| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.69 |
| Score | 0% | 54% |
The dimensions of this cylinder are height (h) = 4 and radius (r) = 8. What is the surface area?
| 192π | |
| 176π | |
| 10π | |
| 88π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(82) + 2π(8 x 4)
sa = 2π(64) + 2π(32)
sa = (2 x 64)π + (2 x 32)π
sa = 128π + 64π
sa = 192π
What is the area of a circle with a radius of 2?
| 4π | |
| 9π | |
| 8π | |
| 64π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
If angle a = 67° and angle b = 31° what is the length of angle d?
| 127° | |
| 113° | |
| 112° | |
| 129° |
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° - 67° - 31° = 82°
So, d° = 31° + 82° = 113°
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° - 67° = 113°
A(n) __________ is to a parallelogram as a square is to a rectangle.
triangle |
|
rhombus |
|
quadrilateral |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
The endpoints of this line segment are at (-2, -1) and (2, 9). What is the slope of this line?
| -\(\frac{1}{2}\) | |
| 1\(\frac{1}{2}\) | |
| 2\(\frac{1}{2}\) | |
| -2 |
The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -1) and (2, 9) so the slope becomes:
m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(9.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{10}{4} \)