| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.44 |
| Score | 0% | 69% |
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, right, obtuse |
|
acute, obtuse, right |
|
right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this trapezoid are a = 4, b = 2, c = 7, d = 6, and h = 3. What is the area?
| 16\(\frac{1}{2}\) | |
| 12 | |
| 22\(\frac{1}{2}\) | |
| 32\(\frac{1}{2}\) |
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(2 + 6)(3)
a = ½(8)(3)
a = ½(24) = \( \frac{24}{2} \)
a = 12
If a = 4, b = 1, c = 1, and d = 4, what is the perimeter of this quadrilateral?
| 19 | |
| 25 | |
| 10 | |
| 20 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 4 + 1 + 1 + 4
p = 10
Solve for c:
c2 - 3c - 18 = 0
| 4 or 2 | |
| -3 or 6 | |
| 7 or -8 | |
| 7 or 3 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 - 3c - 18 = 0
(c + 3)(c - 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 3) or (c - 6) must equal zero:
If (c + 3) = 0, c must equal -3
If (c - 6) = 0, c must equal 6
So the solution is that c = -3 or 6
What is the circumference of a circle with a radius of 12?
| 28π | |
| 36π | |
| 24π | |
| 11π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 12)
c = 24π