| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.13 |
| Score | 0% | 43% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 5. What is the surface area?
| 48π | |
| 88π | |
| 154π | |
| 60π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 1)
sa = 2π(25) + 2π(5)
sa = (2 x 25)π + (2 x 5)π
sa = 50π + 10π
sa = 60π
The formula for the area of a circle is which of the following?
c = π d |
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c = π d2 |
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c = π r |
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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.
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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quadrilateral |
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rhombus |
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triangle |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
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area = ½bh |
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exterior angle = sum of two adjacent interior angles |
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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.
Solve a + 2a = 6a + 8x - 8 for a in terms of x.
| -1\(\frac{1}{7}\)x + \(\frac{1}{7}\) | |
| -1\(\frac{1}{5}\)x + 1\(\frac{3}{5}\) | |
| -\(\frac{3}{13}\)x - \(\frac{9}{13}\) | |
| -\(\frac{6}{11}\)x - \(\frac{5}{11}\) |
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.
a + 2x = 6a + 8x - 8
a = 6a + 8x - 8 - 2x
a - 6a = 8x - 8 - 2x
-5a = 6x - 8
a = \( \frac{6x - 8}{-5} \)
a = \( \frac{6x}{-5} \) + \( \frac{-8}{-5} \)
a = -1\(\frac{1}{5}\)x + 1\(\frac{3}{5}\)