| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
A right angle measures:
45° |
|
180° |
|
90° |
|
360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
If a = c = 3, b = d = 2, what is the area of this rectangle?
| 12 | |
| 6 | |
| 54 | |
| 36 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 2
a = 6
Solve for x:
6x - 7 < \( \frac{x}{-4} \)
| x < 1\(\frac{3}{25}\) | |
| x < -1\(\frac{2}{7}\) | |
| x < \(\frac{4}{17}\) | |
| x < -\(\frac{6}{49}\) |
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.
6x - 7 < \( \frac{x}{-4} \)
-4 x (6x - 7) < x
(-4 x 6x) + (-4 x -7) < x
-24x + 28 < x
-24x + 28 - x < 0
-24x - x < -28
-25x < -28
x < \( \frac{-28}{-25} \)
x < 1\(\frac{3}{25}\)
The dimensions of this cylinder are height (h) = 4 and radius (r) = 2. What is the surface area?
| 24π | |
| 180π | |
| 108π | |
| 32π |
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
The endpoints of this line segment are at (-2, -7) and (2, 3). What is the slope of this line?
| \(\frac{1}{2}\) | |
| -3 | |
| 2\(\frac{1}{2}\) | |
| -\(\frac{1}{2}\) |
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, 3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)