| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.39 |
| Score | 0% | 68% |
If side a = 5, side b = 4, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{41} \) | |
| \( \sqrt{13} \) | |
| \( \sqrt{34} \) | |
| \( \sqrt{82} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 42
c2 = 25 + 16
c2 = 41
c = \( \sqrt{41} \)
If angle a = 38° and angle b = 53° what is the length of angle d?
| 150° | |
| 139° | |
| 142° | |
| 138° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 38° - 53° = 89°
So, d° = 53° + 89° = 142°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 38° = 142°
The dimensions of this cube are height (h) = 8, length (l) = 4, and width (w) = 7. What is the surface area?
| 232 | |
| 254 | |
| 190 | |
| 306 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 4 x 7) + (2 x 7 x 8) + (2 x 4 x 8)
sa = (56) + (112) + (64)
sa = 232
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
pairs |
|
exponents |
|
division |
|
addition |
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 a = c = 1, b = d = 6, what is the area of this rectangle?
| 30 | |
| 18 | |
| 6 | |
| 40 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 6
a = 6