| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
The dimensions of this cylinder are height (h) = 9 and radius (r) = 6. What is the volume?
| 324π | |
| 384π | |
| 63π | |
| 252π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 9)
v = 324π
Which of the following statements about parallel lines with a transversal is not correct?
same-side interior angles are complementary and equal each other |
|
angles in the same position on different parallel lines are called corresponding angles |
|
all acute angles equal each other |
|
all of the angles formed by a transversal are called interior angles |
Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).
What is 5a + 9a?
| 14a | |
| 14a2 | |
| 45a | |
| -4a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
5a + 9a = 14a
What is 7a2 - 9a2?
| -2a2 | |
| -2a4 | |
| 16a4 | |
| 63a4 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a2 - 9a2 = -2a2
What is 2a2 + 8a2?
| a24 | |
| -6 | |
| 10a2 | |
| 10 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a2 + 8a2 = 10a2