| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.03 |
| Score | 0% | 61% |
The dimensions of this cylinder are height (h) = 9 and radius (r) = 1. What is the surface area?
| 20π | |
| 234π | |
| 198π | |
| 36π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(12) + 2π(1 x 9)
sa = 2π(1) + 2π(9)
sa = (2 x 1)π + (2 x 9)π
sa = 2π + 18π
sa = 20π
What is the circumference of a circle with a diameter of 9?
| 9π | |
| 2π | |
| 3π | |
| 8π |
The formula for circumference is circle diameter x π:
c = πd
c = 9π
A(n) __________ is to a parallelogram as a square is to a rectangle.
quadrilateral |
|
triangle |
|
rhombus |
|
trapezoid |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Solve for x:
x2 + 5x - 24 = 0
| 4 or -6 | |
| 3 or -8 | |
| 8 or 8 | |
| 3 or -6 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 5x - 24 = 0
(x - 3)(x + 8) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 3) or (x + 8) must equal zero:
If (x - 3) = 0, x must equal 3
If (x + 8) = 0, x must equal -8
So the solution is that x = 3 or -8
Order the following types of angle from least number of degrees to most number of degrees.
acute, right, obtuse |
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acute, obtuse, right |
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right, acute, obtuse |
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right, obtuse, acute |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.