| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
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.
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h2 |
|
π r2h |
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.
Solve for z:
z2 - 4z + 4 = 0
| 8 or 1 | |
| 3 or -8 | |
| 4 or 3 | |
| 2 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
z2 - 4z + 4 = 0
(z - 2)(z - 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, (z - 2) must equal zero:
If (z - 2) = 0, z must equal 2
So the solution is that z = 2
If a = c = 1, b = d = 2, what is the area of this rectangle?
| 27 | |
| 42 | |
| 2 | |
| 56 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 2
a = 2
If side a = 6, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{50} \) | |
| \( \sqrt{61} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{80} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 62 + 52
c2 = 36 + 25
c2 = 61
c = \( \sqrt{61} \)