Answer:
A. 7π/6.
Step-by-step explanation:
I think you mean a sine of -1/2 and cosine of -√3/2 ( the values in the question are not possible)
Angle π/6 has a sine of 1/2 and a cosine of √3/2 ( from the 30-60-90 triangle).
This angle must be in the third quadrant because the sin and cos are negative.
So the answer is π +π/6 = 7π/6.
Use the quotient property of logarithms,
log
b
(
x
)
−
log
b
(
y
)
=
log
b
(
x
y
)
log
b
(
x
)
-
log
b
(
y
)
=
log
b
(
x
y
)
.
log
2
(
x
+
2
x
−
5
)
=
3
log
2
(
x
+
2
x
-
5
)
=
3
Rewrite
log
2
(
x
+
2
x
−
5
)
=
3
log
2
(
x
+
2
x
-
5
)
=
3
in exponential form using the definition of a logarithm. If
x
x
and
b
b
are positive real numbers and
b
b
≠
≠
1
1
, then
log
b
(
x
)
=
y
log
b
(
x
)
=
y
is equivalent to
b
y
=
x
b
y
=
x
.
2
3
=
x
+
2
x
−
5
2
3
=
x
+
2
x
-
5
Solve for
x
x
Tap for more steps...
x
=
6
Answer:
6.75 years old
Step-by-step explanation:
27=(4a-3)+(4a)
27=16a-12a
27=4a
a=27/4
a=6.75
Answer:
A.) 7:1 (which is 5.25 : 0.75 simplified)
B.) 0.75 : 6
Step-by-step explanation:
