| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
On this circle, line segment CD is the:
diameter |
|
radius |
|
circumference |
|
chord |
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 dimensions of this trapezoid are a = 6, b = 6, c = 9, d = 8, and h = 4. What is the area?
| 27 | |
| 19\(\frac{1}{2}\) | |
| 28 | |
| 17 |
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 + 8)(4)
a = ½(14)(4)
a = ½(56) = \( \frac{56}{2} \)
a = 28
Simplify (9a)(5ab) - (5a2)(5b).
| 70a2b | |
| -20ab2 | |
| 20a2b | |
| 140ab2 |
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.
(9a)(5ab) - (5a2)(5b)
(9 x 5)(a x a x b) - (5 x 5)(a2 x b)
(45)(a1+1 x b) - (25)(a2b)
45a2b - 25a2b
20a2b
If side a = 9, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{8} \) | |
| \( \sqrt{117} \) | |
| \( \sqrt{41} \) | |
| \( \sqrt{58} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 62
c2 = 81 + 36
c2 = 117
c = \( \sqrt{117} \)
If a = c = 1, b = d = 2, and the blue angle = 72°, what is the area of this parallelogram?
| 40 | |
| 2 | |
| 15 | |
| 10 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2