| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.78 |
| Score | 0% | 56% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 5. What is the volume?
| 100π | |
| 288π | |
| 25π | |
| 80π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 1)
v = 25π
The endpoints of this line segment are at (-2, -1) and (2, -3). What is the slope-intercept equation for this line?
| y = -\(\frac{1}{2}\)x - 2 | |
| y = -2\(\frac{1}{2}\)x + 0 | |
| y = -\(\frac{1}{2}\)x - 4 | |
| y = 1\(\frac{1}{2}\)x - 1 |
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 -2. 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, -1) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-2}{4} \)Plugging these values into the slope-intercept equation:
y = -\(\frac{1}{2}\)x - 2
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
h x l x w |
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.
The dimensions of this cylinder are height (h) = 6 and radius (r) = 8. What is the surface area?
| 224π | |
| 126π | |
| 12π | |
| 48π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 6)
sa = 2π(64) + 2π(48)
sa = (2 x 64)π + (2 x 48)π
sa = 128π + 96π
sa = 224π
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
supplementary, vertical |
|
obtuse, acute |
|
vertical, supplementary |
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acute, obtuse |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).