| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
The dimensions of this trapezoid are a = 6, b = 2, c = 7, d = 9, and h = 5. What is the area?
| 10\(\frac{1}{2}\) | |
| 16 | |
| 27\(\frac{1}{2}\) | |
| 28 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(2 + 9)(5)
a = ½(11)(5)
a = ½(55) = \( \frac{55}{2} \)
a = 27\(\frac{1}{2}\)
The dimensions of this cube are height (h) = 7, length (l) = 6, and width (w) = 2. What is the surface area?
| 136 | |
| 34 | |
| 228 | |
| 416 |
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 6 x 2) + (2 x 2 x 7) + (2 x 6 x 7)
sa = (24) + (28) + (84)
sa = 136
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Inside |
|
Odd |
|
Last |
|
First |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
The endpoints of this line segment are at (-2, 9) and (2, -3). What is the slope of this line?
| 2 | |
| \(\frac{1}{2}\) | |
| -3 | |
| -2\(\frac{1}{2}\) |
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, 9) and (2, -3) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-3.0) - (9.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)The dimensions of this cylinder are height (h) = 4 and radius (r) = 9. What is the surface area?
| 24π | |
| 144π | |
| 234π | |
| 210π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 4)
sa = 2π(81) + 2π(36)
sa = (2 x 81)π + (2 x 36)π
sa = 162π + 72π
sa = 234π