| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.50 |
| Score | 0% | 70% |
If side a = 5, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{74} \) | |
| \( \sqrt{61} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{37} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 72
c2 = 25 + 49
c2 = 74
c = \( \sqrt{74} \)
If angle a = 30° and angle b = 21° what is the length of angle c?
| 57° | |
| 125° | |
| 76° | |
| 129° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 30° - 21° = 129°
If a = c = 3, b = d = 4, what is the area of this rectangle?
| 10 | |
| 48 | |
| 81 | |
| 12 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 3 x 4
a = 12
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
|
π r2h2 |
|
4π r2 |
|
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.
Which of the following expressions contains exactly two terms?
polynomial |
|
monomial |
|
binomial |
|
quadratic |
A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.