| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.08 |
| Score | 0% | 62% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 9. What is the volume?
| 36π | |
| 405π | |
| 343π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 1)
v = 81π
If c = 1 and y = -2, what is the value of 2c(c - y)?
| 6 | |
| 0 | |
| -56 | |
| 72 |
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.)
2c(c - y)
2(1)(1 + 2)
2(1)(3)
(2)(3)
6
Solve for z:
7z + 5 = \( \frac{z}{-8} \)
| \(\frac{16}{19}\) | |
| -12 | |
| -\(\frac{4}{9}\) | |
| -\(\frac{40}{57}\) |
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 equal sign and the answer on the other.
7z + 5 = \( \frac{z}{-8} \)
-8 x (7z + 5) = z
(-8 x 7z) + (-8 x 5) = z
-56z - 40 = z
-56z - 40 - z = 0
-56z - z = 40
-57z = 40
z = \( \frac{40}{-57} \)
z = -\(\frac{40}{57}\)
If angle a = 47° and angle b = 31° what is the length of angle c?
| 102° | |
| 72° | |
| 53° | |
| 108° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 47° - 31° = 102°
If the base of this triangle is 8 and the height is 4, what is the area?
| 71\(\frac{1}{2}\) | |
| 55 | |
| 66 | |
| 16 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 4 = \( \frac{32}{2} \) = 16