| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.11 |
| Score | 0% | 62% |
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 |
|
h2 x l2 x w2 |
|
h x l x w |
|
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.
A coordinate grid is composed of which of the following?
all of these |
|
x-axis |
|
origin |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If angle a = 40° and angle b = 62° what is the length of angle d?
| 140° | |
| 141° | |
| 126° | |
| 157° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 40° - 62° = 78°
So, d° = 62° + 78° = 140°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 40° = 140°
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
rhombus |
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triangle |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Find the value of a:
-2a + z = 7
2a + 3z = -1
| 4\(\frac{5}{7}\) | |
| \(\frac{12}{25}\) | |
| -2\(\frac{3}{4}\) | |
| -1\(\frac{5}{9}\) |
You need to find the value of a so solve the first equation in terms of z:
-2a + z = 7
z = 7 + 2a
then substitute the result (7 - -2a) into the second equation:
2a + 3(7 + 2a) = -1
2a + (3 x 7) + (3 x 2a) = -1
2a + 21 + 6a = -1
2a + 6a = -1 - 21
8a = -22
a = \( \frac{-22}{8} \)
a = -2\(\frac{3}{4}\)