| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.52 |
| Score | 0% | 50% |
The formula for the area of a circle is which of the following?
c = π r2 |
|
c = π r |
|
c = π d |
|
c = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
The dimensions of this cube are height (h) = 1, length (l) = 8, and width (w) = 3. What is the surface area?
| 76 | |
| 294 | |
| 70 | |
| 28 |
The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):
sa = 2lw + 2wh + 2lh
sa = (2 x 8 x 3) + (2 x 3 x 1) + (2 x 8 x 1)
sa = (48) + (6) + (16)
sa = 70
If a = -3 and x = -3, what is the value of 6a(a - x)?
| 0 | |
| -240 | |
| -72 | |
| 12 |
To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)
6a(a - x)
6(-3)(-3 + 3)
6(-3)(0)
(-18)(0)
0
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
4π r2 |
|
π r2h |
|
π r2h2 |
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.
Solve for b:
b2 - 8b - 9 = 0
| -1 or 9 | |
| 2 or -9 | |
| -1 or -4 | |
| 4 or -8 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
b2 - 8b - 9 = 0
(b + 1)(b - 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b + 1) or (b - 9) must equal zero:
If (b + 1) = 0, b must equal -1
If (b - 9) = 0, b must equal 9
So the solution is that b = -1 or 9