| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
The dimensions of this cylinder are height (h) = 7 and radius (r) = 9. What is the volume?
| 567π | |
| 243π | |
| 98π | |
| 100π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 7)
v = 567π
Which of the following statements about a parallelogram is not true?
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
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opposite sides and adjacent angles are equal |
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the area of a parallelogram is base x height |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
The dimensions of this trapezoid are a = 5, b = 2, c = 8, d = 5, and h = 3. What is the area?
| 22\(\frac{1}{2}\) | |
| 10\(\frac{1}{2}\) | |
| 20 | |
| 15 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 5)(3)
a = ½(7)(3)
a = ½(21) = \( \frac{21}{2} \)
a = 10\(\frac{1}{2}\)
Solve for b:
-6b + 3 > 7 + b
| b > -8 | |
| b > -\(\frac{4}{7}\) | |
| b > -6 | |
| b > \(\frac{1}{2}\) |
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 > sign and the answer on the other.
-6b + 3 > 7 + b
-6b > 7 + b - 3
-6b - b > 7 - 3
-7b > 4
b > \( \frac{4}{-7} \)
b > -\(\frac{4}{7}\)
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
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right, obtuse, acute |
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acute, right, obtuse |
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right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.