| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.30 |
| Score | 0% | 66% |
The dimensions of this cylinder are height (h) = 3 and radius (r) = 1. What is the volume?
| 72π | |
| 3π | |
| 98π | |
| 125π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 3)
v = 3π
What is 8a + 9a?
| -a2 | |
| 17a | |
| 17a2 | |
| -1 |
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 = 17a
If side a = 5, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{89} \) | |
| \( \sqrt{37} \) | |
| \( \sqrt{130} \) | |
| \( \sqrt{41} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 82
c2 = 25 + 64
c2 = 89
c = \( \sqrt{89} \)
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
|
c2 - a2 |
|
a2 - c2 |
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, \(c = \sqrt{a + b}\)
What is 7a3 + 4a3?
| 11a6 | |
| 28a3 | |
| 11a3 | |
| 11 |
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.
7a3 + 4a3 = 11a3