| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.25 |
| Score | 0% | 65% |
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, obtuse, right |
|
acute, right, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 6. What is the surface area?
| 136 | |
| 158 | |
| 40 | |
| 126 |
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 6) + (2 x 6 x 5) + (2 x 3 x 5)
sa = (36) + (60) + (30)
sa = 126
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c - a |
|
c2 + a2 |
|
c2 - a2 |
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, \(c = \sqrt{a + b}\)
Simplify (4a)(4ab) - (5a2)(8b).
| 104ab2 | |
| 56ab2 | |
| 56a2b | |
| -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)(4ab) - (5a2)(8b)
(4 x 4)(a x a x b) - (5 x 8)(a2 x b)
(16)(a1+1 x b) - (40)(a2b)
16a2b - 40a2b
-24a2b
A right angle measures:
180° |
|
360° |
|
90° |
|
45° |
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.