| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.14 |
| Score | 0% | 63% |
The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 3. What is the surface area?
| 136 | |
| 202 | |
| 122 | |
| 28 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 3) + (2 x 3 x 4) + (2 x 8 x 4)
sa = (48) + (24) + (64)
sa = 136
Solve for y:
-9y + 5 = \( \frac{y}{-6} \)
| -2\(\frac{1}{4}\) | |
| -\(\frac{18}{41}\) | |
| \(\frac{30}{53}\) | |
| 4\(\frac{1}{5}\) |
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.
-9y + 5 = \( \frac{y}{-6} \)
-6 x (-9y + 5) = y
(-6 x -9y) + (-6 x 5) = y
54y - 30 = y
54y - 30 - y = 0
54y - y = 30
53y = 30
y = \( \frac{30}{53} \)
y = \(\frac{30}{53}\)
The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the surface area?
| 4π | |
| 272π | |
| 100π | |
| 140π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 9)
sa = 2π(25) + 2π(45)
sa = (2 x 25)π + (2 x 45)π
sa = 50π + 90π
sa = 140π
What is 4a6 + 2a6?
| 8a6 | |
| 8a12 | |
| 6 | |
| 6a6 |
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.
4a6 + 2a6 = 6a6
A quadrilateral is a shape with __________ sides.
3 |
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4 |
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2 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.