| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
triangle |
|
trapezoid |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this cube are height (h) = 7, length (l) = 2, and width (w) = 2. What is the surface area?
| 64 | |
| 58 | |
| 78 | |
| 62 |
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 2 x 2) + (2 x 2 x 7) + (2 x 2 x 7)
sa = (8) + (28) + (28)
sa = 64
What is the circumference of a circle with a diameter of 18?
| 16π | |
| 18π | |
| 8π | |
| 2π |
The formula for circumference is circle diameter x π:
c = πd
c = 18π
If angle a = 21° and angle b = 53° what is the length of angle d?
| 160° | |
| 140° | |
| 129° | |
| 159° |
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° - 21° - 53° = 106°
So, d° = 53° + 106° = 159°
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° - 21° = 159°
Simplify (6a)(2ab) - (9a2)(3b).
| 15ab2 | |
| 39a2b | |
| 39ab2 | |
| -15a2b |
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.
(6a)(2ab) - (9a2)(3b)
(6 x 2)(a x a x b) - (9 x 3)(a2 x b)
(12)(a1+1 x b) - (27)(a2b)
12a2b - 27a2b
-15a2b