| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.27 |
| Score | 0% | 65% |
The dimensions of this cube are height (h) = 4, length (l) = 8, and width (w) = 6. What is the surface area?
| 108 | |
| 94 | |
| 280 | |
| 208 |
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 6) + (2 x 6 x 4) + (2 x 8 x 4)
sa = (96) + (48) + (64)
sa = 208
Solve for c:
9c - 7 = \( \frac{c}{-7} \)
| \(\frac{49}{64}\) | |
| -1\(\frac{17}{37}\) | |
| -\(\frac{49}{50}\) | |
| 5\(\frac{1}{3}\) |
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.
9c - 7 = \( \frac{c}{-7} \)
-7 x (9c - 7) = c
(-7 x 9c) + (-7 x -7) = c
-63c + 49 = c
-63c + 49 - c = 0
-63c - c = -49
-64c = -49
c = \( \frac{-49}{-64} \)
c = \(\frac{49}{64}\)
A(n) __________ is two expressions separated by an equal sign.
problem |
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equation |
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expression |
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formula |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
If side a = 5, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{41} \) | |
| \( \sqrt{58} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 92
c2 = 25 + 81
c2 = 106
c = \( \sqrt{106} \)
A quadrilateral is a shape with __________ sides.
4 |
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5 |
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2 |
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3 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.