| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
What is the circumference of a circle with a radius of 18?
| 19π | |
| 3π | |
| 26π | |
| 36π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 18)
c = 36π
The dimensions of this cube are height (h) = 9, length (l) = 5, and width (w) = 4. What is the surface area?
| 202 | |
| 100 | |
| 78 | |
| 148 |
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 4) + (2 x 4 x 9) + (2 x 5 x 9)
sa = (40) + (72) + (90)
sa = 202
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
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all of the angles formed by a transversal are called interior angles |
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same-side interior angles are complementary and equal each other |
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angles in the same position on different parallel lines are called corresponding 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°).
Simplify (9a)(7ab) - (9a2)(3b).
| 192a2b | |
| 36a2b | |
| 90a2b | |
| 192ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(9a)(7ab) - (9a2)(3b)
(9 x 7)(a x a x b) - (9 x 3)(a2 x b)
(63)(a1+1 x b) - (27)(a2b)
63a2b - 27a2b
36a2b
On this circle, line segment AB is the:
diameter |
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radius |
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circumference |
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chord |
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).