| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
The dimensions of this cylinder are height (h) = 7 and radius (r) = 4. What is the surface area?
| 4π | |
| 60π | |
| 66π | |
| 88π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(42) + 2π(4 x 7)
sa = 2π(16) + 2π(28)
sa = (2 x 16)π + (2 x 28)π
sa = 32π + 56π
sa = 88π
If a = 2 and z = 4, what is the value of 7a(a - z)?
| -28 | |
| -54 | |
| 160 | |
| -308 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
7a(a - z)
7(2)(2 - 4)
7(2)(-2)
(14)(-2)
-28
What is 8a - 9a?
| -1a | |
| -a2 | |
| 17 | |
| 72a |
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.
8a - 9a = -1a
When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).
acute, obtuse |
|
supplementary, vertical |
|
obtuse, acute |
|
vertical, supplementary |
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).
This diagram represents two parallel lines with a transversal. If c° = 29, what is the value of a°?
| 153 | |
| 30 | |
| 29 | |
| 156 |
For parallel lines with a transversal, the following relationships apply:
Applying these relationships starting with c° = 29, the value of a° is 29.