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Math Problems
Precalculus
Complementary angle identities
18
18
18
\newline
What is the circumference of the circle?
\newline
Use
3
3
3
.
14
14
14
for
π
\pi
π
.
\newline
SHOW YOUR WORK. (
1
1
1
)
\newline
c
=
π
r
c=\pi r
c
=
π
r
\newline
ANSWER:
\newline
20
20
20
\newline
(
2
2
2
)
\newline
Angle
A
A
A
and Angle
B
B
B
are vertical angles.
\newline
m
∠
A
=
8
x
+
2
m \angle A=8 x+2
m
∠
A
=
8
x
+
2
and
m
∠
B
=
10
x
−
8
m \angle B=10 x-8
m
∠
B
=
10
x
−
8
\newline
ind the value of
x
x
x
and the measure of Angle
A
A
A
.
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Two complementary angles have measures of
s
s
s
and
t
t
t
. If
t
t
t
is less than twice
s
s
s
, which system of linear equations can be used to determine the measure of each angle
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(
8
8
8
) Angle
S
S
S
is
90
90
90
degrees and angle
T
T
T
is
45
45
45
degrees. Side
S
T
S T
ST
is
3
3
3
feet. How long is side
S
U
S U
S
U
?
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What value of
x
x
x
satisfies the equation
−
1.5
x
−
2.7
=
20.1
+
4.5
x
-1.5 x-2.7=20.1+4.5 x
−
1.5
x
−
2.7
=
20.1
+
4.5
x
?
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If the solution to the equation
0.8
(
15
−
3
x
)
=
2
x
−
15.3
−
a
x
0.8(15-3 x)=2 x-15.3-a x
0.8
(
15
−
3
x
)
=
2
x
−
15.3
−
a
x
is
x
=
6.5
x=6.5
x
=
6.5
, what is the value of
a
a
a
?
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What is
N
×
3.7
N \times 3.7
N
×
3.7
when
n
=
5.3
n = 5.3
n
=
5.3
?
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Find the smallest pair of
4
4
4
-digit numbers such that the difference between them is
303
303
303
and their HCF is
101
101
101
. Show your steps.
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Are
∠
K
\angle K
∠
K
and
∠
B
\angle B
∠
B
corresponding angles? Explain.
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x
+
3
y
=
2
x+3y=2
x
+
3
y
=
2
.
4
x
−
3
y
=
23
4x-3y=23
4
x
−
3
y
=
23
. The given system of equations has solution
x
,
y
x,y
x
,
y
. What is the value of
x
x
x
?
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Level
4
4
4
\newline
7
7
7
. The sine of angle
θ
\theta
θ
is
0
0
0
.
3
3
3
.
\newline
What is
cos
(
θ
)
\cos (\theta)
cos
(
θ
)
? Explain how you know.
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If
R
S
=
33.5
RS=33.5
RS
=
33.5
and
R
Q
=
80
RQ=80
RQ
=
80
, find
S
Q
SQ
SQ
.
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Find the value of
x
x
x
in the equation below.
\newline
6
x
=
14.4
6 x=14.4
6
x
=
14.4
\newline
Answer:
x
=
x=
x
=
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Solve the equation.
\newline
0.3
b
=
0.9
0.3 b=0.9
0.3
b
=
0.9
\newline
b
=
b=
b
=
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h
2
−
4
h
=
0
h^2 - 4h = 0
h
2
−
4
h
=
0
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