| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
The dimensions of this cylinder are height (h) = 5 and radius (r) = 1. What is the surface area?
| 110π | |
| 36π | |
| 12π | |
| 40π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 5)
sa = 2π(1) + 2π(5)
sa = (2 x 1)π + (2 x 5)π
sa = 2π + 10π
sa = 12π
Solve 3b + 5b = 2b - 6x - 3 for b in terms of x.
| -\(\frac{1}{7}\)x - 1\(\frac{1}{7}\) | |
| x + \(\frac{5}{8}\) | |
| \(\frac{3}{8}\)x - \(\frac{5}{8}\) | |
| -11x - 3 |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
3b + 5x = 2b - 6x - 3
3b = 2b - 6x - 3 - 5x
3b - 2b = -6x - 3 - 5x
b = -11x - 3
A trapezoid is a quadrilateral with one set of __________ sides.
right angle |
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equal length |
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parallel |
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equal angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for y:
y2 - 5y + 4 = 0
| 2 or -3 | |
| 4 or -1 | |
| 1 or 4 | |
| -7 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
y2 - 5y + 4 = 0
(y - 1)(y - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 1) or (y - 4) must equal zero:
If (y - 1) = 0, y must equal 1
If (y - 4) = 0, y must equal 4
So the solution is that y = 1 or 4
A right angle measures:
90° |
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180° |
|
45° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.