| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.97 |
| Score | 0% | 59% |
The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the volume?
| 225π | |
| 8π | |
| 128π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 9)
v = 225π
On this circle, line segment CD is the:
radius |
|
chord |
|
circumference |
|
diameter |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If a = 9 and x = 6, what is the value of 5a(a - x)?
| -252 | |
| 32 | |
| -15 | |
| 135 |
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.)
5a(a - x)
5(9)(9 - 6)
5(9)(3)
(45)(3)
135
Solve for b:
8b + 3 > \( \frac{b}{-1} \)
| b > -\(\frac{1}{3}\) | |
| b > -\(\frac{12}{37}\) | |
| b > -1\(\frac{19}{62}\) | |
| b > -\(\frac{36}{41}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
8b + 3 > \( \frac{b}{-1} \)
-1 x (8b + 3) > b
(-1 x 8b) + (-1 x 3) > b
-8b - 3 > b
-8b - 3 - b > 0
-8b - b > 3
-9b > 3
b > \( \frac{3}{-9} \)
b > -\(\frac{1}{3}\)
What is 4a8 + 9a8?
| 13a8 | |
| 36a8 | |
| -5a16 | |
| 13a16 |
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.
4a8 + 9a8 = 13a8