 |
Make a (two-dimensional) scale drawing of the
major sections (i.e., the crust, mantle,
outer core and inner core) of the Earth, where
1" equals 2000 km.
|
- Using a time
scale of 15 billion years = 365 days,
let January 1st represent the beginning of the universe and
December 31st correspond to
the present day. Determine which day of the calendar year
each of the following events would occur on:
- Formation of the Earth [4.6 billion years
ago]
- Beginning of life on Earth [3 billion years
ago]
- First appearance of dinosaurs [230 million
years ago]
- Extinction of dinosaurs [65 million years
ago]
- Using the same time scale above (in exercise 2),
determine the day and time of day (to the nearest minute)
when
humans/hominids first began to appear on Earth [6
million years ago].
- The
annual (residential) property tax rate for Seattle, WA is
$11.50 per
$1000 of the real
estate's assessed value.
- A house whose assessed valued is
$145,000 will be levied with how
much property tax?
- A home owner pays $2,300.00
in property tax annually. What is the assessed value of
the house?
- Recently (Aug. 9, 2006), the
exchange rate of Japanese yen (¥)
to the U.S. dollar ($
or USD) was 115.01¥
per $1.00.
- How much would $20.00
represent in the Japanese currency of yen?
- A liter of gasoline in
Tokyo, Japan typically costs about 140¥.
What is the approximate cost of 1 gallon
of gasoline bought in Tokyo in USD?
|
- Suppose that you were recently hired to feed the animals
at a local dog kennel. Your
supervisor instructs you to mix Purina Hi Pro dog food with
Alpo dog food in a 5:2 ratio.
- If you use 12 lbs
of Purina Hi Pro, how many pounds of
Alpo must be mixed with it?
- If 28 lbs of
feed total are required to feed all of the animals, how
much of each food will be needed?
Two-stroke (a.k.a. 2-cycle) engines must have a fuel mixture
of gas and oil. For a particular Craftsman model (20-in.)
chainsaw, the manufacturer suggests a ratio of 32:1
(gas to oil). A 2.5 gallon
gas can is to be used in preparing a gas-oil mixture for the
chainsaw.
- If you have 2¼ gallons
of gasoline, how much oil in ounces
will need to be mixed to obtain the
manufacturer's suggested ratio?
- If you wish to obtain a final mixture of 2.5 gallons,
how many gallons of gasoline and
how many ounces of oil will have
to be mixed in order to obtain the
manufacturer's suggested ratio?
|
- A typical ratio
mix for making concrete is 4:2:1
 for
parts of gravel, sand and cement, respectively.
- If you have
4.0 cubic feet of gravel, how many
cubic feet of sand and how many cubic
feet of cement will be needed?
- If you have
1.2 cubic feet of sand, how many
cubic feet of gravel and how many cubic
feet of cement are needed?
- If you want
to mix 35 cubic feet of concrete, how
many cubic feet of each ingredient
gravel, sand and cement are required?
- The steepness of a house roof is characterized by its
pitch. The pitch of a roof is determined as the
ratio of the Rise (change in vertical distance) to
the Run (change in horizontal distance).
If the blueprints of a house plan designate it as having a
4/12 pitch and the span (see illustration above) of the
house is 36 feet, then
determine the vertical distance between the ridge of the
roof and the ground.
- If the house illustrated above (see Exercise 9) were
drawn on a set of blueprints with a scale of 4 ft = 1 inch,
then find the scaled width (span) and height (to the roof
ridge) of the house on the blueprints.
|