| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.59 |
| Score | 0% | 52% |
The dimensions of this cylinder are height (h) = 7 and radius (r) = 5. What is the surface area?
| 130π | |
| 120π | |
| 42π | |
| 32π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 7)
sa = 2π(25) + 2π(35)
sa = (2 x 25)π + (2 x 35)π
sa = 50π + 70π
sa = 120π
On this circle, a line segment connecting point A to point D is called:
radius |
|
diameter |
|
circumference |
|
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?
a = π r2 |
|
a = π d |
|
a = π d2 |
|
a = 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.
The endpoints of this line segment are at (-2, -1) and (2, -5). What is the slope of this line?
| -1 | |
| -\(\frac{1}{2}\) | |
| 1 | |
| -2\(\frac{1}{2}\) |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)
The endpoints of this line segment are at (-2, 6) and (2, -2). What is the slope-intercept equation for this line?
| y = -3x - 4 | |
| y = -2x - 4 | |
| y = x - 3 | |
| y = -2x + 2 |
The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is 2. The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 6) and (2, -2) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (6.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)Plugging these values into the slope-intercept equation:
y = -2x + 2