| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.00 |
| Score | 0% | 60% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If angle a = 70° and angle b = 55° what is the length of angle d?
| 114° | |
| 157° | |
| 110° | |
| 148° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 70° - 55° = 55°
So, d° = 55° + 55° = 110°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 70° = 110°
If a = c = 9, b = d = 10, and the blue angle = 64°, what is the area of this parallelogram?
| 63 | |
| 90 | |
| 81 | |
| 36 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 10
a = 90
If angle a = 62° and angle b = 44° what is the length of angle c?
| 82° | |
| 95° | |
| 57° | |
| 74° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 62° - 44° = 74°
The endpoints of this line segment are at (-2, 1) and (2, -9). What is the slope-intercept equation for this line?
| y = 2\(\frac{1}{2}\)x + 0 | |
| y = -2\(\frac{1}{2}\)x - 4 | |
| y = 2\(\frac{1}{2}\)x + 3 | |
| y = -2\(\frac{1}{2}\)x + 3 |
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, 1) and (2, -9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-9.0) - (1.0)}{(2) - (-2)} \) = \( \frac{-10}{4} \)Plugging these values into the slope-intercept equation:
y = -2\(\frac{1}{2}\)x - 4