| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.24 |
| Score | 0% | 65% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h2 |
|
π r2h |
|
4π r2 |
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 a = 2, side b = 7, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{117} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 22 + 72
c2 = 4 + 49
c2 = 53
c = \( \sqrt{53} \)
Simplify (7a)(4ab) - (9a2)(4b).
| 64a2b | |
| 143ab2 | |
| -8a2b | |
| 64ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(7a)(4ab) - (9a2)(4b)
(7 x 4)(a x a x b) - (9 x 4)(a2 x b)
(28)(a1+1 x b) - (36)(a2b)
28a2b - 36a2b
-8a2b
If angle a = 60° and angle b = 54° what is the length of angle c?
| 66° | |
| 72° | |
| 95° | |
| 122° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 54° = 66°
Breaking apart a quadratic expression into a pair of binomials is called:
deconstructing |
|
squaring |
|
factoring |
|
normalizing |
To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.