Resources
Testimonials
Plans
Sign in
Sign up
Resources
Testimonials
Plans
Home
Math Problems
Geometry
Pythagorean theorem
Chelsea is sitting
8
8
8
feet from the foot of a tree. From where she is sitting, the angle of elevation of her line of sight to the top of the tree is
3
6
∘
36^{\circ}
3
6
∘
. If her line of sight starts
1.5
1.5
1.5
feet above ground, how tall is the tree, to the nearest foot?
Get tutor help
A man starts walking north at
2
ft
s
2\frac{\text{ft}}{\text{s}}
2
s
ft
from a point
P
P
P
. Five minutes later a woman starts walking south at
5
ft
s
5\frac{\text{ft}}{\text{s}}
5
s
ft
from a point
500
ft
500\text{ft}
500
ft
due east of
P
P
P
. At what rate are the people moving apart
15
min
15\text{min}
15
min
after the woman starts walking? (Round your answer to two decimal places.)
\newline
ft
/
s
\text{ft}/\text{s}
ft
/
s
Get tutor help
Find the volume of a cube with a side length of
4
m
4 \mathrm{~m}
4
m
, to the nearest tenth of a cubic meter (if necessary).
\newline
Answer:
m
3
\mathrm{m}^{3}
m
3
Get tutor help
The hypotenuse of a right triangle measures
17
c
m
17 \mathrm{~cm}
17
cm
and one of its legs measures
15
c
m
15 \mathrm{~cm}
15
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
One of the legs of a right triangle measures
7
c
m
7 \mathrm{~cm}
7
cm
and its hypotenuse measures
9
c
m
9 \mathrm{~cm}
9
cm
.
\newline
Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
One of the legs of a right triangle measures
9
c
m
9 \mathrm{~cm}
9
cm
and the other leg measures
12
c
m
12 \mathrm{~cm}
12
cm
.
\newline
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
The hypotenuse of a right triangle measures
10
c
m
10 \mathrm{~cm}
10
cm
and one of its legs measures
9
c
m
9 \mathrm{~cm}
9
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
One of the legs of a right triangle measures
12
c
m
12 \mathrm{~cm}
12
cm
and its hypotenuse measures
13
c
m
13 \mathrm{~cm}
13
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
One of the legs of a right triangle measures
4
c
m
4 \mathrm{~cm}
4
cm
and its hypotenuse measures
5
c
m
5 \mathrm{~cm}
5
cm
.
\newline
Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
The hypotenuse of a right triangle measures
13
c
m
13 \mathrm{~cm}
13
cm
and one of its legs measures
5
c
m
5 \mathrm{~cm}
5
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
One of the legs of a right triangle measures
9
c
m
9 \mathrm{~cm}
9
cm
and the other leg measures
10
c
m
10 \mathrm{~cm}
10
cm
. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
One of the legs of a right triangle measures
6
c
m
6 \mathrm{~cm}
6
cm
and its hypotenuse measures
10
c
m
10 \mathrm{~cm}
10
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
The hypotenuse of a right triangle measures
15
c
m
15 \mathrm{~cm}
15
cm
and one of its legs measures
12
12
12
c
m
\mathrm{cm}
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
The hypotenuse of a right triangle measures
10
c
m
10 \mathrm{~cm}
10
cm
and one of its legs measures
6
c
m
6 \mathrm{~cm}
6
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
The hypotenuse of a right triangle measures
9
c
m
9 \mathrm{~cm}
9
cm
and one of its legs measures
2
c
m
2 \mathrm{~cm}
2
cm
. Find the measure of the other leg. If necessary, round to the nearest tenth.
\newline
Answer:
□
\square
□
c
m
\mathrm{cm}
cm
Get tutor help
Whenever she visits Kensington, Elise has to drive
8
8
8
miles due north from home, Whenever she visits Richmond, she has to drive
5
5
5
miles due east from home, How far apart are Kensington and Richmond, measured in a straight line? If necessary, round to the nearest tenth.
\newline
miles
Get tutor help
Three ballet dancers are positioned on stage. Kate is straight behind Maura and directly left of Craig. If Maura and Kate are
7
7
7
meters apart, and Craig and Maura are
9
9
9
meters apart, what is the distance between Kate and Craig? If necessary, round to the nearest tenth.
\newline
meters
Get tutor help
Layla leans a
26
26
26
-foot ladder against a wall so that it forms an angle of
6
1
∘
61^{\circ}
6
1
∘
with the ground. How high up the wall does the ladder reach? Round your answer to the nearest tenth of a foot if necessary.
Get tutor help
Two boxes have the same volume. One box has a base that is
5
c
m
5 \mathrm{~cm}
5
cm
by
5
c
m
5 \mathrm{~cm}
5
cm
. The other box has a base that is
10
c
m
10 \mathrm{~cm}
10
cm
by
10
c
m
10 \mathrm{~cm}
10
cm
.
\newline
How many times as tall is the box with the smaller base?
\newline
□
\square
□
times as tall
Get tutor help
Eliana drove her car
81
k
m
81 \mathrm{~km}
81
km
and used
9
9
9
liters of fuel. She wants to know how many kilometers
(
x
)
(x)
(
x
)
she can drive on
22
22
22
liters of fuel. She assumes her car will continue consuming fuel at the same rate.
\newline
How far can Eliana drive on
22
22
22
liters of fuel?
\newline
k
m
\mathrm{km}
km
Get tutor help
Yoku is putting on sunscreen. He uses
2
m
l
2 \mathrm{ml}
2
ml
to cover
50
c
m
2
50 \mathrm{~cm}^{2}
50
cm
2
of his skin. He wants to know how many milliliters of sunscreen
(
c
)
(c)
(
c
)
he needs to cover
325
c
m
2
325 \mathrm{~cm}^{2}
325
cm
2
of his skin.
\newline
How many milliliters of sunscreen does Yoku need to cover
325
c
m
2
325 \mathrm{~cm}^{2}
325
cm
2
of his skin?
\newline
m
l
\mathrm{ml}
ml
Get tutor help
Ted likes to run long distances. He can run
20
k
m
20 \mathrm{~km}
20
km
in
95
95
95
minutes. He wants to know how many kilometers
(
k
)
(k)
(
k
)
he will go if he runs at the same pace for
285
\mathbf{2 8 5}
285
minutes.
\newline
How far will Ted run in
285
285
285
minutes?
\newline
k
m
\mathrm{km}
km
Get tutor help
Rosa is building a guitar. The second fret is
33.641
m
m
33.641 \mathrm{~mm}
33.641
mm
from the first fret. The third fret is
31.749
m
m
31.749 \mathrm{~mm}
31.749
mm
from the second fret.
\newline
How far is the third fret from the first fret?
\newline
m
m
\mathrm{mm}
mm
Get tutor help
Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism
20
c
m
20 \mathrm{~cm}
20
cm
wide by
28
c
m
28 \mathrm{~cm}
28
cm
long. Whitney puts
1848
c
m
3
1848 \mathrm{~cm}^{3}
1848
cm
3
of batter into the pan.
\newline
How deep is the cake batter?
\newline
cm
Get tutor help
Salma went on a walk in her neighborhood.
\newline
First, she walked on a straight road for
2
k
m
2 \mathrm{~km}
2
km
. The direction of the road is a
2
0
∘
20^{\circ}
2
0
∘
rotation from east.
\newline
Then, she turned into a different road whose direction is a
10
0
∘
100^{\circ}
10
0
∘
rotation from east. She walked on that road for
3
k
m
3 \mathrm{~km}
3
km
.
\newline
How far is Salma from her starting point at the end of the walk? Round your answer to the nearest tenth. You can round intermediate values to the nearest hundredth.
\newline
k
m
\mathrm{km}
km
Get tutor help
Cecelia went on a hiking trip. The first day she walked
27
27
27
kilometers. Each day since, she walked
2
3
\frac{2}{3}
3
2
of what she walked the day before.
\newline
What is the total distance Cecelia has traveled by the end of the
5
th
5^{\text {th }}
5
th
day?
\newline
Round your final answer to the nearest kilometer.
\newline
k
m
\mathrm{km}
km
Get tutor help
Antonio's toy boat is bobbing in the water under a dock. The vertical distance
H
H
H
(in
c
m
\mathrm{cm}
cm
) between the dock and the top of the boat's mast
t
t
t
seconds after its first peak is modeled by the following function. Here,
t
t
t
is entered in radians.
\newline
H
(
t
)
=
5
cos
(
2
π
3
t
)
H(t)=5 \cos \left(\frac{2 \pi}{3} t\right)
H
(
t
)
=
5
cos
(
3
2
π
t
)
\newline
How long does it take the toy boat to bob down from its peak to a height of
−
35
c
m
-35 \mathrm{~cm}
−
35
cm
?
\newline
Round your final answer to the nearest tenth of a second.
\newline
seconds
Get tutor help
The great snipe is the fastest known migratory bird. Scientists found that the bird can fly non-stop for approximately
4200
4200
4200
miles (mi). If the bird's speed is an average of
98
98
98
kilometers per hour
(
k
m
h
r
)
\left(\frac{\mathrm{km}}{\mathrm{hr}}\right)
(
hr
km
)
, how many hours can the great snipe fly without stopping?
\newline
(Round the answer to the nearest tenth.
1
1
1
kilometer
≈
0.62
\approx 0.62
≈
0.62
miles)
Get tutor help
Angela is building a pool that is
25
\mathbf{2 5}
25
meters long. She has selected tiles to put around the edge of the pool. If each tile is
8
8
8
inches long, how many tiles does she need for one
25
25
25
-meter side of the pool?
\newline
(
1
1
1
meter
≈
3.28
\approx 3.28
≈
3.28
feet)
Get tutor help
A cube of gold with an edge length of
3
3
3
inches (in) is melted and reformed into a rectangular prism with a width of
2
2
2
.
5
5
5
in and a height of
2
i
n
2 \mathrm{in}
2
in
. If the volume is unchanged during melting, what is the length of the prism of gold in inches?
Get tutor help
Emeka forms a ball of clay with a radius of
3
3
3
centimeters
(
c
m
)
(\mathrm{cm})
(
cm
)
. He then reforms the clay into a cylinder of radius
2
c
m
2 \mathrm{~cm}
2
cm
. What is the height of the cylinder in centimeters, rounded to the nearest tenth?
Get tutor help
A rectangular prism and cube have equal volumes. The length of the rectangular prism is
12
12
12
centimeters
(
c
m
)
(\mathrm{cm})
(
cm
)
and its width is
8
c
m
8 \mathrm{~cm}
8
cm
. If each side of the cube is
12
c
m
12 \mathrm{~cm}
12
cm
, then what is the height of the rectangular prism in centimeters?
Get tutor help
The chambered nautilus is a deepsea creature with a spiral shell that can withstand pressure up to
1180
1180
1180
pounds per square inch (psi). Underwater pressure consists of atmospheric pressure, which is
14.7
p
s
i
14.7 \mathrm{psi}
14.7
psi
, plus
0.45
p
s
i
0.45 \mathrm{psi}
0.45
psi
of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?
Get tutor help
To get to school, Da'Quon walks
0
0
0
.
6
6
6
miles from his house to the bus stop. He then takes the bus for
3
3
3
.
9
9
9
miles. After he gets off the bus, he can choose one of several walking routes to school. The total number of miles he travels, via walking and bus, does not exceed
5
5
5
.
4
4
4
. What is the greatest possible number of miles he walks after getting off the bus?
\newline
Choose
1
1
1
answer:
\newline
(A)
0
0
0
.
0
0
0
miles
\newline
(B)
0
0
0
.
3
3
3
miles
\newline
(C)
0
0
0
.
9
9
9
miles
\newline
(D)
1
1
1
.
5
5
5
miles
Get tutor help
Mr. Mole left his burrow and started digging his way down.
\newline
A
A
A
represents Mr. Mole's altitude relative to the ground (in meters) after
t
t
t
minutes.
\newline
A
=
−
2.3
t
−
7
A=-2.3 t-7
A
=
−
2.3
t
−
7
\newline
How far below the ground does Mr. Mole's burrow lie?
\newline
meters below the ground
Get tutor help
Imani's grandmother's house is
5
5
5
miles west of her own house down Main Street. While at her grandmother's, Imani decides to ride her bike farther west down Main Street at
10
10
10
miles per hour. Which equation best describes the distance,
d
d
d
, in miles, Imani is from home after
t
t
t
hours?
\newline
Choose
1
1
1
answer:
\newline
(A)
d
=
5
+
10
t
d=5+10 t
d
=
5
+
10
t
\newline
(B)
d
=
5
−
10
t
d=5-10 t
d
=
5
−
10
t
\newline
(C)
d
=
5
t
+
10
d=5 t+10
d
=
5
t
+
10
\newline
(D)
d
=
5
t
−
10
d=5 t-10
d
=
5
t
−
10
Get tutor help
J
i
\mathrm{Ji}
Ji
-Hun and Kana are running a marathon. Due to the volume of people running, the starts occur in waves. Kana starts at
9
:
35
9: 35
9
:
35
a
.
m
\mathrm{a} . \mathrm{m}
a
.
m
. and runs at an average rate of
7
7
7
miles per hour (mph). Ji-Hun starts at
10
:
00
10: 00
10
:
00
a
.
m
\mathrm{a} . \mathrm{m}
a
.
m
. and runs at an average rate of
8
m
p
h
8 \mathrm{mph}
8
mph
. Assuming constant paces and no stops, to the nearest tenth of a mile, in how many miles will Ji-Hun catch up to Kana?
Get tutor help
A right pyramid with a square base has a volume of
252
252
252
cubic centimeters. The length of one of the sides of its base is
6
6
6
centimeters. Rounded to the nearest centimeter, what is the vertical height of the pyramid?
Get tutor help
A multi-layer cake is in the shape of a right cylinder. The height of the cake is
20
20
20
centimeters
(
c
m
)
(\mathrm{cm})
(
cm
)
, and its radius is
10
c
m
10 \mathrm{~cm}
10
cm
. If each of the cake layers has a volume of approximately
1
1
1
,
250
250
250
cubic centimeters, then how many layers does the cake have?
Get tutor help
Previous
1
2
