| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
4π r2 |
|
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.
If a = c = 9, b = d = 3, and the blue angle = 73°, what is the area of this parallelogram?
| 18 | |
| 28 | |
| 27 | |
| 21 |
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
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
addition |
|
exponents |
|
division |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
The endpoints of this line segment are at (-2, 7) and (2, -5). What is the slope-intercept equation for this line?
| y = x - 2 | |
| y = -3x + 4 | |
| y = -2x + 3 | |
| y = -3x + 1 |
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 1. 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, 7) and (2, -5) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-5.0) - (7.0)}{(2) - (-2)} \) = \( \frac{-12}{4} \)Plugging these values into the slope-intercept equation:
y = -3x + 1
What is the area of a circle with a diameter of 10?
| 4π | |
| 64π | |
| 7π | |
| 25π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{10}{2} \)
r = 5
a = πr2
a = π(52)
a = 25π