| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The dimensions of this cube are height (h) = 6, length (l) = 1, and width (w) = 8. What is the volume?
| 252 | |
| 48 | |
| 360 | |
| 27 |
The volume of a cube is height x length x width:
v = h x l x w
v = 6 x 1 x 8
v = 48
The endpoints of this line segment are at (-2, 7) and (2, 1). What is the slope-intercept equation for this line?
| y = \(\frac{1}{2}\)x - 4 | |
| y = 3x - 3 | |
| y = -2\(\frac{1}{2}\)x + 3 | |
| y = -1\(\frac{1}{2}\)x + 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, 7) and (2, 1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(1.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)Plugging these values into the slope-intercept equation:
y = -1\(\frac{1}{2}\)x + 4
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
|
a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
If a = c = 5, b = d = 6, and the blue angle = 77°, what is the area of this parallelogram?
| 12 | |
| 30 | |
| 72 | |
| 36 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 6
a = 30
If side x = 6cm, side y = 7cm, and side z = 10cm what is the perimeter of this triangle?
| 23cm | |
| 32cm | |
| 42cm | |
| 31cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 6cm + 7cm + 10cm = 23cm