| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h |
|
2(π r2) + 2π rh |
|
π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
Which of the following is not true about both rectangles and squares?
the perimeter is the sum of the lengths of all four sides |
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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 |
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).
Simplify (3a)(9ab) + (7a2)(6b).
| 15a2b | |
| 156a2b | |
| -15a2b | |
| 69a2b |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(9ab) + (7a2)(6b)
(3 x 9)(a x a x b) + (7 x 6)(a2 x b)
(27)(a1+1 x b) + (42)(a2b)
27a2b + 42a2b
69a2b
What is the area of a circle with a radius of 5?
| 64π | |
| 9π | |
| 6π | |
| 25π |
The formula for area is πr2:
a = πr2
a = π(52)
a = 25π
A right angle measures:
45° |
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180° |
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90° |
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360° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.