| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 4. What is the volume?
| 32 | |
| 144 | |
| 56 | |
| 200 |
The volume of a cube is height x length x width:
v = h x l x w
v = 1 x 8 x 4
v = 32
On this circle, line segment CD is the:
radius |
|
chord |
|
diameter |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
rhombus |
|
triangle |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for x:
x2 - 2x - 9 = -x + 3
| -3 or 4 | |
| -2 or -8 | |
| -5 or -8 | |
| 5 or -8 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
x2 - 2x - 9 = -x + 3
x2 - 2x - 9 - 3 = -x
x2 - 2x + x - 12 = 0
x2 - x - 12 = 0
Next, factor the quadratic equation:
x2 - x - 12 = 0
(x + 3)(x - 4) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x - 4) must equal zero:
If (x + 3) = 0, x must equal -3
If (x - 4) = 0, x must equal 4
So the solution is that x = -3 or 4
If a = 6, b = 2, c = 7, and d = 2, what is the perimeter of this quadrilateral?
| 14 | |
| 13 | |
| 21 | |
| 17 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 2 + 7 + 2
p = 17