| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.26 |
| Score | 0% | 65% |
If side a = 1, side b = 9, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{82} \) | |
| \( \sqrt{85} \) | |
| \( \sqrt{41} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 12 + 92
c2 = 1 + 81
c2 = 82
c = \( \sqrt{82} \)
The dimensions of this cylinder are height (h) = 6 and radius (r) = 7. What is the volume?
| 20π | |
| 294π | |
| 245π | |
| 75π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 6)
v = 294π
The dimensions of this trapezoid are a = 4, b = 7, c = 6, d = 8, and h = 3. What is the area?
| 11 | |
| 22\(\frac{1}{2}\) | |
| 12 | |
| 26 |
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(7 + 8)(3)
a = ½(15)(3)
a = ½(45) = \( \frac{45}{2} \)
a = 22\(\frac{1}{2}\)
What is 2a - 4a?
| -2a2 | |
| a2 | |
| 6 | |
| -2a |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
2a - 4a = -2a
If angle a = 31° and angle b = 54° what is the length of angle c?
| 97° | |
| 91° | |
| 113° | |
| 95° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 31° - 54° = 95°