| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
The dimensions of this cube are height (h) = 4, length (l) = 5, and width (w) = 6. What is the surface area?
| 90 | |
| 148 | |
| 416 | |
| 106 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 5 x 6) + (2 x 6 x 4) + (2 x 5 x 4)
sa = (60) + (48) + (40)
sa = 148
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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right, acute, obtuse |
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right, obtuse, acute |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
A coordinate grid is composed of which of the following?
x-axis |
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all of these |
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origin |
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y-axis |
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.
On this circle, line segment AB is the:
circumference |
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chord |
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diameter |
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radius |
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 endpoints of this line segment are at (-2, -6) and (2, -2). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x + 3 | |
| y = 2\(\frac{1}{2}\)x - 2 | |
| y = 3x - 3 | |
| y = x - 4 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -4. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -6) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x - 4