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Math Problems
Algebra 2
Find trigonometric functions using a calculator
Question
7
7
7
\newline
Find the value of
x
x
x
. The hypotenuse of the formed triangle is
32
32
32
. Round to the nearest hundredth.
\newline
□
\square
□
\newline
Search
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rCumference of Circles
\newline
Find the circumference of the bottle cap.
U
U
U
3
3
3
.
14
14
14
for
π
\pi
π
. Round to the nearest hundredth necessary. (Example
1
1
1
)
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ixl.com/math/geometry/inscribed-angles?ImsPlatform=
1
1
1
\newline
Monthly Budget ken...
\newline
d Desmos / Graphing...
\newline
Credibility of Source...
\newline
Graphic Organi
\newline
What is
m
∠
V
U
W
m \angle V U W
m
∠
V
U
W
?
\newline
Write your answer as an integer or decimal.
\newline
m
∠
V
U
W
=
m \angle V U W=
m
∠
V
U
W
=
□
\square
□
\newline
Submit
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Find equivalent hundredths and thousandths.
\newline
280
1000
=
\frac{280}{1000}=
1000
280
=
hundredths
=
=
=
\qquad
thousandths
\newline
2
2
2
\newline
□
\square
□
\newline
Submit Answer
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Find the rate of interest.
\newline
115.00
=
100
(
1
+
r
4
)
4
⋅
1
115.00=100\left(1+\frac{r}{4}\right)^{4 \cdot 1}
115.00
=
100
(
1
+
4
r
)
4
⋅
1
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Calculate.
\newline
Δ
P
=
6.2
×
(
45000
0
1
3
120
)
1.1
\Delta P = 6.2 \times \left(\frac{450000^{\frac{1}{3}}}{120}\right)^{1.1}
Δ
P
=
6.2
×
(
120
45000
0
3
1
)
1.1
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Math To Do, i-Ready
\newline
om/student/dashboard/home
\newline
Unit Rates for Ratios with Fractions, Part
2
2
2
- Instruction - Level G
\newline
jellyfish travels
3
5
\frac{3}{5}
5
3
mile in
1
6
\frac{1}{6}
6
1
hour and a walrus travels
5
6
\frac{5}{6}
6
5
mile in
3
10
\frac{3}{10}
10
3
hour. Which animal is faster?
\newline
Find the jellyfish's speed in miles per hour.
\newline
The jellyfish has a speed of
□
\square
□
miles ser hour.
\newline
Find the walrus' speed in miles per hour.
\newline
The walrus has a speed of per hour.
\newline
5
6
3
10
=
5
6
÷
3
10
\frac{\frac{5}{6}}{\frac{3}{10}}=\frac{5}{6} \div \frac{3}{10}
10
3
6
5
=
6
5
÷
10
3
\newline
An error has occurred. Please enter a ir
\newline
\begin{tabular}{|c|c|c|c|}
\newline
\hline \multicolumn{
4
4
4
}{|c|}{... } \\
\newline
\hline
7
7
7
&
8
8
8
&
9
9
9
&
x
\mathbf{x}
x
\\
\newline
\hline
4
4
4
&
5
5
5
&
6
6
6
& - \\
\newline
\hline
1
1
1
&
2
2
2
&
3
3
3
&
⇒
\Rightarrow
⇒
\\
\newline
\hline
0
0
0
& &
(
−
)
(-)
(
−
)
& 믐 \\
\newline
\hline
\newline
\end{tabular}
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Simplify.
\newline
5
×
1
0
2
3
×
1
0
8
\frac{5 \times 10^{2}}{3 \times 10^{8}}
3
×
1
0
8
5
×
1
0
2
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Solve for
x
x
x
to the nearest
10
10
10
th.
\newline
3000
=
6680
(
0.985
)
x
−
1200
3000=6680(0.985)^{x}-1200
3000
=
6680
(
0.985
)
x
−
1200
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A list of numbers ordered from least value to greatest value is shown. One number is missing.
\newline
18
5
,
3.71
,
_
_
_
_
_
,
17
\frac{18}{5}, 3.71, \_\_\_\_\_, \sqrt{17}
5
18
,
3.71
,
_____
,
17
\newline
Which number could be the missing number?
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The angle of elevation to a nearby tree from a point on the ground is measured to be
6
4
∘
64^{\circ}
6
4
∘
. How tall is the tree if the point on the ground is
49
49
49
feet from the bottom of the tree? Round your answer to the nearest hundredth of a foot if necessary.
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The following are all angle measures (in radians, rounded to the nearest hundredth) whose cosine is
−
0.26
\mathbf{- 0 . 2 6}
−
0.26
.
\newline
Which is the principal value of
cos
−
1
(
−
0.26
)
\cos ^{-1}(-0.26)
cos
−
1
(
−
0.26
)
?
\newline
Choose
1
1
1
answer:
\newline
(A)
−
17
-17
−
17
.
02
02
02
\newline
(B)
−
10
-10
−
10
.
73
73
73
\newline
(C)
−
4
-4
−
4
.
45
45
45
\newline
(D)
1
1
1
.
83
83
83
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Find
z
α
/
2
z_{\alpha / 2}
z
α
/2
for
α
=
0.13
\alpha=0.13
α
=
0.13
.
\newline
z
α
/
2
=
□
\mathrm{z}_{\alpha / 2}=\square
z
α
/2
=
□
(Round to two decimal places as needed.)
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1.6
(
y
2
+
5
)
=
13.4
y
1.6\left(y^{2}+5\right)=13.4 y
1.6
(
y
2
+
5
)
=
13.4
y
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(
x
+
55
)
2
+
(
y
−
11.5
)
2
=
121
(x+55)^2+(y-11.5)^2=121
(
x
+
55
)
2
+
(
y
−
11.5
)
2
=
121
what is the diameter
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In
△
N
O
P
,
p
=
760
\triangle \mathrm{NOP}, p=760
△
NOP
,
p
=
760
inches,
o
=
710
o=710
o
=
710
inches and
∠
O
=
12
4
∘
\angle \mathrm{O}=124^{\circ}
∠
O
=
12
4
∘
. Find all possible values of
∠
P
\angle \mathrm{P}
∠
P
, to the nearest degree.
\newline
Answer:
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In
△
V
W
X
,
w
=
510
\triangle \mathrm{VWX}, w=510
△
VWX
,
w
=
510
inches,
v
=
890
v=890
v
=
890
inches and
∠
V
=
13
7
∘
\angle \mathrm{V}=137^{\circ}
∠
V
=
13
7
∘
. Find all possible values of
∠
W
\angle \mathrm{W}
∠
W
, to the nearest degree.
\newline
Answer:
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In
△
M
N
O
,
n
=
57
\triangle \mathrm{MNO}, n=57
△
MNO
,
n
=
57
inches,
m
=
69
m=69
m
=
69
inches and
∠
M
=
5
8
∘
\angle \mathrm{M}=58^{\circ}
∠
M
=
5
8
∘
. Find all possible values of
∠
N
\angle \mathrm{N}
∠
N
, to the nearest
10
10
10
th of a degree.
\newline
Answer:
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In
△
N
O
P
,
n
=
300
c
m
,
p
=
100
c
m
\triangle \mathrm{NOP}, n=300 \mathrm{~cm}, p=100 \mathrm{~cm}
△
NOP
,
n
=
300
cm
,
p
=
100
cm
and
∠
P
=
4
5
∘
\angle \mathrm{P}=45^{\circ}
∠
P
=
4
5
∘
. Find all possible values of
∠
N
\angle \mathrm{N}
∠
N
, to the nearest degree.
\newline
Answer:
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In
Δ
S
T
U
,
t
=
77
\Delta \mathrm{STU}, t=77
Δ
STU
,
t
=
77
inches,
s
=
22
s=22
s
=
22
inches and
∠
S
=
16
1
∘
\angle \mathrm{S}=161^{\circ}
∠
S
=
16
1
∘
. Find all possible values of
∠
T
\angle \mathrm{T}
∠
T
, to the nearest degree.
\newline
Answer:
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In
△
D
E
F
,
e
=
840
\triangle \mathrm{DEF}, e=840
△
DEF
,
e
=
840
inches,
d
=
760
d=760
d
=
760
inches and
∠
D
=
13
4
∘
\angle \mathrm{D}=134^{\circ}
∠
D
=
13
4
∘
. Find all possible values of
∠
E
\angle \mathrm{E}
∠
E
, to the nearest degree.
\newline
Answer:
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In
△
T
U
V
,
u
=
8.4
c
m
,
t
=
8
c
m
\triangle \mathrm{TUV}, u=8.4 \mathrm{~cm}, t=8 \mathrm{~cm}
△
TUV
,
u
=
8.4
cm
,
t
=
8
cm
and
∠
T
=
7
2
∘
\angle \mathrm{T}=72^{\circ}
∠
T
=
7
2
∘
. Find all possible values of
∠
U
\angle \mathrm{U}
∠
U
, to the nearest
10
10
10
th of a degree.
\newline
Answer:
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In
△
W
X
Y
,
x
=
450
\triangle \mathrm{WXY}, x=450
△
WXY
,
x
=
450
inches,
w
=
220
w=220
w
=
220
inches and
∠
W
=
15
7
∘
\angle \mathrm{W}=157^{\circ}
∠
W
=
15
7
∘
. Find all possible values of
∠
X
\angle \mathrm{X}
∠
X
, to the nearest
10
10
10
th of a degree.
\newline
Answer:
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In
△
F
G
H
,
g
=
190
c
m
,
f
=
900
c
m
\triangle \mathrm{FGH}, g=190 \mathrm{~cm}, f=900 \mathrm{~cm}
△
FGH
,
g
=
190
cm
,
f
=
900
cm
and
∠
F
=
2
7
∘
\angle \mathrm{F}=27^{\circ}
∠
F
=
2
7
∘
. Find all possible values of
∠
G
\angle \mathrm{G}
∠
G
, to the nearest
10
10
10
th of a degree.
\newline
Answer:
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In
Δ
M
N
O
,
o
=
870
\Delta \mathrm{MNO}, o=870
Δ
MNO
,
o
=
870
inches,
n
=
550
n=550
n
=
550
inches and
∠
N
=
1
8
∘
\angle \mathrm{N}=18^{\circ}
∠
N
=
1
8
∘
. Find all possible values of
∠
O
\angle \mathrm{O}
∠
O
, to the nearest degree.
\newline
Answer:
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In
△
F
G
H
,
g
=
170
c
m
,
f
=
960
c
m
\triangle \mathrm{FGH}, g=170 \mathrm{~cm}, f=960 \mathrm{~cm}
△
FGH
,
g
=
170
cm
,
f
=
960
cm
and
∠
F
=
1
9
∘
\angle \mathrm{F}=19^{\circ}
∠
F
=
1
9
∘
. Find all possible values of
∠
G
\angle \mathrm{G}
∠
G
, to the nearest
10
10
10
th of a degree.
\newline
Answer:
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In
△
H
I
J
,
j
=
8.6
c
m
,
i
=
4.6
c
m
\triangle \mathrm{HIJ}, j=8.6 \mathrm{~cm}, i=4.6 \mathrm{~cm}
△
HIJ
,
j
=
8.6
cm
,
i
=
4.6
cm
and
∠
I
=
15
8
∘
\angle \mathrm{I}=158^{\circ}
∠
I
=
15
8
∘
. Find all possible values of
∠
J
\angle \mathrm{J}
∠
J
, to the nearest
10
10
10
th of a degree.
\newline
Answer:
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In
△
O
P
Q
,
p
=
39
\triangle \mathrm{OPQ}, p=39
△
OPQ
,
p
=
39
inches,
o
=
66
o=66
o
=
66
inches and
∠
O
=
8
1
∘
\angle \mathrm{O}=81^{\circ}
∠
O
=
8
1
∘
. Find all possible values of
∠
P
\angle \mathrm{P}
∠
P
, to the nearest degree.
\newline
Answer:
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Find the
8
th
8^{\text {th }}
8
th
term in the sequence
\newline
−
1
2
,
−
1
,
−
2
,
−
4
,
…
-\frac{1}{2},-1,-2,-4, \ldots
−
2
1
,
−
1
,
−
2
,
−
4
,
…
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Carter measures a line to be
8.75
c
m
8.75 \mathrm{~cm}
8.75
cm
long. If the actual measurement is
9
c
m
9 \mathrm{~cm}
9
cm
, find Carter's relative error to the nearest hundredth.
\newline
Answer:
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Carter measures a line to be
3.19
c
m
3.19 \mathrm{~cm}
3.19
cm
long. If the actual measurement is
3
c
m
3 \mathrm{~cm}
3
cm
, find Carter's relative error to the nearest hundredth.
\newline
Answer:
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49
49
49
.
8
8
8
is what percent of
128
128
128
? Round to the nearest thousandth.
\newline
Answer:
□
\square
□
%
\%
%
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294
294
294
.
6
6
6
is what percent of
256
256
256
? Round to the nearest hundredth.
\newline
Answer:
□
\square
□
%
\%
%
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102
102
102
.
7
7
7
is what percent of
64
64
64
? Round to the nearest hundredth.
\newline
Answer:
□
\square
□
%
\%
%
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200
=
1800
(
1.05
)
x
200=1800(1.05)^{x}
200
=
1800
(
1.05
)
x
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−
3
z
−
(
−
z
−
2
)
{-3z-(-z-2)}
−
3
z
−
(
−
z
−
2
)
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17
=
(
−
14
)
+
k
17=\left(-14\right)+k
17
=
(
−
14
)
+
k
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Which of the following is a natural number?
\newline
Choices:
\newline
(A)
7
7
7
\newline
(B)
3
7
\frac{3}{7}
7
3
\newline
(C)
7.555
…
7.555\ldots
7.555
…
\newline
(D)
π
\pi
π
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Which of the following is an integer?
\newline
Choices:
\newline
(A)
−
6
-6
−
6
\newline
(B)
10
\sqrt{10}
10
\newline
(C)
8.666
…
8.666\ldots
8.666
…
\newline
(D)
π
\pi
π
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Which decimal is equivalent to
25
6
\frac{25}{6}
6
25
?
\newline
Choose
1
1
1
answer:
\newline
(A)
4.
1
‾
4.\overline{1}
4.
1
\newline
(B)
4.
16
‾
4.\overline{16}
4.
16
\newline
(C)
4.1
6
‾
4.1\overline{6}
4.1
6
\newline
(D)
4.
667
‾
4.\overline{667}
4.
667
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Now the time is
4
:
45
p
m
4: 45 \mathrm{pm}
4
:
45
pm
. What time will it be after
2
2
2
hours nad
25
25
25
minutes?
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0.05
12
⋅
205
,
000
=
\frac{0.05}{12} \cdot 205,000=
12
0.05
⋅
205
,
000
=
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Mia paints interior walls at a rate of
12
m
2
h
12 \frac{\mathrm{m}^{2}}{\mathrm{~h}}
12
h
m
2
.
\newline
At what rate does Mia paint in
c
m
2
min
\frac{\mathrm{cm}^{2}}{\min }
m
i
n
cm
2
?
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Find
b
b
b
.
3
2
+
b
=
7
4
\dfrac{3}{2} + b = \dfrac{7}{4}
2
3
+
b
=
4
7
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Solve the right triangle shown in the figure.
\newline
A
=
55.
8
∘
A=55.8^\circ
A
=
55.
8
∘
,
c
=
51
c=51
c
=
51
\newline
a
≈
a\approx
a
≈
◻ (Round to the nearest hundredth as needed.)
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Ariah is walking on a boat that is sailing in the ocean. At a certain point the boat encounters a current.
\newline
- Ariah walks at a speed of
5
k
m
h
5 \frac{\mathrm{km}}{\mathrm{h}}
5
h
km
in the westward direction, relative to the boat.
\newline
- The boat is sailing at a speed of
35
k
m
h
35 \frac{\mathrm{km}}{\mathrm{h}}
35
h
km
in the northward direction.
\newline
- The current pulls the boat at a speed of
12
k
m
h
12 \frac{\mathrm{km}}{\mathrm{h}}
12
h
km
in the eastward direction and at a speed of
7
k
m
h
7 \frac{\mathrm{km}}{\mathrm{h}}
7
h
km
in the northward direction.
\newline
What is Ariah's absolute speed after the boat meets the current? Round your answer to the nearest tenth. You can round intermediate values to the nearest hundredth.
\newline
k
m
h
\frac{\mathrm{km}}{\mathrm{h}}
h
km
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r\'eduire si possible :
\newline
B
=
4
(
8
−
y
)
;
B=4(8-y)\quad;
B
=
4
(
8
−
y
)
;
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11
+
x
x
3
+
2
x
(
5
−
x
)
\frac{11+x}{x^{3}}+2x(5-x)
x
3
11
+
x
+
2
x
(
5
−
x
)
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Neil Armstrotig drapped a hammer on the moon. If it took
4
4
4
seconds to lail and the final speed wals is
m
i
s
mis
mi
s
, whar is ifter acceieration due to gravity on the moon?
\newline
A.
8.
B
m
i
s
2
8.Bmis^{2}
8.
B
mi
s
2
\newline
B.
32
m
i
s
32mis
32
mi
s
\newline
C.
4
m
i
s
s
2
4miss^{2}
4
mi
s
s
2
\newline
D.
2
m
/
/
s
2
2m//s^{2}
2
m
//
s
2
\newline
Reset Selection
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Estimate
Δ
y
\Delta y
Δ
y
using differentials.
\newline
y
=
x
1
2
e
4
x
−
1
,
a
=
1
,
d
x
=
0.1
y=x^{\frac{1}{2}}e^{4x-1},\quad a=1,\quad dx=0.1
y
=
x
2
1
e
4
x
−
1
,
a
=
1
,
d
x
=
0.1
\newline
(Give your answer to four decimal places.)
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Previous
1
2
3
...
6
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