| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.71 |
| Score | 0% | 54% |
The dimensions of this cylinder are height (h) = 2 and radius (r) = 6. What is the surface area?
| 96π | |
| 198π | |
| 16π | |
| 120π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 2)
sa = 2π(36) + 2π(12)
sa = (2 x 36)π + (2 x 12)π
sa = 72π + 24π
sa = 96π
Solve for c:
4c - 6 = -8 + 6c
| 1\(\frac{1}{4}\) | |
| 1 | |
| \(\frac{1}{6}\) | |
| -\(\frac{4}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.
4c - 6 = -8 + 6c
4c = -8 + 6c + 6
4c - 6c = -8 + 6
-2c = -2
c = \( \frac{-2}{-2} \)
c = 1
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
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a2 - c2 |
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c2 + a2 |
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c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The endpoints of this line segment are at (-2, 0) and (2, -8). What is the slope of this line?
| -2 | |
| 1\(\frac{1}{2}\) | |
| -1 | |
| -\(\frac{1}{2}\) |
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, 0) and (2, -8) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-8.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)A trapezoid is a quadrilateral with one set of __________ sides.
equal length |
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parallel |
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equal angle |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.