| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.42 |
| Score | 0% | 68% |
If angle a = 29° and angle b = 40° what is the length of angle d?
| 118° | |
| 122° | |
| 151° | |
| 130° |
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° - 29° - 40° = 111°
So, d° = 40° + 111° = 151°
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° - 29° = 151°
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h2 |
|
π r2h |
|
2(π r2) + 2π rh |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If side x = 13cm, side y = 6cm, and side z = 6cm what is the perimeter of this triangle?
| 30cm | |
| 25cm | |
| 29cm | |
| 39cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 13cm + 6cm + 6cm = 25cm
Simplify (y + 2)(y + 3)
| y2 + y - 6 | |
| y2 + 5y + 6 | |
| y2 - 5y + 6 | |
| y2 - y - 6 |
To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:
(y + 2)(y + 3)
(y x y) + (y x 3) + (2 x y) + (2 x 3)
y2 + 3y + 2y + 6
y2 + 5y + 6
The dimensions of this cube are height (h) = 2, length (l) = 4, and width (w) = 1. What is the volume?
| 48 | |
| 80 | |
| 8 | |
| 64 |
The volume of a cube is height x length x width:
v = h x l x w
v = 2 x 4 x 1
v = 8