Choose the correct description of the graph of the compound inequality x − 1 less than or equal to 9 or 2x greater than or equal
1 answer:
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Given:
A prism has a base area of square units and a volume of
cubic units.
To find:
The volume of the cylinder if the cylinder has the same base area and height.
Solution:
Volume of a prism is:
Where, B is the base area and h is the height of the prism.
The volume of cylinder is:
Where, r is the radius, h is the height of the cylinder and is the base area.
Since base area and height of the cylinder are same as the prism, therefore, there volumes are equal.
Hence the volume of the cylinder is cubic units.
Answer:
(a) The total area of compound figure is .
(b) The total perimeter of compound figure is 68.84 ft.
Step-by-step explanation:
Perimeter: The total distance covered by the figure.
Area: It is defined as the space occupied by the figure.
Given:
Length of rectangular figure = 19 ft
Breadth of rectangular figure = 12 ft
Radius of circle, r =
Part (a):
Now calculating the total area of the compound figure.
Now putting all the given values in this formula, we get:
Part (b):
Now calculating the total perimeter of the compound figure.
Now putting all the given values in this formula, we get:
Answer:
C. 5 > 15
Step-by-step explanation:
In the given series of inequalities, the inequality sign determines the final outcome.
A. 4 - 2 < 10
4 < 12
< 3
Since < 3, then the inequality is false
B. + 9 < 12
< 3
Since < 3, then the inequality is false
c. 5 > 15
> 3
Since > 3, then the inequality is true
D. 6 > 2
3 >
Since < 3, then the inequality is false
Thus, the only inequality that is true is option C.