| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.98 |
| Score | 0% | 60% |
Which types of triangles will always have at least two sides of equal length?
equilateral and isosceles |
|
equilateral and right |
|
isosceles and right |
|
equilateral, isosceles and right |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
What is the circumference of a circle with a radius of 5?
| 9π | |
| 7π | |
| 30π | |
| 10π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 5)
c = 10π
Solve for c:
6c + 3 > 2 + 2c
| c > -\(\frac{2}{3}\) | |
| c > -\(\frac{2}{7}\) | |
| c > -\(\frac{1}{4}\) | |
| c > \(\frac{8}{9}\) |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
6c + 3 > 2 + 2c
6c > 2 + 2c - 3
6c - 2c > 2 - 3
4c > -1
c > \( \frac{-1}{4} \)
c > -\(\frac{1}{4}\)
If angle a = 60° and angle b = 69° what is the length of angle c?
| 91° | |
| 119° | |
| 51° | |
| 115° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 69° = 51°
The dimensions of this cylinder are height (h) = 6 and radius (r) = 6. What is the surface area?
| 108π | |
| 144π | |
| 24π | |
| 16π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 6)
sa = 2π(36) + 2π(36)
sa = (2 x 36)π + (2 x 36)π
sa = 72π + 72π
sa = 144π