| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.35 |
| Score | 0% | 67% |
If angle a = 20° and angle b = 58° what is the length of angle d?
| 117° | |
| 145° | |
| 160° | |
| 139° |
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° - 20° - 58° = 102°
So, d° = 58° + 102° = 160°
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° - 20° = 160°
A coordinate grid is composed of which of the following?
x-axis |
|
origin |
|
all of these |
|
y-axis |
The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.
The dimensions of this cylinder are height (h) = 9 and radius (r) = 2. What is the volume?
| 75π | |
| 180π | |
| 36π | |
| 288π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(22 x 9)
v = 36π
The dimensions of this cylinder are height (h) = 6 and radius (r) = 9. What is the surface area?
| 60π | |
| 270π | |
| 182π | |
| 36π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(92) + 2π(9 x 6)
sa = 2π(81) + 2π(54)
sa = (2 x 81)π + (2 x 54)π
sa = 162π + 108π
sa = 270π
The formula for the area of a circle is which of the following?
a = π d |
|
a = π d2 |
|
a = π r2 |
|
a = π r |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.