| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.15 |
| Score | 0% | 63% |
If angle a = 59° and angle b = 54° what is the length of angle c?
| 67° | |
| 60° | |
| 117° | |
| 108° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 59° - 54° = 67°
Simplify 3a x 7b.
| 21\( \frac{b}{a} \) | |
| 21ab | |
| 21a2b2 | |
| 10ab |
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.
3a x 7b = (3 x 7) (a x b) = 21ab
The endpoints of this line segment are at (-2, -10) and (2, 2). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| -1 | |
| 3 |
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, -10) and (2, 2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(2.0) - (-10.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)The dimensions of this cube are height (h) = 5, length (l) = 1, and width (w) = 3. What is the surface area?
| 192 | |
| 46 | |
| 286 | |
| 224 |
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 1 x 3) + (2 x 3 x 5) + (2 x 1 x 5)
sa = (6) + (30) + (10)
sa = 46
Simplify (4a)(8ab) - (8a2)(7b).
| 180ab2 | |
| 180a2b | |
| 88a2b | |
| -24a2b |
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.
(4a)(8ab) - (8a2)(7b)
(4 x 8)(a x a x b) - (8 x 7)(a2 x b)
(32)(a1+1 x b) - (56)(a2b)
32a2b - 56a2b
-24a2b