| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.21 |
| Score | 0% | 64% |
The dimensions of this cylinder are height (h) = 6 and radius (r) = 6. What is the volume?
| 180π | |
| 576π | |
| 4π | |
| 216π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 6)
v = 216π
On this circle, a line segment connecting point A to point D is called:
radius |
|
circumference |
|
diameter |
|
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).
Solve for c:
c2 + 2c - 15 = 0
| 3 or 3 | |
| 3 or -5 | |
| 3 or -7 | |
| 8 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
c2 + 2c - 15 = 0
(c - 3)(c + 5) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (c - 3) or (c + 5) must equal zero:
If (c - 3) = 0, c must equal 3
If (c + 5) = 0, c must equal -5
So the solution is that c = 3 or -5
If a = 6, b = 7, c = 4, and d = 2, what is the perimeter of this quadrilateral?
| 19 | |
| 16 | |
| 17 | |
| 22 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 6 + 7 + 4 + 2
p = 19
Simplify (6a)(2ab) + (7a2)(6b).
| 54a2b | |
| 30ab2 | |
| -30ab2 | |
| 54ab2 |
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.
(6a)(2ab) + (7a2)(6b)
(6 x 2)(a x a x b) + (7 x 6)(a2 x b)
(12)(a1+1 x b) + (42)(a2b)
12a2b + 42a2b
54a2b