| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.61 |
| Score | 0% | 52% |
The dimensions of this trapezoid are a = 4, b = 5, c = 6, d = 3, and h = 2. What is the area?
| 14 | |
| 8 | |
| 35 | |
| 22\(\frac{1}{2}\) |
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(5 + 3)(2)
a = ½(8)(2)
a = ½(16) = \( \frac{16}{2} \)
a = 8
The formula for the area of a circle is which of the following?
c = π d |
|
c = π d2 |
|
c = π r2 |
|
c = π r |
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.
Simplify 5a x 9b.
| 45\( \frac{a}{b} \) | |
| 14ab | |
| 45a2b2 | |
| 45ab |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
5a x 9b = (5 x 9) (a x b) = 45ab
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
c2 + a2 |
|
c - a |
|
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, \(c = \sqrt{a + b}\)
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
|
equilateral and right |
|
isosceles and right |
|
equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.