| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
The dimensions of this cylinder are height (h) = 8 and radius (r) = 9. What is the surface area?
| 306π | |
| 28π | |
| 64π | |
| 44π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 8)
sa = 2π(81) + 2π(72)
sa = (2 x 81)π + (2 x 72)π
sa = 162π + 144π
sa = 306π
What is 9a7 - 6a7?
| 54a7 | |
| 3 | |
| 3a7 | |
| 15a14 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
9a7 - 6a7 = 3a7
If angle a = 60° and angle b = 29° what is the length of angle c?
| 110° | |
| 121° | |
| 129° | |
| 91° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 29° = 91°
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
obtuse, acute |
|
vertical, supplementary |
|
supplementary, vertical |
Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).
Factor y2 - 4y + 3
| (y + 3)(y + 1) | |
| (y - 3)(y - 1) | |
| (y + 3)(y - 1) | |
| (y - 3)(y + 1) |
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 3 as well and sum (Inside, Outside) to equal -4. For this problem, those two numbers are -3 and -1. Then, plug these into a set of binomials using the square root of the First variable (y2):
y2 - 4y + 3
y2 + (-3 - 1)y + (-3 x -1)
(y - 3)(y - 1)