| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.93 |
| Score | 0% | 59% |
The dimensions of this cylinder are height (h) = 8 and radius (r) = 9. What is the surface area?
| 40π | |
| 16π | |
| 306π | |
| 224π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 8)
sa = 2π(81) + 2π(72)
sa = (2 x 81)π + (2 x 72)π
sa = 162π + 144π
sa = 306π
If a = c = 9, b = d = 1, what is the area of this rectangle?
| 9 | |
| 6 | |
| 16 | |
| 64 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 9 x 1
a = 9
Which of the following statements about a triangle is not true?
area = ½bh |
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sum of interior angles = 180° |
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perimeter = sum of side lengths |
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exterior angle = sum of two adjacent interior angles |
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.
If angle a = 36° and angle b = 53° what is the length of angle d?
| 144° | |
| 125° | |
| 152° | |
| 148° |
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° - 36° - 53° = 91°
So, d° = 53° + 91° = 144°
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° - 36° = 144°
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
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equilateral and isosceles |
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isosceles and right |
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equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.