| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
The dimensions of this cube are height (h) = 2, length (l) = 2, and width (w) = 1. What is the volume?
| 4 | |
| 192 | |
| 72 | |
| 25 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 2 x 1
v = 4
Which of the following statements about parallel lines with a transversal is not correct?
angles in the same position on different parallel lines are called corresponding angles |
|
all acute angles equal each other |
|
same-side interior angles are complementary and 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°).
If b = -8 and y = 3, what is the value of 6b(b - y)?
| 528 | |
| -144 | |
| 504 | |
| -720 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
6b(b - y)
6(-8)(-8 - 3)
6(-8)(-11)
(-48)(-11)
528
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
right, acute, obtuse |
|
acute, obtuse, right |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this cylinder are height (h) = 5 and radius (r) = 9. What is the volume?
| 405π | |
| 216π | |
| 18π | |
| 567π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 5)
v = 405π