| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.61 |
| Score | 0% | 52% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
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4π r2 |
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π r2h |
|
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.
The dimensions of this cube are height (h) = 8, length (l) = 1, and width (w) = 5. What is the surface area?
| 158 | |
| 106 | |
| 188 | |
| 222 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 1 x 5) + (2 x 5 x 8) + (2 x 1 x 8)
sa = (10) + (80) + (16)
sa = 106
On this circle, a line segment connecting point A to point D is called:
diameter |
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circumference |
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radius |
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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).
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
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equilateral, isosceles and right |
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equilateral and right |
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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.
Solve for z:
z2 - 7z + 6 = 0
| 1 or -2 | |
| 1 or 6 | |
| 7 or 4 | |
| -2 or -2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 7z + 6 = 0
(z - 1)(z - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 1) or (z - 6) must equal zero:
If (z - 1) = 0, z must equal 1
If (z - 6) = 0, z must equal 6
So the solution is that z = 1 or 6