Download Lesson 3.9 Answers - Fort Thomas Independent Schools

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Name
Name
3-8B Lesson Master
Questions on SPUR Objectives
3-8B
page 2
REPRESENTATIONS
SKILLS Objective F: Estimate the square root of a
Objective O: Apply the geometric definition
of square root.
number to a stated decimal place.
13. A baseball diamond is a square with
sides 90 feet.
In 1–4, answer without using a calculator.
9 and 10
6 and 7
6 and 7
8 and 9
1. Between which two consecutive whole numbers is √
95 ?
2. Between which two consecutive whole numbers is √
39 ?
3. Between which two consecutive whole numbers is √
48 ?
4. Between which two consecutive whole numbers is √
72 ?
5.2
8.7
7. √
75
8. √
45
third base
first base
90
ft
90
360 ft
ft
home plate
c. Suppose Chris runs directly from
home plate to second base. To the
nearest hundredth foot, how far does Chris run?
3.5
6.7
6. √
12
second base
b. How far does a batter run if he or
she hits a home run?
In 5–8, estimate the square root to the tenths place.
5. √
27
8,100 ft2
a. What is the area of the square?
127.28 ft
14. At the right, the large square has sides of
24 units. The midpoints of its sides are
connected to create a smaller square.
USES Objective L: Use square roots in real situations.
a. What is the area of the larger square?
9. The legs of a right triangle are 2 cm and 3.4 cm. Find the length of the
hypotenuse to the nearest tenth of a centimeter.
576 square units
3.9 cm
b. What is the area of the smaller square?
10. The legs of a right triangle are 8.4 ft and 11.1 ft Find the length of the
hypotenuse to the nearest tenth of a foot.
13.9 ft
11. The sides of a rectangle are 8 in. and 12 in. To the nearest tenth of an
inch, what is the length of a segment drawn from one corner to the
opposite corner?
14.4 in.
12. A 20-foot flagpole is braced by a cable that meets the ground 5 feet
from the base of the flagpole. To the nearest tenth of a foot, how long
is the cable?
20.6 ft
24
288 square units
c. What is the exact length of the side of
the smaller square?
d. Approximate the length of the smaller square to the nearest
hundredth of a unit.
16.97 units
288 units
15. A rectangle has sides of 8 units and 10 units. To the nearest tenth
of a unit, what is the length of a line segment drawn from one
corner to the opposite corner?
20 ft
12.8 units
16. A square has an area of 900 square feet.
30 ft
a. Give the length of a side of the square.
5 ft
b. Give the length of the segment connecting opposite corners
to the nearest thousandth of a foot.
42.426 ft
17. Multiple choice. If the lengths of sides of a triangle satisfy a2 + b2 = c2,
the triangle is a right triangle. Which set of side lengths forms a right
triangle, where the longest side, c, is the hypotenuse?
A 1, 2, 3
Transition Mathematics
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Name
B 6, 8, 10
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Questions on SPUR Objectives
See pages 199–201 for objectives.
USES Objective M
3-9B Lesson Master
exclusive events.
Letter
3
8.
3. 7 white and 3 black
9. Abel, Mabel, and Gable are playing a game. Abel has won 11 rounds,
Mabel has won 8 rounds, and Gable has won 1 round. Write the
relative frequency of Abel not winning a round as a percent.
In 10–13, a fly lands randomly on one of the
squares on the diagram shown at the right.
Write the probability, as a percent, that the
fly will land on a square containing the given
type of number.
14
9
39
105
35
40
245
49
154
50
70
77
6. an odd number
0
__
7
1
5. 6 black and 10 white
140
9. less than 6
11. equal to 7
133
−
33.3%
−
16.6%
−
27.7%
−
16.6%
10. greater than 12
25%
−
13. football or baseball 33.3%
FOOTBALL
L
AL
TB
KE
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182
ING
HIK
S
BA
12. basketball
181
0%
L
In 12–14, a teacher spins the spinner at the right to
determine the intramural sport for the week. Write
the probability as a percent of the spinner landing
on the following:
Transition Mathematics
75%
62.5%
50%
14. any sport except volleyball and hiking
A20
51
___
100
3. 4 black and 12 white
In 9–11, suppose a six-sided die is tossed two times. Write the probability
as a percent that the sum of the numbers that “show up” will be the
following:
68.75%
50%
a multiple of 5
87.5%
a multiple of 5 or 7
a multiple of both 5 and 7 31.25%
UCSMP_SMP08_NL_TM1_TR1_C03_157-1181 181
9.9%
AL
EB
13.
18
__
36
S
BA
12.
62%
7. an even number greater than 2
10. a multiple of 7
11.
1
__
3
In 6–8, suppose a six-sided die is tossed one time. Write the probability as
a percent of tossing the following:
8. a number less than 2
5
100%
50%
37.5%
4. 10 black and 6 white
45%
112
3
__
4
C E AD E B D C B DA E
2. 8 black and 8 white
30%
0%
10 black and 0 white
5. 10 white and 0 black
3
__
15 black and 5 white
7. 43 white and 3 black 46 or about
6.52%
If there is a 60% chance of rain tomorrow, what is the probability
40%
that it will not rain?
50%
100%
75%
0%
In 2–5, write the probability as a percent of randomly selecting a white
marble from a jar containing the following marbles:
In 2–7, write the probability as a percent of randomly selecting a black
marble from a jar containing the following marbles:
2. 5 black and 5 white
16
__
16
2
__
4
Probability
_1
2
_3
4
_2
Copyright © Wright Group/McGraw-Hill
has 2 chances in 3 of happening
N
LL
will happen about 3 times out of 4
0
__
N
__
N
YBA
has a “50-50” chance
As a Fraction
0%
100%
50%
75%
66.6%
NIS
is certain to happen
0
1
0.5
0.75
0.6
VO
LLE
As a Decimal As a Percent
1. Write one of these letters below each probability in the table.
A “cannot happen”
B “has less than an even chance” C “has an even chance”
D “has more than an even chance”
E “is certain to happen”
TEN
In Words
cannot happen
Questions on SPUR Objectives
USES Objective M: Calculate probabilities involving mutually
1. Complete the table describing the probability.
6.
C 1, 10, 11
Transition Mathematics
180
Name
3-9A Lesson Master
4.
B
75%
Transition Mathematics
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Transition Mathematics
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