| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
The dimensions of this trapezoid are a = 6, b = 4, c = 7, d = 9, and h = 5. What is the area?
| 45 | |
| 32\(\frac{1}{2}\) | |
| 18 | |
| 24 |
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 + 9)(5)
a = ½(13)(5)
a = ½(65) = \( \frac{65}{2} \)
a = 32\(\frac{1}{2}\)
On this circle, a line segment connecting point A to point D is called:
chord |
|
circumference |
|
diameter |
|
radius |
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 volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h x l x w |
|
lw x wh + lh |
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h2 x l2 x w2 |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.
If BD = 8 and AD = 15, AB = ?
| 11 | |
| 17 | |
| 7 | |
| 6 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDSolve for z:
9z + 5 < 8 - 4z
| z < \(\frac{6}{7}\) | |
| z < \(\frac{1}{2}\) | |
| z < \(\frac{2}{7}\) | |
| z < \(\frac{3}{13}\) |
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.
9z + 5 < 8 - 4z
9z < 8 - 4z - 5
9z + 4z < 8 - 5
13z < 3
z < \( \frac{3}{13} \)
z < \(\frac{3}{13}\)