Answer:
x = 900/ 10 + 3fo
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Answer:
3/5 is probability of female out of 5 classmates.
hope it helps
<h3>stay safe healthy and happy.</h3>
Answer:
$341.96
Step-by-step explanation:
Assuming Kerry was not paid at an overtime rate for extra hours (despite his union affiliation), his gross pay is ...
(46 h)×($9.60/h) = $441.60
His percentage deductions add to 17.65%, so will have a dollar amount of ...
0.1765×$441.60 = $77.94
The dollar amount deductions total $21.70 in addition to his percentage deductions, so Kerry's net pay is ...
$441.60 -77.94 -21.70 = $341.96
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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
