Answer:
<h2><em>
0.75 or 3/4</em></h2>
Step-by-step explanation:
<em>~Convert the mixed numbers into improper fractions</em>
<em>~Then find the </em><em>LCD (Least Common Denominator)</em><em> and combine</em>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>
<em>GL.</em>
I believe that 7/45 is a repeating decimal
The answer is c. The range fo the length of the fish caught by Freddy is greater than the range of the length of the fish caught by Waldo.
Answer:
a = 26°
b = 48°
c = 26°
d = 106°
Step-by-step explanation:
a = c (Alternate angles)
Corresponding angles
(a + d) + b = 180° (Interior angles)
Answer:
sin
(
x/
2
) = -
√
3
/2
Take the inverse sine of both sides of the equation to extract x
from inside the sine.
x/
2
=
arcsin
(
−
√
3/
2
)
The exact value of arcsin
(
−
√
3
/2
) is −
π
/3
.
/x
2
=
−
π
/3
Multiply both sides of the equation by 2
.
2
⋅
x
/2
=
2
⋅
(
−
π
/3
)
Simplify both sides of the equation.
x
=
−
2
π
/3
The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from 2
π
, to find a reference angle. Next, add this reference angle to π to find the solution in the third quadrant.
x
/2
=
2
π
+
π/
3
+
π
Simplify the expression to find the second solution.
x
=
2
π
/3
4
π
Add 4
π to every negative angle to get positive angles.
x
=
10
π
/3
The period of the sin
(
x
/2
) function is 4
π so values will repeat every 4
π radians in both directions.
x
=2
π
/3
+
4
π
n
,
10
π/
3
+
4
π
n
, for any integer n
Exclude the solutions that do not make sin
(
x
/2
)
=
−
√
3/
2 true.
x
=
10
π
/3
+
4
π
n
, for any integer n
