| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
What is the area of a circle with a diameter of 8?
| 2π | |
| 25π | |
| 9π | |
| 16π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π
If a = c = 5, b = d = 1, and the blue angle = 58°, what is the area of this parallelogram?
| 6 | |
| 5 | |
| 30 | |
| 48 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 5 x 1
a = 5
Solve for x:
-2x + 1 < \( \frac{x}{2} \)
| x < -\(\frac{24}{37}\) | |
| x < \(\frac{2}{5}\) | |
| x < -3\(\frac{1}{2}\) | |
| x < -\(\frac{7}{10}\) |
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.
-2x + 1 < \( \frac{x}{2} \)
2 x (-2x + 1) < x
(2 x -2x) + (2 x 1) < x
-4x + 2 < x
-4x + 2 - x < 0
-4x - x < -2
-5x < -2
x < \( \frac{-2}{-5} \)
x < \(\frac{2}{5}\)
Solve for x:
5x + 9 = 1 - 5x
| -\(\frac{4}{5}\) | |
| 1\(\frac{4}{5}\) | |
| -5 | |
| \(\frac{1}{2}\) |
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 equal sign and the answer on the other.
5x + 9 = 1 - 5x
5x = 1 - 5x - 9
5x + 5x = 1 - 9
10x = -8
x = \( \frac{-8}{10} \)
x = -\(\frac{4}{5}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
2(π r2) + 2π rh |
|
π r2h |
|
4π r2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.