| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 4.00 |
| Score | 0% | 80% |
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
First |
|
Odd |
|
Inside |
|
Last |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.
If a = 7, b = 2, c = 7, and d = 6, what is the perimeter of this quadrilateral?
| 23 | |
| 20 | |
| 22 | |
| 17 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 7 + 2 + 7 + 6
p = 22
A quadrilateral is a shape with __________ sides.
2 |
|
3 |
|
4 |
|
5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If angle a = 28° and angle b = 64° what is the length of angle c?
| 117° | |
| 88° | |
| 73° | |
| 86° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 28° - 64° = 88°
If the area of this square is 9, what is the length of one of the diagonals?
| 3\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 8\( \sqrt{2} \) | |
| 5\( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{9} \) = 3
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 32 + 32
c2 = 18
c = \( \sqrt{18} \) = \( \sqrt{9 x 2} \) = \( \sqrt{9} \) \( \sqrt{2} \)
c = 3\( \sqrt{2} \)