| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.65 |
| Score | 0% | 53% |
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
lw x wh + lh |
|
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
h x l x w |
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.
If the base of this triangle is 4 and the height is 3, what is the area?
| 45\(\frac{1}{2}\) | |
| 6 | |
| 48 | |
| 35 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 3 = \( \frac{12}{2} \) = 6
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
|
a2 - c2 |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
Which of the following statements about a parallelogram is not true?
the area of a parallelogram is base x height |
|
a parallelogram is a quadrilateral |
|
opposite sides and adjacent angles are equal |
|
the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).
Find the value of a:
a + z = -1
-5a - 6z = -9
| 1\(\frac{1}{9}\) | |
| -15 | |
| 2\(\frac{1}{5}\) | |
| \(\frac{32}{67}\) |
You need to find the value of a so solve the first equation in terms of z:
a + z = -1
z = -1 - a
then substitute the result (-1 - 1a) into the second equation:
-5a - 6(-1 - a) = -9
-5a + (-6 x -1) + (-6 x -a) = -9
-5a + 6 + 6a = -9
-5a + 6a = -9 - 6
a = -15
a = \( \frac{-15}{1} \)
a = -15