| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
The dimensions of this trapezoid are a = 6, b = 3, c = 9, d = 3, and h = 4. What is the area?
| 26 | |
| 20 | |
| 8 | |
| 12 |
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(3 + 3)(4)
a = ½(6)(4)
a = ½(24) = \( \frac{24}{2} \)
a = 12
The formula for the area of a circle is which of the following?
a = π r |
|
a = π d |
|
a = π r2 |
|
a = π d2 |
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.
The dimensions of this cube are height (h) = 9, length (l) = 9, and width (w) = 8. What is the volume?
| 84 | |
| 18 | |
| 648 | |
| 56 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 9 x 8
v = 648
Solve for x:
-4x - 3 = \( \frac{x}{-6} \)
| \(\frac{18}{35}\) | |
| -3 | |
| -\(\frac{8}{41}\) | |
| -\(\frac{18}{23}\) |
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.
-4x - 3 = \( \frac{x}{-6} \)
-6 x (-4x - 3) = x
(-6 x -4x) + (-6 x -3) = x
24x + 18 = x
24x + 18 - x = 0
24x - x = -18
23x = -18
x = \( \frac{-18}{23} \)
x = -\(\frac{18}{23}\)
If angle a = 20° and angle b = 58° what is the length of angle c?
| 80° | |
| 120° | |
| 102° | |
| 82° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 20° - 58° = 102°