| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.54 |
| Score | 0% | 51% |
The dimensions of this cube are height (h) = 9, length (l) = 1, and width (w) = 2. What is the surface area?
| 136 | |
| 58 | |
| 10 | |
| 286 |
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 1 x 2) + (2 x 2 x 9) + (2 x 1 x 9)
sa = (4) + (36) + (18)
sa = 58
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π d |
|
c = π r |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Factor y2 - 13y + 40
| (y + 8)(y - 5) | |
| (y + 8)(y + 5) | |
| (y - 8)(y + 5) | |
| (y - 8)(y - 5) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 40 as well and sum (Inside, Outside) to equal -13. For this problem, those two numbers are -8 and -5. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 13y + 40
y2 + (-8 - 5)y + (-8 x -5)
(y - 8)(y - 5)
Solve for y:
-4y - 4 > \( \frac{y}{3} \)
| y > -\(\frac{12}{13}\) | |
| y > 1\(\frac{1}{15}\) | |
| y > -1\(\frac{1}{15}\) | |
| y > -\(\frac{6}{7}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-4y - 4 > \( \frac{y}{3} \)
3 x (-4y - 4) > y
(3 x -4y) + (3 x -4) > y
-12y - 12 > y
-12y - 12 - y > 0
-12y - y > 12
-13y > 12
y > \( \frac{12}{-13} \)
y > -\(\frac{12}{13}\)
The dimensions of this cube are height (h) = 5, length (l) = 6, and width (w) = 7. What is the volume?
| 126 | |
| 252 | |
| 20 | |
| 210 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 6 x 7
v = 210