| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Simplify (4a)(5ab) + (5a2)(3b).
| 35ab2 | |
| 35a2b | |
| 5a2b | |
| 72a2b |
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.
(4a)(5ab) + (5a2)(3b)
(4 x 5)(a x a x b) + (5 x 3)(a2 x b)
(20)(a1+1 x b) + (15)(a2b)
20a2b + 15a2b
35a2b
A right angle measures:
360° |
|
180° |
|
45° |
|
90° |
A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.
The dimensions of this cylinder are height (h) = 6 and radius (r) = 3. What is the volume?
| 6π | |
| 196π | |
| 512π | |
| 54π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 6)
v = 54π
On this circle, a line segment connecting point A to point D is called:
circumference |
|
diameter |
|
radius |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
The dimensions of this cylinder are height (h) = 3 and radius (r) = 6. What is the surface area?
| 224π | |
| 48π | |
| 168π | |
| 108π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(62) + 2π(6 x 3)
sa = 2π(36) + 2π(18)
sa = (2 x 36)π + (2 x 18)π
sa = 72π + 36π
sa = 108π