| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
A right angle measures:
180° |
|
45° |
|
360° |
|
90° |
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.
Simplify (5a)(5ab) + (2a2)(6b).
| 13a2b | |
| 37a2b | |
| 37ab2 | |
| 80ab2 |
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.
(5a)(5ab) + (2a2)(6b)
(5 x 5)(a x a x b) + (2 x 6)(a2 x b)
(25)(a1+1 x b) + (12)(a2b)
25a2b + 12a2b
37a2b
The dimensions of this cube are height (h) = 6, length (l) = 8, and width (w) = 4. What is the surface area?
| 80 | |
| 62 | |
| 52 | |
| 208 |
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 8 x 4) + (2 x 4 x 6) + (2 x 8 x 6)
sa = (64) + (48) + (96)
sa = 208
The endpoints of this line segment are at (-2, -4) and (2, 4). What is the slope of this line?
| 3 | |
| -\(\frac{1}{2}\) | |
| -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, -4) and (2, 4) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(4.0) - (-4.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)If side a = 6, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{65} \) | |
| \( \sqrt{32} \) | |
| \( \sqrt{128} \) | |
| \( \sqrt{61} \) |
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 = \( \sqrt{61} \)