| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.68 |
| Score | 0% | 74% |
A right angle measures:
45° |
|
360° |
|
90° |
|
180° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
division |
|
addition |
|
exponents |
When solving an equation with two variables, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
If side a = 3, side b = 2, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{58} \) | |
| \( \sqrt{13} \) | |
| 10 | |
| \( \sqrt{85} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 32 + 22
c2 = 9 + 4
c2 = 13
c = \( \sqrt{13} \)
If a = c = 3, b = d = 6, and the blue angle = 63°, what is the area of this parallelogram?
| 14 | |
| 72 | |
| 18 | |
| 12 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 3 x 6
a = 18
Solve for z:
z2 - 10z + 21 = 0
| 7 or 3 | |
| 5 or 4 | |
| 3 or 7 | |
| 6 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 10z + 21 = 0
(z - 3)(z - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 3) or (z - 7) must equal zero:
If (z - 3) = 0, z must equal 3
If (z - 7) = 0, z must equal 7
So the solution is that z = 3 or 7