly over water
than land because air generally rises over land
and falls over water during the day. A bird with
these tendencies is released from an island that
is 4 km from the nearest point B on a straight
shoreline, flies to a point C on the shoreline,
and then flies along the shoreline to its nesting
area D. Assume that the bird instinctively
chooses a path that will minimize its energy
expenditure. Points B and D are 10 km apart. In
general, if it takes 1.6 times as much energy to
fly over water as land, to what point C should
the bird fly in order to minimize the total
energy expended in returning to its nesting area?
Your answer will be the distance between B and C
(correct to one decimal place). image
  • 4.4 km
  • 5.5 km
  • 3.2 km
  • 3.7 km
  • 2.1 km
  • 4.6 km
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