Answer:
The answer to your question is 64 mm³
Step-by-step explanation:
To calculate the volume of a cube just multiply the length of a side three times.
Data
cube-shaped crystal
length = 4 mm
Formula
Volume = length³
Substitution
Volume = (4 mm)( 4 mm)(4 mm)
Simplification and result
Volume = 64 mm³
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
Answer:
Second one is -30, 20, -50
Third one is 30, 24, 6
Step-by-step explanation:
Step-by-step explanation:
given,
x1= 1 , x2= 7 , m1= 3
y1= 4 , y2= 1 , m2= 1
x=?
y=?
using section formula
x= (m2.x1 + m1.x2)/m1 + m2
x= find yourself
y= (m2.y1 + m1.y2) / m1 + m2
y= find yourself
Answer: Correlation
Step-by-step explanation:
The statistics that should be used to determine if scores on these two surveys are related to each other is referred to as correlation.
Correlation indicates the degree by which the variables that are given are linearly related. Correlation is used in the testing and determination of the strength of association that can be found between two variables.
In this case, since the student wants to determine if degree of introversion or extroversion s associated satisfaction with life, the correlation will be appropriate to use.
