| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.70 |
| Score | 0% | 54% |
Which of the following statements about a triangle is not true?
exterior angle = sum of two adjacent interior angles |
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perimeter = sum of side lengths |
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area = ½bh |
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sum of interior angles = 180° |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 9. What is the surface area?
| 10 | |
| 178 | |
| 192 | |
| 240 |
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 9) + (2 x 9 x 8) + (2 x 1 x 8)
sa = (18) + (144) + (16)
sa = 178
The dimensions of this cylinder are height (h) = 9 and radius (r) = 6. What is the volume?
| 6π | |
| 45π | |
| 324π | |
| 8π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 9)
v = 324π
If a = c = 4, b = d = 9, and the blue angle = 62°, what is the area of this parallelogram?
| 35 | |
| 36 | |
| 24 | |
| 6 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 4 x 9
a = 36
Solve -9a - 2a = -8a + 3y - 5 for a in terms of y.
| -3\(\frac{1}{4}\)y - 1\(\frac{1}{4}\) | |
| -5y + 5 | |
| -y - 2 | |
| 10y + 4 |
To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.
-9a - 2y = -8a + 3y - 5
-9a = -8a + 3y - 5 + 2y
-9a + 8a = 3y - 5 + 2y
-a = 5y - 5
a = \( \frac{5y - 5}{-1} \)
a = \( \frac{5y}{-1} \) + \( \frac{-5}{-1} \)
a = -5y + 5