Answer:
134.04 cm³ (rounded to tenths)
Step-by-step explanation:
The radius(r) is 4 cm
The height(h) is 8 cm
Using the equation and plugging in the values, you get

Answer:
a=2
Step-by-step explanation:
subtract 10 from both sides
2a^3=26-10
simplify
2a^3=16
Divivde both side by 2
a^2=16/2
simplify
a^3=8
Answer:
The graph in the attached figure
see the explanation
Step-by-step explanation:
we have

we know that
The radicand must be greater than or equal to zero
so

solve for x
Adds 3 both sides


Multiply by -1 both sides
Remember that, when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

so
The domain of the function is the interval (-∞,-3]
For x=-3 ---> the value of y=0
The range is the interval {0,∞)
therefore
The graph in the attached figure
Answer:
Three solutions.
Step-by-step explanation:
In order to solve system of equations by graphical method, we graph the system of equations. The intersection point (s) of the two graph would give us the solution.
If the graph of the equations intersect at 2 points then there will be 2 solutions, if there are 4 intersection then there would be 4 solutions and so on.
For the given graph, we can see that there are three intersection points.
Hence, there would be three solutions.
Since we have a transverse line that cuts through the straight line parallel to the height, then we can see that the angles are divided into two sections.
We also have vertically opposite angles, since the angle sum of a straight line is 180°. We have perpendicular lines since we are given a 90° angle. Thus, we know the missing angle is 45°.
Thus, 45 + x = 180
x = 135°