| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.79 |
| Score | 0% | 56% |
Which types of triangles will always have at least two sides of equal length?
equilateral, isosceles and right |
|
equilateral and isosceles |
|
equilateral and right |
|
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.
Which of the following statements about a triangle is not true?
perimeter = sum of side lengths |
|
exterior angle = sum of two adjacent interior angles |
|
sum of interior angles = 180° |
|
area = ½bh |
A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.
The dimensions of this cylinder are height (h) = 5 and radius (r) = 5. What is the surface area?
| 100π | |
| 18π | |
| 96π | |
| 66π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(52) + 2π(5 x 5)
sa = 2π(25) + 2π(25)
sa = (2 x 25)π + (2 x 25)π
sa = 50π + 50π
sa = 100π
Solve for b:
7b - 2 = -1 - 9b
| -1\(\frac{1}{7}\) | |
| \(\frac{1}{16}\) | |
| \(\frac{3}{8}\) | |
| 8 |
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 equal sign and the answer on the other.
7b - 2 = -1 - 9b
7b = -1 - 9b + 2
7b + 9b = -1 + 2
16b = 1
b = \( \frac{1}{16} \)
b = \(\frac{1}{16}\)
Solve for c:
c2 + 15c + 54 = 0
| 9 or 3 | |
| -7 or -7 | |
| 9 or -2 | |
| -6 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 15c + 54 = 0
(c + 6)(c + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c + 6) or (c + 9) must equal zero:
If (c + 6) = 0, c must equal -6
If (c + 9) = 0, c must equal -9
So the solution is that c = -6 or -9