| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
The dimensions of this cylinder are height (h) = 6 and radius (r) = 2. What is the surface area?
| 224π | |
| 110π | |
| 32π | |
| 180π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 6)
sa = 2π(4) + 2π(12)
sa = (2 x 4)π + (2 x 12)π
sa = 8π + 24π
sa = 32π
If a = c = 1, b = d = 4, what is the area of this rectangle?
| 54 | |
| 28 | |
| 4 | |
| 8 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 1 x 4
a = 4
Solve -9c - 9c = -8c - 9x - 3 for c in terms of x.
| 7x - 7 | |
| 3x + \(\frac{1}{4}\) | |
| x + 3 | |
| 1\(\frac{1}{4}\)x + \(\frac{7}{8}\) |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-9c - 9x = -8c - 9x - 3
-9c = -8c - 9x - 3 + 9x
-9c + 8c = -9x - 3 + 9x
-c = - 3
c = \( \frac{ - 3}{-1} \)
c = \( \frac{}{-1} \) + \( \frac{-3}{-1} \)
c = x + 3
On this circle, line segment AB is the:
chord |
|
radius |
|
circumference |
|
diameter |
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 x:
-7x + 6 > 5 - 8x
| x > \(\frac{3}{4}\) | |
| x > -\(\frac{4}{5}\) | |
| x > -1 | |
| x > 1 |
To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.
-7x + 6 > 5 - 8x
-7x > 5 - 8x - 6
-7x + 8x > 5 - 6
x > -1