| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
What is the circumference of a circle with a radius of 5?
| 10π | |
| 26π | |
| 17π | |
| 6π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π
If a = c = 9, b = d = 8, what is the area of this rectangle?
| 72 | |
| 24 | |
| 45 | |
| 18 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 8
a = 72
The endpoints of this line segment are at (-2, -5) and (2, -1). What is the slope of this line?
| -1\(\frac{1}{2}\) | |
| 2 | |
| 1 | |
| 1\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -5) and (2, -1) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-1.0) - (-5.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
a2 - c2 |
|
c - a |
|
c2 + a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
If the base of this triangle is 6 and the height is 4, what is the area?
| 32\(\frac{1}{2}\) | |
| 112\(\frac{1}{2}\) | |
| 12 | |
| 77 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 4 = \( \frac{24}{2} \) = 12