| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
The dimensions of this trapezoid are a = 6, b = 2, c = 9, d = 5, and h = 5. What is the area?
| 22 | |
| 26 | |
| 17\(\frac{1}{2}\) | |
| 10\(\frac{1}{2}\) |
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(2 + 5)(5)
a = ½(7)(5)
a = ½(35) = \( \frac{35}{2} \)
a = 17\(\frac{1}{2}\)
The dimensions of this cube are height (h) = 9, length (l) = 6, and width (w) = 8. What is the volume?
| 270 | |
| 432 | |
| 486 | |
| 240 |
The volume of a cube is height x length x width:
v = h x l x w
v = 9 x 6 x 8
v = 432
On this circle, line segment AB is the:
radius |
|
circumference |
|
diameter |
|
chord |
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).
If side a = 6, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{80} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 42
c2 = 36 + 16
c2 = 52
c = \( \sqrt{52} \)
What is the circumference of a circle with a diameter of 11?
| 11π | |
| 34π | |
| 1π | |
| 5π |
The formula for circumference is circle diameter x π:
c = πd
c = 11π