| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
The dimensions of this cylinder are height (h) = 5 and radius (r) = 5. What is the surface area?
| 198π | |
| 16π | |
| 288π | |
| 100π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 5)
sa = 2π(25) + 2π(25)
sa = (2 x 25)π + (2 x 25)π
sa = 50π + 50π
sa = 100π
If AD = 16 and BD = 12, AB = ?
| 4 | |
| 13 | |
| 12 | |
| 20 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDFactor y2 + y - 6
| (y + 2)(y - 3) | |
| (y - 2)(y + 3) | |
| (y + 2)(y + 3) | |
| (y - 2)(y - 3) |
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 -6 as well and sum (Inside, Outside) to equal 1. For this problem, those two numbers are -2 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 + y - 6
y2 + (-2 + 3)y + (-2 x 3)
(y - 2)(y + 3)
Which types of triangles will always have at least two sides of equal length?
isosceles and right |
|
equilateral and isosceles |
|
equilateral, isosceles and right |
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equilateral and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
a2 - c2 |
|
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, \(c = \sqrt{a + b}\)