| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 9. What is the volume?
| 100π | |
| 648π | |
| 81π | |
| 294π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 1)
v = 81π
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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the area is length x width |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
What is 3a - 2a?
| 5 | |
| 6a2 | |
| 1a | |
| 1 |
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.
3a - 2a = 1a
Find the value of b:
5b + x = 8
4b - 2x = -1
| \(\frac{1}{2}\) | |
| 1\(\frac{1}{14}\) | |
| -4\(\frac{5}{13}\) | |
| \(\frac{19}{24}\) |
You need to find the value of b so solve the first equation in terms of x:
5b + x = 8
x = 8 - 5b
then substitute the result (8 - 5b) into the second equation:
4b - 2(8 - 5b) = -1
4b + (-2 x 8) + (-2 x -5b) = -1
4b - 16 + 10b = -1
4b + 10b = -1 + 16
14b = 15
b = \( \frac{15}{14} \)
b = 1\(\frac{1}{14}\)
A trapezoid is a quadrilateral with one set of __________ sides.
parallel |
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equal length |
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equal angle |
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right angle |
A trapezoid is a quadrilateral with one set of parallel sides.