Page 56 - Algebra 1

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Error Analysis Two students used unit analysis to convert a measurement of length. Which student is correct? Explain the error.
Multiple Choice Which one of the following ratios can be used to convert 120 cm
Student A
1 cm = 10 mm _
5540 mm = 5540 mm × 1 cm 10 mm
5540 mm = 554 cm
Student B
1 cm = 10 mm _ 5540 mm = 5540 mm × 10 mm
1 cm 5540 mm = 55400 cm
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Weather Forecasting One knot is exactly 1.852 kilometers per hour. The highest wind gust for the day was measured at 38 knots.
a. How many km/hr was the recorded wind gust? (Hint: 1 knot = 1.852 km/hr)
b. How many mph was the recorded wind gust? (Hint: 1 mi = 1.609 km) Multi-Step How can you find the area of the triangle in square inches?
b feet
h feet
A 2.54 cm _
into an equivalent measure in inches? (Hint: There are 2.54 cm in one inch.)
B C D
_1 in.
1 in. 2.54 cm
2.54 cm · 2.54 cm __
1 in.
1 in.
1 in. · 1 in. __
2.54 cm 2.54 in.
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a. Write a formula for computing the area of the triangle in units of square feet.
b. Write a new formula that computes the area of the triangle in units of square inches.
c. What is the area of the triangle in square inches if b = 3 ft and h = 2.2 ft?
Chemistry Water has a density of 1 gram per cubic centimeter. What is the density
of water in grams per cubic inch?
Justify True or False: A right triangle has one right angle, one obtuse angle, and one acute angle. If false, explain why.
Lesson 8 41