| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.51 |
| Score | 0% | 50% |
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r2 |
|
c = π r |
|
c = π d |
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 cylinder are height (h) = 4 and radius (r) = 4. What is the volume?
| 288π | |
| 64π | |
| 63π | |
| 144π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 4)
v = 64π
Factor y2 + 3y - 4
| (y - 1)(y - 4) | |
| (y + 1)(y + 4) | |
| (y - 1)(y + 4) | |
| (y + 1)(y - 4) |
To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce -4 as well and sum (Inside, Outside) to equal 3. For this problem, those two numbers are -1 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + 3y - 4
y2 + (-1 + 4)y + (-1 x 4)
(y - 1)(y + 4)
If a = c = 8, b = d = 4, and the blue angle = 79°, what is the area of this parallelogram?
| 32 | |
| 63 | |
| 7 | |
| 16 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 4
a = 32
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 - a2 |
|
a2 - c2 |
|
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, \(c = \sqrt{a + b}\)