| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
The dimensions of this cube are height (h) = 2, length (l) = 3, and width (w) = 9. What is the volume?
| 54 | |
| 336 | |
| 18 | |
| 42 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 3 x 9
v = 54
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If a = c = 2, b = d = 3, and the blue angle = 73°, what is the area of this parallelogram?
| 72 | |
| 18 | |
| 6 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 3
a = 6
If angle a = 24° and angle b = 70° what is the length of angle c?
| 94° | |
| 117° | |
| 86° | |
| 64° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 70° = 86°
The endpoints of this line segment are at (-2, -4) and (2, -2). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x - 3 | |
| y = 2\(\frac{1}{2}\)x + 2 | |
| y = \(\frac{1}{2}\)x + 2 | |
| y = -\(\frac{1}{2}\)x + 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -3. 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, -4) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{2}{4} \)Plugging these values into the slope-intercept equation:
y = \(\frac{1}{2}\)x - 3