Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Algebra 1
Scale drawings: word problems
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
Get tutor help
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
Get tutor help
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
Get tutor help
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
Get tutor help
A rectangle with a perimeter of
126
126
126
units is the image of a rectangle that was dilated by a scale factor of
1
2
\frac{1}{2}
2
1
. Find the perimeter of the preimage, the original rectangle, before its dilation. Round your answer to the nearest tenth, if necessary.
\newline
Answer: units
Get tutor help
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
Get tutor help
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
Get tutor help
The volume of a right cone is
3750
π
3750 \pi
3750
π
units
3
^{3}
3
. If its circumference measures
30
π
30 \pi
30
π
units, find its height.
\newline
Answer: units
Get tutor help
A scientist mixed three chemicals,
R
R
R
,
S
S
S
, and
T
T
T
, in a glass container. The amount of
R
R
R
is
3
3
3
times the amount of
S
S
S
, and the amount of
T
T
T
is
(
1
)
/
(
6
)
(1)/(6)
(
1
)
/
(
6
)
the amount of
S
S
S
. What is the ratio of the amount of
R
R
R
to the amount of
T
T
T
?
\newline
E.
S
S
S
1
1
1
\newline
F.
S
S
S
2
2
2
\newline
G.
S
S
S
3
3
3
\newline
H.
S
S
S
4
4
4
Get tutor help
Topics: Long division
\newline
On dividing
426
426
426
by
4
4
4
, we get the remainder as
\newline
0
0
0
\newline
2
2
2
\newline
4
4
4
\newline
6
6
6
Get tutor help
Polygon
H
H
H
is a scaled copy of Polygon
G
G
G
using a scale factor of
1
4
\frac{1}{4}
4
1
.
\newline
Polygon
H
H
H
's area is what fraction of Polygon
G
′
G^{\prime}
G
′
's area?
Get tutor help
Polygon
Q
Q
Q
is a scaled copy of Polygon
P
P
P
using a scale factor of
1
2
\frac{1}{2}
2
1
.
\newline
Polygon
Q
Q
Q
's area is what fraction of Polygon
P
′
s
P^{\prime} \mathrm{s}
P
′
s
area?
Get tutor help
Polygon
Y
Y
Y
is a scaled copy of Polygon
X
X
X
using a scale factor of
1
3
\frac{1}{3}
3
1
.
\newline
Polygon
Y
′
Y^{\prime}
Y
′
's area is what fraction of Polygon
X
X
X
's area?
Get tutor help
Polygon
F
F
F
has an area of
36
36
36
square units. Aimar drew a scaled version of Polygon
F
F
F
and labeled it Polygon
G
G
G
. Polygon
G
G
G
has an area of
4
4
4
square units.
\newline
What scale factor did Aimar use to go from Polygon
F
F
F
to Polygon
G
G
G
?
Get tutor help
The following data points represent the yearly salaries of high school cheerleading coaches in Dakota County (in thousands of dollars).
\newline
41
,
38
,
36
,
57
,
43
41,38,36,57,43
41
,
38
,
36
,
57
,
43
\newline
Find the mean absolute deviation (MAD) of the data set.
\newline
thousand dollars
Get tutor help
A group of friends went to play minigolf at Adventureland. Anna's score was
26
26
26
putts, Daniela's score was
31
31
31
putts, Luiza's score was
39
39
39
putts, and Vera's score was
32
32
32
putts.
\newline
Find the mean absolute deviation (MAD) of the data set.
\newline
putts
Get tutor help
Cayden has several screws on a scale, and the scale reads
80.955
g
80.955 \mathrm{~g}
80.955
g
. Cayden adds
1
1
1
more screw, and the scale reads
84.81
g
84.81 \mathrm{~g}
84.81
g
.
\newline
What is the mass of the last screw Cayden adds?
\newline
g
Get tutor help
The following are all angle measures (in radians, rounded to the nearest hundredth) whose sine is
0
0
0
.
98
98
98
.
\newline
Which is the principal value of
arcsin
(
0.98
)
?
\arcsin (0.98) ?
arcsin
(
0.98
)?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
11
-11
−
11
.
20
20
20
\newline
(B)
−
4
-4
−
4
.
91
91
91
\newline
(C)
1.37
\mathbf{1 . 3 7}
1.37
\newline
(D)
7
7
7
.
65
65
65
Get tutor help
A pendulum is swinging next to a wall. The distance from the bob of the swinging pendulum to the wall varies in a periodic way that can be modeled by a trigonometric function.
\newline
The function has period
0
0
0
.
8
8
8
seconds, amplitude
6
c
m
6 \mathrm{~cm}
6
cm
, and midline
H
=
15
c
m
H=15 \mathrm{~cm}
H
=
15
cm
. At time
t
=
0.5
t=0.5
t
=
0.5
seconds, the bob is at its midline, moving towards the wall.
\newline
Find the formula of the trigonometric function that models the distance
H
H
H
from the pendulum's bob to the wall after
t
t
t
seconds. Define the function using radians.
\newline
H
(
t
)
=
□
H(t)=\square
H
(
t
)
=
□
Get tutor help
Avery is designing a large rectangular sign. They want the sign to have an area of
2
m
2
2 \mathrm{~m}^{2}
2
m
2
and a width of
4
5
m
\frac{4}{5} \mathrm{~m}
5
4
m
.
\newline
How tall should the sign be?
\newline
m
Get tutor help
S
E
=
σ
n
S E=\frac{\sigma}{\sqrt{n}}
SE
=
n
σ
\newline
The given equation relates the standard error,
S
E
S E
SE
, of a sample mean to the population standard deviation,
σ
\sigma
σ
, and the size of the sample,
n
n
n
. Which of the following equations correctly gives the size of the sample in terms of the standard error and the population standard deviation?
\newline
Choose
1
1
1
answer:
\newline
(A)
n
=
(
σ
S
E
)
2
n=\left(\frac{\sigma}{S E}\right)^{2}
n
=
(
SE
σ
)
2
\newline
(B)
n
=
σ
2
S
E
n=\frac{\sigma^{2}}{S E}
n
=
SE
σ
2
\newline
(C)
n
=
(
σ
S
E
)
n=\sqrt{\left(\frac{\sigma}{S E}\right)}
n
=
(
SE
σ
)
\newline
(D)
n
=
σ
S
E
n=\frac{\sqrt{\sigma}}{S E}
n
=
SE
σ
Get tutor help
With a mass of
112
112
112
.
67
67
67
grams, the Star of India is one of the largest star sapphires in the world. The density of a star sapphire is approximately
4
4
4
.
0
0
0
grams per cubic centimeter. Which of the following best approximates the volume, in cubic centimeters, of the Star of India?
\newline
(Density is mass per unit volume.)
\newline
Choose
1
1
1
answer:
\newline
(A)
26
26
26
\newline
(B)
28
28
28
\newline
(C)
30
30
30
\newline
(D)
32
32
32
Get tutor help
A cake pan is in the shape of a right rectangular prism
20
20
20
centimeters (cm) long by
20
c
m
20 \mathrm{~cm}
20
cm
wide by
5
c
m
5 \mathrm{~cm}
5
cm
high. The pan contains
1
1
1
,
000
000
000
cubic centimeters
(
c
m
3
)
\left(\mathrm{cm}^{3}\right)
(
cm
3
)
of batter.
\newline
Approximately how far is the cake batter from the top of the pan?
\newline
Choose
1
1
1
answer:
\newline
(A)
1
c
m
1 \mathrm{~cm}
1
cm
\newline
(B)
2.5
c
m
2.5 \mathrm{~cm}
2.5
cm
\newline
(C)
5
c
m
5 \mathrm{~cm}
5
cm
\newline
(D)
7
c
m
7 \mathrm{~cm}
7
cm
Get tutor help
The temperature,
T
T
T
, within a rod
x
x
x
centimeters from the rod's left end is modeled by the following equation:
\newline
T
=
−
110
+
0.13
x
(
21
−
x
)
T=-110+0.13 x(21-x)
T
=
−
110
+
0.13
x
(
21
−
x
)
\newline
Both ends of the rod have the same temperature. According to the model, what is the length of the rod in centimeters?
Get tutor help
The surface of a road curves like a parabola to allow water to drain off of it. The given equation shows the surface height,
y
y
y
, in feet above the base at a point
x
x
x
feet from the left edge of the road.
\newline
y
=
−
0.0015
x
(
x
−
40
)
y=-0.0015 x(x-40)
y
=
−
0.0015
x
(
x
−
40
)
\newline
The base has the same width as the road. What is the width of the road in feet?
Get tutor help
A
(
x
)
=
(
2
x
+
8
)
(
2
x
+
10
)
A(x)=(2 x+8)(2 x+10)
A
(
x
)
=
(
2
x
+
8
)
(
2
x
+
10
)
\newline
The function models
A
A
A
, the area, in square inches, of a rectangular framed picture with an
8
8
8
inch by
10
10
10
inch picture and a frame width of
x
x
x
inches. What is the area, in square inches, of the framed picture if the frame is
0
0
0
.
5
5
5
inch wide?
Get tutor help
A circle has a circumference of
4
π
4 \pi
4
π
feet (ft). An arc,
x
x
x
, in this circle has a central angle of
24
0
∘
240^{\circ}
24
0
∘
. What is the length of
x
x
x
?
\newline
Choose
1
1
1
answer:
\newline
(A)
4
π
3
f
t
\frac{4 \pi}{3} \mathrm{ft}
3
4
π
ft
\newline
(B)
8
π
3
f
t
\frac{8 \pi}{3} \mathrm{ft}
3
8
π
ft
\newline
(C)
480
f
t
480 \mathrm{ft}
480
ft
\newline
(D)
960
f
t
960 \mathrm{ft}
960
ft
Get tutor help
The moon has a volume of about
4
3
π
(
1
2
3
)
3
\frac{4}{3} \pi\left(12^{3}\right)^{3}
3
4
π
(
1
2
3
)
3
cubic kilometers. The earth has a volume of about
4
3
π
(
16
⋅
2
0
2
)
3
\frac{4}{3} \pi\left(16 \cdot 20^{2}\right)^{3}
3
4
π
(
16
⋅
2
0
2
)
3
cubic kilometers. The radius of the earth is
u
27
\frac{u}{27}
27
u
times as long as the radius of the moon. What is the value of
u
u
u
?
Get tutor help
A cylindrical glass of water is
2
2
2
.
5
5
5
centimeters tall and holds a volume of
20
20
20
cubic centimeters of water.
\newline
The radius of the glass is
p
π
\sqrt{\frac{p}{\pi}}
π
p
centimeters, where
p
p
p
is a constant. What is the value of
p
p
p
?
Get tutor help
A conical glass holds
131
131
131
cubic centimeters of water. It has a height of
5
5
5
centimeters. The radius of the top of the glass is
m
5
π
\sqrt{\frac{m}{5 \pi}}
5
π
m
centimeters, where
m
m
m
is a constant. What is the value of
m
m
m
?
Get tutor help
Eric made a scale drawing of the auditorium. The stage, which is \(35\) feet wide in real life, is \(5\) inches wide in the drawing. What is the scale of the drawing? \(1\) inch :
_
_
_
_
_
\_\_\_\_\_
_____
feet
Get tutor help
Previous
1
2