| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.81 |
| Score | 0% | 56% |
On this circle, line segment AB is the:
circumference |
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radius |
|
diameter |
|
chord |
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).
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.
Solve for a:
a2 - 5a - 24 = 0
| 7 or -4 | |
| -3 or 8 | |
| 9 or 6 | |
| 1 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 5a - 24 = 0
(a + 3)(a - 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a + 3) or (a - 8) must equal zero:
If (a + 3) = 0, a must equal -3
If (a - 8) = 0, a must equal 8
So the solution is that a = -3 or 8
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
h2 x l2 x w2 |
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h x l x w |
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2lw x 2wh + 2lh |
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lw x wh + lh |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
The dimensions of this cylinder are height (h) = 1 and radius (r) = 2. What is the volume?
| 4π | |
| 16π | |
| 256π | |
| 75π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 1)
v = 4π