| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
If a = c = 2, b = d = 3, and the blue angle = 77°, what is the area of this parallelogram?
| 6 | |
| 63 | |
| 7 | |
| 3 |
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
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 |
|
h x l x w |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
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.
Factor y2 - y - 72
| (y - 9)(y - 8) | |
| (y - 9)(y + 8) | |
| (y + 9)(y - 8) | |
| (y + 9)(y + 8) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -72 as well and sum (Inside, Outside) to equal -1. For this problem, those two numbers are -9 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - y - 72
y2 + (-9 + 8)y + (-9 x 8)
(y - 9)(y + 8)
A quadrilateral is a shape with __________ sides.
4 |
|
3 |
|
5 |
|
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) = 2. What is the surface area?
| 80π | |
| 240π | |
| 224π | |
| 24π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 4)
sa = 2π(4) + 2π(8)
sa = (2 x 4)π + (2 x 8)π
sa = 8π + 16π
sa = 24π