| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.96 |
| Score | 0% | 59% |
The dimensions of this trapezoid are a = 5, b = 6, c = 7, d = 9, and h = 4. What is the area?
| 22\(\frac{1}{2}\) | |
| 12 | |
| 14 | |
| 30 |
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(6 + 9)(4)
a = ½(15)(4)
a = ½(60) = \( \frac{60}{2} \)
a = 30
Solve for a:
2a + 2 = \( \frac{a}{8} \)
| -1\(\frac{1}{15}\) | |
| \(\frac{30}{41}\) | |
| -\(\frac{2}{19}\) | |
| -\(\frac{36}{73}\) |
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 equal sign and the answer on the other.
2a + 2 = \( \frac{a}{8} \)
8 x (2a + 2) = a
(8 x 2a) + (8 x 2) = a
16a + 16 = a
16a + 16 - a = 0
16a - a = -16
15a = -16
a = \( \frac{-16}{15} \)
a = -1\(\frac{1}{15}\)
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
|
acute, right, obtuse |
|
right, acute, obtuse |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for a:
a2 - 36 = 0
| 9 or -2 | |
| -3 or -9 | |
| 8 or 1 | |
| 6 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
a2 - 36 = 0
(a - 6)(a + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (a - 6) or (a + 6) must equal zero:
If (a - 6) = 0, a must equal 6
If (a + 6) = 0, a must equal -6
So the solution is that a = 6 or -6
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 |
|
lw x wh + lh |
|
h x l x w |
|
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.