| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
On this circle, line segment AB is the:
diameter |
|
chord |
|
radius |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The dimensions of this cylinder are height (h) = 5 and radius (r) = 9. What is the surface area?
| 252π | |
| 80π | |
| 14π | |
| 84π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 5)
sa = 2π(81) + 2π(45)
sa = (2 x 81)π + (2 x 45)π
sa = 162π + 90π
sa = 252π
Simplify (y - 9)(y - 8)
| y2 - 17y + 72 | |
| y2 - y - 72 | |
| y2 + y - 72 | |
| y2 + 17y + 72 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y - 9)(y - 8)
(y x y) + (y x -8) + (-9 x y) + (-9 x -8)
y2 - 8y - 9y + 72
y2 - 17y + 72
A coordinate grid is composed of which of the following?
y-axis |
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all of these |
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x-axis |
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origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.