| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.27 |
| Score | 0% | 45% |
If the base of this triangle is 1 and the height is 5, what is the area?
| 2\(\frac{1}{2}\) | |
| 35 | |
| 91 | |
| 36 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 1 x 5 = \( \frac{5}{2} \) = 2\(\frac{1}{2}\)
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r |
|
c = π d |
|
c = π r2 |
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.
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
|
trapezoid |
|
quadrilateral |
|
rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The dimensions of this trapezoid are a = 6, b = 4, c = 7, d = 8, and h = 5. What is the area?
| 35 | |
| 30 | |
| 16\(\frac{1}{2}\) | |
| 18 |
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(4 + 8)(5)
a = ½(12)(5)
a = ½(60) = \( \frac{60}{2} \)
a = 30
The endpoints of this line segment are at (-2, -6) and (2, -2). What is the slope-intercept equation for this line?
| y = x - 4 | |
| y = -2x + 1 | |
| y = -2x - 3 | |
| y = -x + 3 |
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 -4. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (-6.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)Plugging these values into the slope-intercept equation:
y = x - 4