| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.01 |
| Score | 0% | 60% |
If angle a = 24° and angle b = 70° what is the length of angle c?
| 86° | |
| 83° | |
| 93° | |
| 106° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 24° - 70° = 86°
The dimensions of this trapezoid are a = 5, b = 7, c = 7, d = 2, and h = 3. What is the area?
| 14 | |
| 24 | |
| 13\(\frac{1}{2}\) | |
| 19\(\frac{1}{2}\) |
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 + 2)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)
Breaking apart a quadratic expression into a pair of binomials is called:
factoring |
|
squaring |
|
deconstructing |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.
Find the value of b:
10b + z = 5
9b + z = -3
| 8 | |
| -6\(\frac{2}{3}\) | |
| 1\(\frac{11}{37}\) | |
| -\(\frac{2}{3}\) |
You need to find the value of b so solve the first equation in terms of z:
10b + z = 5
z = 5 - 10b
then substitute the result (5 - 10b) into the second equation:
9b + 1(5 - 10b) = -3
9b + (1 x 5) + (1 x -10b) = -3
9b + 5 - 10b = -3
9b - 10b = -3 - 5
-b = -8
b = \( \frac{-8}{-1} \)
b = 8
The dimensions of this cylinder are height (h) = 2 and radius (r) = 9. What is the volume?
| 16π | |
| 162π | |
| 64π | |
| 128π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 2)
v = 162π