| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.86 |
| Score | 0% | 57% |
The dimensions of this cylinder are height (h) = 4 and radius (r) = 5. What is the volume?
| 324π | |
| 16π | |
| 108π | |
| 100π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 4)
v = 100π
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral and right |
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isosceles and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
The dimensions of this trapezoid are a = 4, b = 5, c = 6, d = 3, and h = 3. What is the area?
| 12 | |
| 9 | |
| 8 | |
| 22\(\frac{1}{2}\) |
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(5 + 3)(3)
a = ½(8)(3)
a = ½(24) = \( \frac{24}{2} \)
a = 12
Find the value of c:
-6c + z = -3
-c - z = -2
| 2\(\frac{1}{11}\) | |
| \(\frac{15}{28}\) | |
| \(\frac{5}{7}\) | |
| -1\(\frac{3}{16}\) |
You need to find the value of c so solve the first equation in terms of z:
-6c + z = -3
z = -3 + 6c
then substitute the result (-3 - -6c) into the second equation:
-c - 1(-3 + 6c) = -2
-c + (-1 x -3) + (-1 x 6c) = -2
-c + 3 - 6c = -2
-c - 6c = -2 - 3
-7c = -5
c = \( \frac{-5}{-7} \)
c = \(\frac{5}{7}\)
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
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factoring |
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squaring |
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normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.