An hemispherical dome is half a sphere. If the diameter is 60 m, then the radius is 30 m.
We can use differentials to solve this problem because we are adding a thin layer to the original dome, so the volume of the dome in increased by a differential of itself.
This differential volume that the dome is increased is equal to the volume of the coat of paint.
The volume of the dome can be written as:
Now, we can calculate dV as:
Answer: the paint needed for this coat is approximately 7.92 m^3
Answer:
1/18
Step-by-step explanation:
Change the denominators to 18 to make like denonminators (make sure to multiply the top)
(16/18 - 15/18)
1/18
Answer:
See attached diagram
Step-by-step explanation:
Graph the solution of the inequality 
First, draw the dotted line 
(dotted because the sign of the inequality is <). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (red part on the diagram).
Graph the solution of the inequality 
First, draw the solid line 
(solid because the sign of the inequality is ≥). Then determine wich part of the coordinate plane should be shaded. Since the origin's coordinates satisfy the inequality, then this point should belong to the region (blue part on the diagram).
The intersection of both regions is the solution of the system of two inequalities.
Answer:
= -14x
Step-by-step explanation:
Since the equation is saying to subtract 10x, we are going to change the minus sign to a addition sign and change positive 10 to negative and continue the rest.
