| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.91 |
| Score | 0% | 58% |
If side x = 5cm, side y = 12cm, and side z = 10cm what is the perimeter of this triangle?
| 27cm | |
| 34cm | |
| 38cm | |
| 33cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 5cm + 12cm + 10cm = 27cm
The dimensions of this trapezoid are a = 4, b = 2, c = 5, d = 7, and h = 2. What is the area?
| 17\(\frac{1}{2}\) | |
| 12 | |
| 9 | |
| 45 |
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 + 7)(2)
a = ½(9)(2)
a = ½(18) = \( \frac{18}{2} \)
a = 9
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c2 - a2 |
|
c - a |
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, \(c = \sqrt{a + b}\)
On this circle, line segment CD is the:
diameter |
|
radius |
|
chord |
|
circumference |
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).
Simplify (2a)(6ab) - (3a2)(7b).
| -9a2b | |
| 33ab2 | |
| 80a2b | |
| 9ab2 |
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.
(2a)(6ab) - (3a2)(7b)
(2 x 6)(a x a x b) - (3 x 7)(a2 x b)
(12)(a1+1 x b) - (21)(a2b)
12a2b - 21a2b
-9a2b