| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.58 |
| Score | 0% | 52% |
The dimensions of this cylinder are height (h) = 1 and radius (r) = 9. What is the surface area?
| 180π | |
| 110π | |
| 90π | |
| 270π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 1)
sa = 2π(81) + 2π(9)
sa = (2 x 81)π + (2 x 9)π
sa = 162π + 18π
sa = 180π
If a = c = 9, b = d = 3, and the blue angle = 78°, what is the area of this parallelogram?
| 24 | |
| 27 | |
| 35 | |
| 20 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 3
a = 27
Solve for y:
-5y - 2 < 5 - 9y
| y < -\(\frac{4}{9}\) | |
| y < 1\(\frac{3}{4}\) | |
| y < -\(\frac{2}{9}\) | |
| y < -2 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the < sign and the answer on the other.
-5y - 2 < 5 - 9y
-5y < 5 - 9y + 2
-5y + 9y < 5 + 2
4y < 7
y < \( \frac{7}{4} \)
y < 1\(\frac{3}{4}\)
Which of the following is not required to define the slope-intercept equation for a line?
\({\Delta y \over \Delta x}\) |
|
slope |
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x-intercept |
|
y-intercept |
A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
Which of the following statements about a parallelogram is not true?
opposite sides and adjacent angles are equal |
|
the area of a parallelogram is base x height |
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a parallelogram is a quadrilateral |
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the perimeter of a parallelogram is the sum of the lengths of all sides |
A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).