| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.38 |
| Score | 0% | 68% |
The dimensions of this cylinder are height (h) = 2 and radius (r) = 2. What is the surface area?
| 168π | |
| 36π | |
| 60π | |
| 16π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(22) + 2π(2 x 2)
sa = 2π(4) + 2π(4)
sa = (2 x 4)π + (2 x 4)π
sa = 8π + 8π
sa = 16π
Solve for z:
-7z + 6 = 4 + 9z
| \(\frac{1}{7}\) | |
| 1 | |
| \(\frac{1}{8}\) | |
| 5 |
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 equal sign and the answer on the other.
-7z + 6 = 4 + 9z
-7z = 4 + 9z - 6
-7z - 9z = 4 - 6
-16z = -2
z = \( \frac{-2}{-16} \)
z = \(\frac{1}{8}\)
The dimensions of this trapezoid are a = 5, b = 7, c = 7, d = 4, and h = 3. What is the area?
| 14 | |
| 16\(\frac{1}{2}\) | |
| 27 | |
| 18 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(7 + 4)(3)
a = ½(11)(3)
a = ½(33) = \( \frac{33}{2} \)
a = 16\(\frac{1}{2}\)
A quadrilateral is a shape with __________ sides.
3 |
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4 |
|
5 |
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2 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
If a = 8, b = 3, c = 3, and d = 8, what is the perimeter of this quadrilateral?
| 29 | |
| 22 | |
| 26 | |
| 18 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 8 + 3 + 3 + 8
p = 22