| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If the base of this triangle is 7 and the height is 2, what is the area?
| 7 | |
| 38\(\frac{1}{2}\) | |
| 84 | |
| 82\(\frac{1}{2}\) |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 2 = \( \frac{14}{2} \) = 7
Solve for x:
x2 - x - 56 = 0
| -7 or 8 | |
| 4 or -5 | |
| 2 or 1 | |
| -3 or -5 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 - x - 56 = 0
(x + 7)(x - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 7) or (x - 8) must equal zero:
If (x + 7) = 0, x must equal -7
If (x - 8) = 0, x must equal 8
So the solution is that x = -7 or 8
The dimensions of this cylinder are height (h) = 1 and radius (r) = 1. What is the volume?
| 8π | |
| 48π | |
| 448π | |
| 1π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 1)
v = 1π
The dimensions of this trapezoid are a = 6, b = 3, c = 8, d = 8, and h = 4. What is the area?
| 16 | |
| 22 | |
| 30 | |
| 26 |
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 + 8)(4)
a = ½(11)(4)
a = ½(44) = \( \frac{44}{2} \)
a = 22
On this circle, line segment AB is the:
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).