| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 4.01 |
| Score | 0% | 80% |
What is the circumference of a circle with a radius of 16?
| 19π | |
| 32π | |
| 20π | |
| 7π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 16)
c = 32π
If side x = 12cm, side y = 7cm, and side z = 11cm what is the perimeter of this triangle?
| 34cm | |
| 29cm | |
| 30cm | |
| 20cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 12cm + 7cm + 11cm = 30cm
To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?
Odd |
|
Inside |
|
First |
|
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.
A coordinate grid is composed of which of the following?
x-axis |
|
all of these |
|
y-axis |
|
origin |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
If the area of this square is 1, what is the length of one of the diagonals?
| 2\( \sqrt{2} \) | |
| 6\( \sqrt{2} \) | |
| \( \sqrt{2} \) | |
| 4\( \sqrt{2} \) |
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 = \( \sqrt{a} \) = \( \sqrt{1} \) = 1
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 = 12 + 12
c2 = 2
c = \( \sqrt{2} \)