| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 6. What is the volume?
| 36π | |
| 144π | |
| 384π | |
| 729π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 1)
v = 36π
If a = c = 5, b = d = 9, what is the area of this rectangle?
| 6 | |
| 18 | |
| 45 | |
| 35 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 5 x 9
a = 45
If side a = 3, side b = 1, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{10} \) | |
| \( \sqrt{74} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{90} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 12
c2 = 9 + 1
c2 = 10
c = \( \sqrt{10} \)
What is 7a3 + 5a3?
| 2 | |
| 35a6 | |
| a36 | |
| 12a3 |
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 + 5a3 = 12a3
Simplify 7a x 4b.
| 11ab | |
| 28ab | |
| 28\( \frac{b}{a} \) | |
| 28\( \frac{a}{b} \) |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
7a x 4b = (7 x 4) (a x b) = 28ab