| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.61 |
| Score | 0% | 52% |
If a = c = 9, b = d = 8, and the blue angle = 72°, what is the area of this parallelogram?
| 72 | |
| 8 | |
| 36 | |
| 45 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 8
a = 72
The formula for the area of a circle is which of the following?
c = π r |
|
c = π d2 |
|
c = π d |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 6. What is the surface area?
| 66 | |
| 104 | |
| 124 | |
| 158 |
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 1 x 6) + (2 x 6 x 8) + (2 x 1 x 8)
sa = (12) + (96) + (16)
sa = 124
Which of the following is not true about both rectangles and squares?
the area is length x width |
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the lengths of all sides are equal |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Solve for c:
-6c + 3 = -1 + 5c
| -1\(\frac{2}{5}\) | |
| -9 | |
| \(\frac{4}{11}\) | |
| -\(\frac{1}{6}\) |
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.
-6c + 3 = -1 + 5c
-6c = -1 + 5c - 3
-6c - 5c = -1 - 3
-11c = -4
c = \( \frac{-4}{-11} \)
c = \(\frac{4}{11}\)