| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.28 |
| Score | 0% | 66% |
If a = c = 6, b = d = 2, what is the area of this rectangle?
| 2 | |
| 12 | |
| 30 | |
| 9 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 6 x 2
a = 12
The dimensions of this cylinder are height (h) = 5 and radius (r) = 1. What is the volume?
| 5π | |
| 20π | |
| 6π | |
| 144π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(12 x 5)
v = 5π
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
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c - a |
|
c2 - a2 |
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a2 - c2 |
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, \(c = \sqrt{a + b}\)
Solve for z:
z2 - 4z - 5 = -3z - 3
| 2 or -3 | |
| 8 or 4 | |
| 3 or -5 | |
| -1 or 2 |
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:
z2 - 4z - 5 = -3z - 3
z2 - 4z - 5 + 3 = -3z
z2 - 4z + 3z - 2 = 0
z2 - z - 2 = 0
Next, factor the quadratic equation:
z2 - z - 2 = 0
(z + 1)(z - 2) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z + 1) or (z - 2) must equal zero:
If (z + 1) = 0, z must equal -1
If (z - 2) = 0, z must equal 2
So the solution is that z = -1 or 2
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.