| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
The dimensions of this cube are height (h) = 1, length (l) = 7, and width (w) = 3. What is the volume?
| 96 | |
| 288 | |
| 140 | |
| 21 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 7 x 3
v = 21
If a = 3, b = 1, c = 6, and d = 4, what is the perimeter of this quadrilateral?
| 26 | |
| 18 | |
| 21 | |
| 14 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 3 + 1 + 6 + 4
p = 14
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
trapezoid |
|
rhombus |
|
triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The endpoints of this line segment are at (-2, 8) and (2, 0). What is the slope-intercept equation for this line?
| y = -2x + 0 | |
| y = 2\(\frac{1}{2}\)x - 1 | |
| y = -2\(\frac{1}{2}\)x + 1 | |
| y = -2x + 4 |
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 4. 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, 8) and (2, 0) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (8.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x + 4
What is the circumference of a circle with a radius of 10?
| 20π | |
| 8π | |
| 26π | |
| 22π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 10)
c = 20π