| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.80 |
| Score | 0% | 76% |
A quadrilateral is a shape with __________ sides.
3 |
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4 |
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5 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h x l x w |
|
h2 x l2 x w2 |
|
lw x wh + lh |
|
2lw x 2wh + 2lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
What is 8a + 8a?
| 64a | |
| 64a2 | |
| 16a | |
| 0 |
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.
8a + 8a = 16a
If angle a = 51° and angle b = 30° what is the length of angle c?
| 99° | |
| 78° | |
| 128° | |
| 86° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 51° - 30° = 99°
If the area of this square is 81, what is the length of one of the diagonals?
| 6\( \sqrt{2} \) | |
| 9\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{81} \) = 9
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 92 + 92
c2 = 162
c = \( \sqrt{162} \) = \( \sqrt{81 x 2} \) = \( \sqrt{81} \) \( \sqrt{2} \)
c = 9\( \sqrt{2} \)