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Math Problems
Algebra 1
Scale drawings: word problems
Sophie drew a scale drawing of a house and its lot. The back patio is
3
3
3
centimeters wide in the drawing. The actual patio is
18
18
18
meters wide. What scale did Sophie use for the drawing?
\newline
1 centimeter : ________ meters
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Algebra
1
1
1
- Unit
3
3
3
: Two Variable Statistics EXIT TICKET Estimate Line of Best Fit
\newline
Name
\newline
Date:
\newline
Aaron sams
\newline
\quad
\newline
\quad
Pd
\quad
\newline
\quad
Use a ruler to draw an approximate line of best fit thorough the points.
\newline
Slope:
1
,
0
1,0
1
,
0
\newline
Y-intercept:
\newline
Equation:
\newline
Positive or Negative Correlation?
\newline
Positive
\newline
Strong or Weak?
\newline
Strong
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The drawing shows an isosceles triangle
P
Q
R
PQR
PQR
. Each vertex of triangle
P
Q
R
PQR
PQR
is a point on circle
O
O
O
. If the circumference of circle
O
O
O
is
10
π
10\pi
10
π
units, what is the area of triangle
P
Q
R
PQR
PQR
?
Area
triangle
=
1
2
b
h
\text{Area}_{\text{triangle}} = \frac{1}{2} bh
Area
triangle
=
2
1
bh
\newline
A
100
100
100
sq units
\newline
B
50
50
50
sq units
\newline
C
30
30
30
sq units
\newline
D
P
Q
R
PQR
PQR
0
0
0
sq units
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What are the area and perimeter of
△
A
B
C
\triangle A B C
△
A
BC
? Drag and drop your answers in the boxes.
\newline
35
35
35
\newline
40
40
40
\newline
45
45
45
\newline
50
50
50
\newline
55
55
55
\newline
60
60
60
\newline
65
65
65
\newline
70
70
70
\newline
75
75
75
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What is the surface area of this cuboid with dimensions
6
c
m
,
8
c
m
6 \mathrm{~cm}, 8 \mathrm{~cm}
6
cm
,
8
cm
and
3
c
m
3 \mathrm{~cm}
3
cm
?
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The ratio boys : girls in a park is
1
:
4
1: 4
1
:
4
\newline
65
65
65
girls leave and the ratio becomes
4
:
3
4: 3
4
:
3
\newline
Work out how many boys there are in the park.
\newline
θ
\theta
θ
□
\square
□
boys
\newline
Submit Answer
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The diameter of a plate is
12
12
12
inches. Find the circumference (hint:
C
=
3.14
×
d
C= 3.14\times d
C
=
3.14
×
d
). As in the given hint, use
3.14
3.14
3.14
for pi. Examples of acceptable formats
12.34
12.34
12.34
inches
12.34
12.34
12.34
in
12.34
12.34
12.34
37.68
37.68
37.68
inches
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Score:
1
1
1
/
3
3
3
\newline
Penalty: none
\newline
Question
\newline
1.4
×
1
0
5
1.4 \times 10^{5}
1.4
×
1
0
5
bacteria are measured to be in a dirt sample that weighs
1
1
1
gram. Use scientific notation to express the number of bacteria that would be in a sample weighing
4
4
4
grams.
\newline
Answer Attempt
1
1
1
out of
3
3
3
\newline
Answer:
□
\square
□
×
10
\times 10
×
10
□
\square
□
bacteria
\newline
Submit Answer
\newline
opyright
02024
02024
02024
DeltalMathcom All Rights Reserved. Privacy Policy ITerms of Service
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5
5
5
. Square floor tiles measuring
12
12
12
inches by
12
12
12
inches are packed in boxes of
12
12
12
. Kira's bedroom dimensions are shown.
\newline
Approximately how many boxes of tiles would Kira need to tile her floor?
\newline
EOC Review Unit
6
6
6
Geometric and Measurement Reasoning
\newline
Page
3
/
4
3 / 4
3/4
\newline
schoolnet:
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thematics-Session
1
1
1
\newline
11
11
11
. The lengths, in minutes, of the movies currently showing at a movie theater are shown in the data set.
\newline
\begin{tabular}{|r|r|r|r|r|r|r|}
\newline
\hline
89
89
89
&
98
98
98
&
109
109
109
&
123
123
123
&
123
123
123
&
125
125
125
&
125
125
125
\\
\newline
\hline
128
128
128
&
130
130
130
&
135
135
135
&
137
137
137
&
140
140
140
&
143
143
143
&
143
143
143
\\
\newline
\hline
\newline
\end{tabular}
\newline
Create a histogram that represents the data.
\newline
Draw each bar to the correct height.
\newline
Movie Lengths
\newline
ris:
\newline
Number of Minutes
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Return
\newline
Day
11
11
11
- Geometric Reasoning
\newline
Question \#
2
2
2
\newline
2
2
2
. The net of a rectangular prism is shown below.
\newline
1
1
1
1
1
1
point
\newline
Part A: What is the volume of the rectangular prism?
\newline
Type your answer.-
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multiplications?)
\newline
9
9
9
. To stitch a shirt,
2
m
15
c
m
2 \mathrm{~m} 15 \mathrm{~cm}
2
m
15
cm
cloth is needed. Out of
40
m
40 \mathrm{~m}
40
m
cloth, how many shirts can be stitched and how much cloth will remain?
\newline
(Hint: convert data in
c
m
\mathrm{cm}
cm
.)
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How many pounds of candy that sells for
$
3.25
\$ 3.25
$3.25
per lb must be mixed with candy that sells for
$
2.75
p
e
r
l
b
\$ 2.75 \mathrm{per} \mathrm{lb}
$2.75
per
lb
to obtain
10
l
b
10 \mathrm{lb}
10
lb
of a mixture that should sell for
$
2.90
\$ 2.90
$2.90
per
l
b
\mathrm{lb}
lb
?
\newline
□
\square
□
Ib of
$
3.25
\$ 3.25
$3.25
-per-lb candy must be mixed with
□
\square
□
Ib of
$
2.75
\$ 2.75
$2.75
-per-lb candy.
\newline
(Type integers or decimals.)
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How many pounds of candy that sells for
$
2.75
\$ 2.75
$2.75
per lb must be mixed with candy that sells for
$
1.25
\$ 1.25
$1.25
per
l
b
\mathrm{lb}
lb
to obtain
10
l
b
10 \mathrm{lb}
10
lb
of a mixture that should sell for
$
2.45
\$ 2.45
$2.45
per Ib?
\newline
□
\square
□
Ib of
$
2.75
\$ 2.75
$2.75
-per-lb candy must be mixed with
□
\square
□
Ib of
$
1.25
\$ 1.25
$1.25
-per-lb candy.
\newline
(Type integers or decimals.)
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1
1
1
. The following are the daily fat intake (grams) of a group of
150
150
150
adult males.
\newline
\begin{tabular}{ccccccccc}
\newline
22
22
22
&
62
62
62
&
77
77
77
&
84
84
84
&
91
91
91
&
102
102
102
&
117
117
117
&
129
129
129
&
137
137
137
\\
\newline
141
141
141
&
42
42
42
&
56
56
56
&
78
78
78
&
73
73
73
&
96
96
96
&
105
105
105
&
117
117
117
&
125
125
125
\\
\newline
135
135
135
&
143
143
143
&
37
37
37
&
69
69
69
&
82
82
82
&
93
93
93
&
93
93
93
&
100
100
100
&
114
114
114
\\
\newline
124
124
124
&
135
135
135
&
142
142
142
&
30
30
30
&
77
77
77
&
81
81
81
&
94
94
94
&
97
97
97
&
102
102
102
\\
\newline
119
119
119
&
125
125
125
&
138
138
138
&
142
142
142
&
46
46
46
&
89
89
89
&
88
88
88
&
99
99
99
&
95
95
95
\\
\newline
100
100
100
&
116
116
116
&
121
121
121
&
131
131
131
&
152
152
152
&
63
63
63
&
85
85
85
&
81
81
81
&
94
94
94
\\
\newline
93
93
93
&
106
106
106
&
114
114
114
&
127
127
127
&
133
133
133
&
155
155
155
&
51
51
51
&
80
80
80
&
88
88
88
\\
\newline
98
98
98
&
97
97
97
&
106
106
106
&
119
119
119
&
122
122
122
&
134
134
134
&
151
151
151
&
52
52
52
&
70
70
70
\\
\newline
76
76
76
&
95
95
95
&
107
107
107
&
105
105
105
&
117
117
117
&
128
128
128
&
144
144
144
&
150
150
150
&
68
68
68
\\
\newline
79
79
79
&
82
82
82
&
96
96
96
&
109
109
109
&
108
108
108
&
117
117
117
&
120
120
120
&
147
147
147
&
153
153
153
\\
\newline
67
67
67
&
75
75
75
&
76
76
76
&
92
92
92
&
105
105
105
&
104
104
104
&
117
117
117
&
129
129
129
&
148
148
148
\\
\newline
164
164
164
&
62
62
62
&
85
85
85
&
77
77
77
&
96
96
96
&
103
103
103
&
105
105
105
&
116
116
116
&
132
132
132
\\
\newline
146
146
146
&
168
168
168
&
53
53
53
&
72
72
72
&
72
72
72
&
91
91
91
&
102
102
102
&
101
101
101
&
128
128
128
\\
\newline
136
136
136
&
143
143
143
&
164
164
164
&
65
65
65
&
73
73
73
&
83
83
83
&
92
92
92
&
103
103
103
&
118
118
118
\\
\newline
127
127
127
&
132
132
132
&
140
140
140
&
167
167
167
&
68
68
68
&
75
75
75
&
89
89
89
&
95
95
95
&
107
107
107
\\
\newline
111
111
111
&
128
128
128
&
139
139
139
&
148
148
148
&
168
168
168
&
68
68
68
&
79
79
79
&
82
82
82
&
96
96
96
\\
\newline
109
109
109
&
108
108
108
&
117
117
117
&
130
130
130
&
147
147
147
&
153
153
153
& & &
\newline
\end{tabular}
\newline
1
1
1
. Form a frequency distribution, including relative frequencies and cumulative relative frequencies.
\newline
2
2
2
. Construct Histogram and frequency polygon.
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At a pond there were
24
24
24
ducks swimming. The tape diagram shows the ratio of ducklings to adult ducks.
\newline
Adult ducks
\newline
Complete the table.
\newline
\begin{tabular}{lll}
\newline
& Original ratio & Number in the pond \\
\newline
\hline Ducklings &
5
5
5
&
20
20
20
\\
\newline
\hline Adult ducks &
1
1
1
&
4
4
4
\\
\newline
\hline Total ducks & &
24
24
24
\newline
\end{tabular}
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2
2
2
. Directions
\newline
Drag and drop the correct answer choice to each answer blank.
\newline
A gumball machine contains
200
200
200
gumballs. A random sample of
25
25
25
gumballs was collected from the machine. The results from the random sample are shown.
\newline
-
10
10
10
gumballs are red
\newline
-
8
8
8
gumballs are blue
\newline
-
5
5
5
gumballs are green
\newline
-
2
2
2
gumballs are white
\newline
Based on the random sample results, complete the prediction statements for the entire machine of
200
200
200
gumballs.
\newline
Move the answers to the correct boxes.
\newline
:
1
1
1
.
3
3
3
\newline
10
10
10
\newline
13
13
13
\newline
24
24
24
\newline
80
80
80
\newline
104
104
104
\newline
- There are red gumballs in the machine.
\newline
- There are more green gumballs than white gumballs in the machine.
\newline
- There are gumballs that are either blue or green in the machine.
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3
3
3
.
1
1
1
The Department of Social Welfare at a university surveyed a random sample of students to find out how many students took alcohol. Of the
615
615
615
students interviewed, there were
520
520
520
males, and
485
485
485
of the sampled students drank alcohol. The information is shown in the Venn diagram below: From the Venn diagram above, determine:
3
3
3
.
1
1
1
.
1
1
1
The number of male students that drank alcohol
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Question
\newline
Watch Video
\newline
Show Examples
\newline
Assume that each circle shown below represents one unit. Express the shaded amount as a single fraction and as a mixed number.
\newline
Answer
\newline
Attempt
1
1
1
out of
2
2
2
\newline
One Fraction:
□
\square
□
\newline
Mixed Number:
□
\square
□
\newline
□
\square
□
\newline
Penerat
\newline
Warning!
\newline
System issues fou
\newline
We recommend removing issues by
\newline
Submit Answer
\newline
REMOVE NO
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12
12
12
\newline
The decimal grid shown below is shaded and marked with
X
s
X_{s}
X
s
to model an expression.
\newline
Which expression could be modeled by this decimal grid?
\newline
A
0.08
×
0.04
0.08 \times 0.04
0.08
×
0.04
\newline
B
0.08
×
0.40
0.08 \times 0.40
0.08
×
0.40
\newline
C
0.80
×
0.04
0.80 \times 0.04
0.80
×
0.04
\newline
D
0.80
×
0.40
0.80 \times 0.40
0.80
×
0.40
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The penguin exhibit at a zoo has a raised circular island that is surrounded by water. The diameter of the island is
20
20
20
meters. One penguin swims half way around the island before hopping out.
\newline
How far did the penguin swim? Give your answer in terms of pi.
\newline
□
\square
□
meters
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A table with a round top is cut in half so that it can be used against a wall. After it is cut, the edge along the wall is
6
6
6
feet.
\newline
What is the area
A
A
A
of the table after it is cut in half ?
\newline
Give your answer in terms of pi.
\newline
A
=
□
A=\square
A
=
□
feet
2
\text {feet }^{2}
feet
2
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A python curls up to touch the tip of its own tail with its nose, forming the shape of a circle. The python is
2.6
π
2.6 \pi
2.6
π
meters long.
\newline
What is the radius
r
r
r
of the circle that the python forms?
\newline
r
=
□
r=\square
r
=
□
m
\mathrm{m}
m
Get tutor help
MBF
3
3
3
C
1
1
1
- Unit
1
1
1
\newline
Chapter
1
1
1
Test: Trigonometry
\newline
5
5
5
. Use the Sine Law to find y. [
4
4
4
marks]
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Question
9
9
9
\newline
2
p
t
s
2 \mathrm{pts}
2
pts
\newline
△
A
B
C
∼
△
D
E
F
\triangle A B C \sim \triangle D E F
△
A
BC
∼
△
D
EF
, and the scale factor is
2
:
5
2: 5
2
:
5
. What is the area of
△
D
E
F
\triangle D E F
△
D
EF
? The formula for the area of a triangle is
A
=
b
h
2
A=\frac{b h}{2}
A
=
2
bh
.
\newline
37
37
37
.
5
5
5
square units
\newline
6
6
6
square units
\newline
15
15
15
square units
\newline
75
75
75
square units
\newline
Question
10
10
10
\newline
2
p
t
s
2 \mathrm{pts}
2
pts
Get tutor help
(
3
3
3
) A solid with surface area
8
8
8
square units is dilated by a scale factor of
k
k
k
to obtain a solid with surface area
A
A
A
square units. Find the value of
k
k
k
which leads to an image with each given surface area. PART A
512
512
512
square units PART B
(
1
)
/
(
2
)
(1)/(2)
(
1
)
/
(
2
)
square unit PART C
8
8
8
square units
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(
2
2
2
) A trapezoid has an area of
100
100
100
square units. What scale factor would be required to dilate the trapezoid to have each area?
\newline
PART A
\newline
6400
6400
6400
square units
\newline
□
\square
□
\newline
PART B
900
900
900
square units
\newline
□
\square
□
\newline
PART C
100
100
100
square units
\newline
□
\square
□
\newline
PART D
25
25
25
square units
\newline
□
\square
□
\newline
PART E
4
4
4
square units
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General Mathematics
2
2
2
\newline
Linear Modelling
\newline
Assignment
2
2
2
\newline
Question
2
2
2
\newline
A car park charges the following fees.
\newline
\begin{tabular}{|c|c|}
\newline
\hline Time (hours) & Charge (\$) \\\(\newline\)\hline \( 0-1 \) & nil \\\(\newline\)\hline \( 1-2 \) & \(1\).\(50\) \\\(\newline\)\hline \( 2-3 \) & \(3\).\(00\) \\\(\newline\)\hline \( 3-4 \) & \(5\).\(00\) \\\(\newline\)\hline \( 4-5 \) & \(7\).\(00\) \\\(\newline\)\hline \( 5-6 \) & \(10\).\(00\) \\\(\newline\)\hline\(\newline\)\end{tabular}\(\newline\)a) Draw a step graph representing the car park charges.\(\newline\)(\(3\) marks)\(\newline\)Question \(2\) continues opposite\(\newline\)Page \(3\) of \(9\)
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4
4
4
.
\newline
Base?
\newline
Solid:
\newline
Volume:
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3
3
3
−
24
-24
−
24
\newline
Sianni Cruz
\newline
04
04
04
/
11
11
11
/
24
24
24
5
5
5
:
26
26
26
PM
\newline
Question
9
9
9
, *
8
8
8
.
1
1
1
.
19
19
19
\newline
HW Score:
46.15
%
,
6
46.15 \%, 6
46.15%
,
6
of
13
13
13
points
\newline
e Graphs
\newline
Points:
0
0
0
of
1
1
1
\newline
The circle graph shows music recordings sold by a music store. A music store sells
2500
2500
2500
recordings a month. How many are classical?
\qquad
\newline
□
\square
□
are classical.
\newline
example
\newline
Ask my instructor
\newline
Clear all
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Find the equation for the least squares regression line of the data described below.
\newline
Doug is a math teacher at a large school. He wonders if his test problems are too wordy. Doug is curious whether the wordiness is affecting student performance.
\newline
For the last several tests, Doug computes the average number of words in each question,
x
x
x
, as well as the average percentage scores on the tests,
y
y
y
.
\newline
\begin{tabular}{|c|c|}
\newline
\hline Average question length & Average student score \\
\newline
\hline
10
10
10
.
87
87
87
&
81
81
81
.
55
55
55
\\
\newline
\hline
15
15
15
.
74
74
74
&
72
72
72
.
28
28
28
\\
\newline
\hline
17
17
17
.
05
05
05
&
79
79
79
.
56
56
56
\\
\newline
\hline
26
26
26
.
97
97
97
&
67
67
67
.
27
27
27
\\
\newline
\hline
31
31
31
.
47
47
47
&
68
68
68
.
92
92
92
\\
\newline
\hline
37
37
37
.
19
19
19
&
78
78
78
.
85
85
85
\\
\newline
\hline
45
45
45
.
90
90
90
&
52
52
52
.
99
99
99
\\
\newline
\hline
46
46
46
.
14
14
14
&
65
65
65
.
48
48
48
\\
\newline
\hline
\newline
\end{tabular}
\newline
Round your answers to the nearest thousandth.
\newline
y
=
□
x
+
y=\square x+
y
=
□
x
+
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Camilla drew a scale drawing of a house and its lot. In real life, the back patio is
27
27
27
meters long. It is
3
3
3
millimeters long in the drawing. What scale did Camilla use?
\newline
1
1
1
millimeter :
_
_
_
\_\_\_
___
meters
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Gabriel measured a house and made a scale drawing. The garage, which is
12
12
12
meters long in real life, is
4
4
4
millimeters long in the drawing. What scale did Gabriel use for the drawing?
\newline
1
1
1
millimeter :
_
_
\_\_
__
meters
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Carmen drew a scale drawing of a house and its lot. In real life, the lawn in the backyard is
72
meters
72\,\text{meters}
72
meters
long. It is
24
millimeters
24\,\text{millimeters}
24
millimeters
long in the drawing. What is the scale of the drawing?
\newline
1
millimeter
:
_
_
_
meters
1\,\text{millimeter} : \_\_\_\,\text{meters}
1
millimeter
:
___
meters
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Owen made a scale drawing of a city. In real life, a neighborhood park is
170
170
170
yards long. It is
17
17
17
inches long in the drawing. What scale did Owen use for the drawing?
\newline
1
1
1
inch :
_
_
_
\_\_\_
___
yards
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Khan Academy
\newline
Get Al Tutoring
\newline
NE:
\newline
Quiz
1
1
1
\newline
Google Classroom
\newline
New York City has a population density of
27
27
27
,
000
000
000
residents per
1
1
1
square mile. The area of New York City is
301
301
301
square miles, and there is approximately
1
1
1
subway car for every
1
1
1
,
300
300
300
New York City residents. Rounded to the nearest one hundred subway cars, approximately how many total subway cars are in New York City?
\newline
Show calculator
\newline
How do I enter a student-produced response on the SAT? Show me!
∨
\vee
∨
\newline
Report a problem
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PART B The property manager surveys a random sample of
70
70
70
tenants about a fitness class. The results are shown in the table. If the apartment building has
300
300
300
tenants younger than
50
50
50
and
200
200
200
tenants age
50
50
50
or older, about how many total tenants would not be expected to attend a fitness class? Show your work.
\newline
\begin{tabular}{|c|c|c|}
\newline
\cline {
2
2
2
-
3
3
3
} \multicolumn{
1
1
1
}{c|}{} & \begin{tabular}{c}
\newline
Would Attend \\
\newline
Fitness Class
\newline
\end{tabular} & \begin{tabular}{c}
\newline
Would Not Attend \\
\newline
Fitness Class
\newline
\end{tabular} \\
\newline
\hline \begin{tabular}{l}
\newline
Younger \\
\newline
than
50
\mathbf{5 0}
50
\newline
\end{tabular} &
13
13
13
&
8
8
8
\\
\newline
\hline \begin{tabular}{l}
\newline
50
\mathbf{5 0}
50
or \\
\newline
Older
\newline
\end{tabular} &
32
32
32
&
17
17
17
\\
\newline
\hline
\newline
\end{tabular}
\newline
OLUTION
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Without dividing, determine if
92
92
92
,
842
842
842
is divisible by
4
4
4
and explain how you know.
\newline
92
92
92
,
842
842
842
□
\square
□
divisible by
4
4
4
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Without dividing, determine if
11
11
11
,
653
653
653
is divisible by
3
3
3
and explain how you know.
\newline
11
11
11
,
653
653
653
□
\square
□
divisible by
3
3
3
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Medium: Algebra: Unit test
\newline
w
=
3.1
+
l
2
w=3.1+\frac{l}{2}
w
=
3.1
+
2
l
\newline
The weight,
w
w
w
, in ounces, of a glass soda bottle design with a side length of
l
l
l
inches is given by the equation. By how many ounces does the weight of the bottle increase for every inch of increase in the side length?
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
.
5
5
5
\newline
(B)
2
2
2
\newline
(c)
3
3
3
.
1
1
1
\newline
(D)
3
3
3
.
6
6
6
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In an arithmetic sequence, the first term,
a
1
a_{1}
a
1
, is equal to
5
5
5
, and the third term,
a
3
a_{3}
a
3
, is equal to
9
9
9
. Which number represents the common difference of the arithmetic sequence?
\newline
d
=
2
d=2
d
=
2
\newline
d
=
3
d=3
d
=
3
\newline
d
=
4
d=4
d
=
4
\newline
d
=
5
d=5
d
=
5
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In a geometric sequence, the first term,
a
1
a_{1}
a
1
, is equal to
4
4
4
, and the third term,
a
3
a_{3}
a
3
, is equal to
144
144
144
. Which number represents the common ratio of the geometric sequence?
\newline
r
=
5
r=5
r
=
5
\newline
r
=
6
r=6
r
=
6
\newline
r
=
7
r=7
r
=
7
\newline
r
=
8
r=8
r
=
8
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Score:
4
5
\frac{4}{5}
5
4
\newline
Penalty: none
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
IQ scores are normally distributed with a mean of
100
100
100
and a standard deviation of
15
15
15
. Out of a randomly selected
1350
1350
1350
people from the population, how many of them would have an IQ between
95
95
95
and
123
123
123
, to the nearest whole number?
\newline
Find Area
\newline
w/ Population
\newline
Statistics Calculator
\newline
Answer Attempt
10
10
10
out of
20
20
20
\newline
Log Out
\newline
Submit Answer
\newline
Mar
7
7
7
\newline
6
:
29
6:29
6
:
29
US
\newline
100
100
100
0
0
0
Get tutor help
Score:
4
4
4
/
5
5
5
\newline
Penalty: none
\newline
Question
\newline
Watch Video
\newline
Show Examples
\newline
IQ scores are normally distributed with a mean of
100
100
100
and a standard deviation of
15
15
15
. Out of a randomly selected
1350
1350
1350
people from the population, how many of them would have an IQ between
95
95
95
and
123
123
123
, to the nearest whole number?
\newline
Find Area
\newline
w/ Population
\newline
Statistics Calculator
\newline
Answer Altempt
10
10
10
out of
20
20
20
\newline
Log Out
\newline
Submit Answer
\newline
Mar
7
7
7
\newline
6
6
6
:
29
29
29
US
\newline
g
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V
=
V=
V
=
type your answer.y.
c
m
3
\quad \mathrm{cm}^{3}
cm
3
\newline
Account
\newline
2
2
2
\newline
1
1
1
point
\newline
Dashbuand
\newline
Workbook Question \#
2
2
2
\newline
An oblique cylinder with a base of radius
2
2
2
units is shown. The top of the cylinder can be obtained by translating the base by the directed line segment
A
B
A B
A
B
which has length
6
2
6 \sqrt{2}
6
2
units. The segment
A
B
A B
A
B
forms a
4
5
∘
45^{\circ}
4
5
∘
angle with the plane of the base. What is the volume of the cylinder? Round to the nearest
10
10
10
th
\newline
Calendar
\newline
2
2
2
\newline
国
\newline
3
3
3
\newline
(
1
1
1
)
\newline
4
4
4
\newline
5
5
5
\newline
Masten:
\newline
6
6
6
\newline
7
7
7
\newline
8
8
8
\newline
V
=
106.9
V=106.9
V
=
106.9
\newline
c
m
3
\mathrm{cm}^{3}
cm
3
\newline
Resources
\newline
3
3
3
\newline
1
1
1
point
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A rectangle with a perimeter of
43
43
43
units is dilated by a scale factor of
3
4
\frac{3}{4}
4
3
. Find the perimeter of the rectangle after dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
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A rectangle with an area of
140
140
140
units
2
^{2}
2
is the image of a rectangle that was dilated by a scale factor of
3
4
\frac{3}{4}
4
3
. Find the area of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
2
^{2}
2
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A square with a perimeter of
137
137
137
units is the image of a square that was dilated by a scale factor of
4
4
4
. Find the perimeter of the preimage, the original square, before its dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
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A square with an area of
134
134
134
units
2
^{2}
2
is dilated by a scale factor of
2
2
2
. Find the area of the square after dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
2
^{2}
2
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A triangle with a perimeter of
43
43
43
units is the image of a triangle that was dilated by a scale factor of
4
3
\frac{4}{3}
3
4
. Find the perimeter of the preimage, the original triangle, before its dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
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2
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