| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.45 |
| Score | 0% | 49% |
The formula for the area of a circle is which of the following?
c = π d2 |
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c = π r2 |
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c = π r |
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c = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Which of the following statements about parallel lines with a transversal is not correct?
all acute angles equal each other |
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angles in the same position on different parallel lines are called corresponding angles |
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same-side interior angles are complementary and equal each other |
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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 the circumference of a circle with a diameter of 5?
| 2π | |
| 5π | |
| 28π | |
| 4π |
The formula for circumference is circle diameter x π:
c = πd
c = 5π
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
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2(π r2) + 2π rh |
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π r2h2 |
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4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Simplify (4a)(2ab) - (2a2)(6b).
| 48a2b | |
| 4ab2 | |
| -4a2b | |
| 20ab2 |
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.
(4a)(2ab) - (2a2)(6b)
(4 x 2)(a x a x b) - (2 x 6)(a2 x b)
(8)(a1+1 x b) - (12)(a2b)
8a2b - 12a2b
-4a2b