Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = 


where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere =
x
x 
=
x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
Answer:
The percentage increase in worker wages in hourly rate of pay is 16.5%
Step-by-step explanation:
Given as :
The Initial wages earn by worker = $ 5.15 per hour
The Final wages earn by worker = $ 6 per hour
Let The percentage increase in her hourly rate of pay = x %
Now, According to question
x % = 
or, x =
× 100
or, x =
× 100
or, x = 0.165 × 100
∴ x = 16.5%
So , Percentage increase in wages = x = 16.5 %
Hence The percentage increase in worker wages in hourly rate of pay is 16.5% Answer
Yes you are correct. You divide both sides by -6 to isolate x. Dividing both sides by a negative number will flip the inequality sign.
If you need to graph this, then you'll have a closed circle at -12 on the number line. Then you'll have shading to the left of this closed circle. The closed circle indicates "include this endpoint as part of the shaded solution set".
I think maybe about 5 times