| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.70 |
| Score | 0% | 54% |
The dimensions of this trapezoid are a = 4, b = 3, c = 6, d = 2, and h = 2. What is the area?
| 22 | |
| 13 | |
| 22\(\frac{1}{2}\) | |
| 5 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(3 + 2)(2)
a = ½(5)(2)
a = ½(10) = \( \frac{10}{2} \)
a = 5
Simplify (y + 7)(y - 7)
| y2 - 49 | |
| 72 | |
| y2 + 14y + 49 | |
| y2 - 14y + 49 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 7)(y - 7)
(y x y) + (y x -7) + (7 x y) + (7 x -7)
y2 - 7y + 7y - 49
y2 - 49
On this circle, line segment AB is the:
radius |
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diameter |
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chord |
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circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
Which of the following is not true about both rectangles and squares?
all interior angles are right angles |
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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 |
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).
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 r2 |
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c = π r |
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.