| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 2. What is the surface area?
| 72 | |
| 62 | |
| 192 | |
| 266 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 2) + (2 x 2 x 5) + (2 x 3 x 5)
sa = (12) + (20) + (30)
sa = 62
If side a = 6, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{50} \) | |
| \( \sqrt{13} \) | |
| \( \sqrt{2} \) | |
| \( \sqrt{61} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 52
c2 = 36 + 25
c2 = 61
c = \( \sqrt{61} \)
If BD = 1 and AD = 11, AB = ?
| 8 | |
| 7 | |
| 17 | |
| 10 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDThe formula for the area of a circle is which of the following?
a = π r |
|
a = π d2 |
|
a = π d |
|
a = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Solve for a:
4a + 7 > \( \frac{a}{-1} \)
| a > -\(\frac{45}{62}\) | |
| a > -1\(\frac{2}{5}\) | |
| a > -\(\frac{5}{36}\) | |
| a > \(\frac{24}{53}\) |
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.
4a + 7 > \( \frac{a}{-1} \)
-1 x (4a + 7) > a
(-1 x 4a) + (-1 x 7) > a
-4a - 7 > a
-4a - 7 - a > 0
-4a - a > 7
-5a > 7
a > \( \frac{7}{-5} \)
a > -1\(\frac{2}{5}\)