| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
The dimensions of this cube are height (h) = 7, length (l) = 7, and width (w) = 8. What is the surface area?
| 46 | |
| 264 | |
| 322 | |
| 94 |
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 8) + (2 x 8 x 7) + (2 x 7 x 7)
sa = (112) + (112) + (98)
sa = 322
If angle a = 40° and angle b = 47° what is the length of angle d?
| 149° | |
| 140° | |
| 116° | |
| 139° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 40° - 47° = 93°
So, d° = 47° + 93° = 140°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 40° = 140°
Simplify (2a)(7ab) + (3a2)(9b).
| 13ab2 | |
| 41a2b | |
| 108ab2 | |
| 108a2b |
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)(7ab) + (3a2)(9b)
(2 x 7)(a x a x b) + (3 x 9)(a2 x b)
(14)(a1+1 x b) + (27)(a2b)
14a2b + 27a2b
41a2b
What is 3a - 7a?
| -4 | |
| -4a | |
| 21a2 | |
| 21a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
3a - 7a = -4a
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
|
acute, obtuse, right |
|
right, acute, obtuse |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.