| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
|
π r2h |
|
4π r2 |
|
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 - 11b + 36 = b + 1
| 8 or -9 | |
| 5 or 7 | |
| 7 or -1 | |
| -3 or -9 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
b2 - 11b + 36 = b + 1
b2 - 11b + 36 - 1 = b
b2 - 11b - b + 35 = 0
b2 - 12b + 35 = 0
Next, factor the quadratic equation:
b2 - 12b + 35 = 0
(b - 5)(b - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (b - 5) or (b - 7) must equal zero:
If (b - 5) = 0, b must equal 5
If (b - 7) = 0, b must equal 7
So the solution is that b = 5 or 7
For this diagram, the Pythagorean theorem states that b2 = ?
a2 - c2 |
|
c2 + a2 |
|
c - a |
|
c2 - a2 |
The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)
If a = 1, b = 5, c = 9, and d = 5, what is the perimeter of this quadrilateral?
| 16 | |
| 27 | |
| 20 | |
| 13 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 1 + 5 + 9 + 5
p = 20
Which of the following is not a part of PEMDAS, the acronym for math order of operations?
division |
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addition |
|
pairs |
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exponents |
When solving an equation with two variables, 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.)