| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.75 |
| Score | 0% | 55% |
The dimensions of this trapezoid are a = 6, b = 5, c = 8, d = 3, and h = 5. What is the area?
| 28 | |
| 20 | |
| 22 | |
| 40 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(5 + 3)(5)
a = ½(8)(5)
a = ½(40) = \( \frac{40}{2} \)
a = 20
If a = c = 2, b = d = 8, and the blue angle = 54°, what is the area of this parallelogram?
| 18 | |
| 72 | |
| 16 | |
| 27 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 2 x 8
a = 16
Which of the following is not required to define the slope-intercept equation for a line?
y-intercept |
|
\({\Delta y \over \Delta x}\) |
|
x-intercept |
|
slope |
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.
Simplify (3a)(7ab) + (6a2)(5b).
| 51a2b | |
| 9a2b | |
| 9ab2 | |
| 110ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(3a)(7ab) + (6a2)(5b)
(3 x 7)(a x a x b) + (6 x 5)(a2 x b)
(21)(a1+1 x b) + (30)(a2b)
21a2b + 30a2b
51a2b
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
|
4π r2 |
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.