| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
The dimensions of this cube are height (h) = 9, length (l) = 3, and width (w) = 5. What is the volume?
| 108 | |
| 256 | |
| 90 | |
| 135 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 3 x 5
v = 135
If side a = 8, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{68} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{34} \) | |
| \( \sqrt{58} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 12
c2 = 64 + 1
c2 = 65
c = \( \sqrt{65} \)
Solve for x:
2x - 4 = 7 + 5x
| -\(\frac{8}{9}\) | |
| -3\(\frac{2}{3}\) | |
| \(\frac{7}{9}\) | |
| -\(\frac{1}{4}\) |
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 equal sign and the answer on the other.
2x - 4 = 7 + 5x
2x = 7 + 5x + 4
2x - 5x = 7 + 4
-3x = 11
x = \( \frac{11}{-3} \)
x = -3\(\frac{2}{3}\)
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
rhombus |
|
triangle |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
On this circle, a line segment connecting point A to point D is called:
circumference |
|
radius |
|
chord |
|
diameter |
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).