| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.09 |
| Score | 0% | 62% |
The dimensions of this cube are height (h) = 3, length (l) = 7, and width (w) = 3. What is the surface area?
| 30 | |
| 52 | |
| 102 | |
| 174 |
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 7 x 3) + (2 x 3 x 3) + (2 x 7 x 3)
sa = (42) + (18) + (42)
sa = 102
Solve for a:
a2 + 3a - 40 = 0
| 6 or -8 | |
| 5 or -8 | |
| 6 or -1 | |
| -1 or -7 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 + 3a - 40 = 0
(a - 5)(a + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 5) or (a + 8) must equal zero:
If (a - 5) = 0, a must equal 5
If (a + 8) = 0, a must equal -8
So the solution is that a = 5 or -8
Which of the following expressions contains exactly two terms?
monomial |
|
quadratic |
|
polynomial |
|
binomial |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.
If angle a = 28° and angle b = 21° what is the length of angle c?
| 46° | |
| 131° | |
| 83° | |
| 119° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 28° - 21° = 131°
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c2 - a2 |
|
c - a |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)