| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.99 |
| Score | 0% | 60% |
A quadrilateral is a shape with __________ sides.
4 |
|
5 |
|
3 |
|
2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The dimensions of this cylinder are height (h) = 4 and radius (r) = 5. What is the surface area?
| 198π | |
| 90π | |
| 224π | |
| 168π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 4)
sa = 2π(25) + 2π(20)
sa = (2 x 25)π + (2 x 20)π
sa = 50π + 40π
sa = 90π
Solve 2a - 5a = -3a + 4x + 5 for a in terms of x.
| -\(\frac{10}{13}\)x - \(\frac{8}{13}\) | |
| 2x + 2 | |
| 1\(\frac{4}{5}\)x + 1 | |
| 1\(\frac{3}{8}\)x + \(\frac{1}{8}\) |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
2a - 5x = -3a + 4x + 5
2a = -3a + 4x + 5 + 5x
2a + 3a = 4x + 5 + 5x
5a = 9x + 5
a = \( \frac{9x + 5}{5} \)
a = \( \frac{9x}{5} \) + \( \frac{5}{5} \)
a = 1\(\frac{4}{5}\)x + 1
The endpoints of this line segment are at (-2, 7) and (2, -3). What is the slope of this line?
| 2\(\frac{1}{2}\) | |
| 2 | |
| 1\(\frac{1}{2}\) | |
| -2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 7) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)If a = c = 5, b = d = 8, what is the area of this rectangle?
| 40 | |
| 42 | |
| 20 | |
| 24 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 8
a = 40