| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.85 |
| Score | 0% | 57% |
What is the circumference of a circle with a diameter of 5?
| 8π | |
| 4π | |
| 20π | |
| 5π |
The formula for circumference is circle diameter x π:
c = πd
c = 5π
Solve 9b - 5b = 6b + 9z + 7 for b in terms of z.
| 4z + 2\(\frac{1}{2}\) | |
| -\(\frac{1}{8}\)z - 1 | |
| -\(\frac{1}{4}\)z + \(\frac{1}{8}\) | |
| 4\(\frac{2}{3}\)z + 2\(\frac{1}{3}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
9b - 5z = 6b + 9z + 7
9b = 6b + 9z + 7 + 5z
9b - 6b = 9z + 7 + 5z
3b = 14z + 7
b = \( \frac{14z + 7}{3} \)
b = \( \frac{14z}{3} \) + \( \frac{7}{3} \)
b = 4\(\frac{2}{3}\)z + 2\(\frac{1}{3}\)
The dimensions of this cube are height (h) = 5, length (l) = 3, and width (w) = 2. What is the volume?
| 441 | |
| 36 | |
| 30 | |
| 324 |
The volume of a cube is height x length x width:
v = h x l x w
v = 5 x 3 x 2
v = 30
The dimensions of this trapezoid are a = 4, b = 5, c = 7, d = 6, and h = 2. What is the area?
| 19\(\frac{1}{2}\) | |
| 30 | |
| 11 | |
| 21 |
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(5 + 6)(2)
a = ½(11)(2)
a = ½(22) = \( \frac{22}{2} \)
a = 11
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 - a2 |
|
c2 + a2 |
|
c - a |
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, \(c = \sqrt{a + b}\)