| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
What is the area of a circle with a radius of 3?
| 64π | |
| 4π | |
| 9π | |
| 49π |
The formula for area is πr2:
a = πr2
a = π(32)
a = 9π
The dimensions of this cylinder are height (h) = 6 and radius (r) = 7. What is the surface area?
| 64π | |
| 18π | |
| 20π | |
| 182π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 6)
sa = 2π(49) + 2π(42)
sa = (2 x 49)π + (2 x 42)π
sa = 98π + 84π
sa = 182π
Solve for y:
-8y - 5 < \( \frac{y}{4} \)
| y < -\(\frac{25}{31}\) | |
| y < -\(\frac{20}{33}\) | |
| y < -\(\frac{6}{7}\) | |
| y < -\(\frac{16}{19}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-8y - 5 < \( \frac{y}{4} \)
4 x (-8y - 5) < y
(4 x -8y) + (4 x -5) < y
-32y - 20 < y
-32y - 20 - y < 0
-32y - y < 20
-33y < 20
y < \( \frac{20}{-33} \)
y < -\(\frac{20}{33}\)
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
|
2lw x 2wh + 2lh |
|
lw x wh + lh |
|
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 a = c = 5, b = d = 6, and the blue angle = 61°, what is the area of this parallelogram?
| 54 | |
| 30 | |
| 63 | |
| 27 |
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