| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.68 |
| Score | 0% | 54% |
If a = c = 6, b = d = 8, and the blue angle = 79°, what is the area of this parallelogram?
| 48 | |
| 15 | |
| 4 | |
| 8 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 6 x 8
a = 48
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
c2 + a2 |
|
c2 - a2 |
|
a2 - c2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π r |
|
c = π d |
|
c = π d2 |
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.
What is 4a + 7a?
| 11a | |
| -3 | |
| 28a2 | |
| -3a2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
4a + 7a = 11a
The dimensions of this trapezoid are a = 6, b = 9, c = 7, d = 7, and h = 5. What is the area?
| 32\(\frac{1}{2}\) | |
| 6 | |
| 13\(\frac{1}{2}\) | |
| 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(9 + 7)(5)
a = ½(16)(5)
a = ½(80) = \( \frac{80}{2} \)
a = 40