| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.05 |
| Score | 0% | 61% |
The dimensions of this cube are height (h) = 7, length (l) = 4, and width (w) = 5. What is the surface area?
| 62 | |
| 132 | |
| 166 | |
| 38 |
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 4 x 5) + (2 x 5 x 7) + (2 x 4 x 7)
sa = (40) + (70) + (56)
sa = 166
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 |
|
lw x wh + lh |
|
h x l x w |
|
2lw x 2wh + 2lh |
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 angle a = 60° and angle b = 28° what is the length of angle c?
| 91° | |
| 92° | |
| 103° | |
| 67° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 28° = 92°
Solve for x:
x2 + 4x + 10 = -4x - 5
| 5 or -2 | |
| -1 or -4 | |
| 7 or -2 | |
| -3 or -5 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 + 4x + 10 = -4x - 5
x2 + 4x + 10 + 5 = -4x
x2 + 4x + 4x + 15 = 0
x2 + 8x + 15 = 0
Next, factor the quadratic equation:
x2 + 8x + 15 = 0
(x + 3)(x + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x + 5) must equal zero:
If (x + 3) = 0, x must equal -3
If (x + 5) = 0, x must equal -5
So the solution is that x = -3 or -5
Simplify (2a)(3ab) + (7a2)(9b).
| 57ab2 | |
| -57a2b | |
| 69a2b | |
| -57ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(2a)(3ab) + (7a2)(9b)
(2 x 3)(a x a x b) + (7 x 9)(a2 x b)
(6)(a1+1 x b) + (63)(a2b)
6a2b + 63a2b
69a2b