| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
A quadrilateral is a shape with __________ sides.
4 |
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3 |
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2 |
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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.
Solve for y:
3y - 2 = \( \frac{y}{2} \)
| -\(\frac{6}{13}\) | |
| \(\frac{14}{19}\) | |
| -2\(\frac{11}{26}\) | |
| \(\frac{4}{5}\) |
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.
3y - 2 = \( \frac{y}{2} \)
2 x (3y - 2) = y
(2 x 3y) + (2 x -2) = y
6y - 4 = y
6y - 4 - y = 0
6y - y = 4
5y = 4
y = \( \frac{4}{5} \)
y = \(\frac{4}{5}\)
The dimensions of this cylinder are height (h) = 9 and radius (r) = 7. What is the surface area?
| 12π | |
| 224π | |
| 140π | |
| 40π |
The surface area of a cylinder is 2πr2 + 2πrh:
sa = 2πr2 + 2πrh
sa = 2π(72) + 2π(7 x 9)
sa = 2π(49) + 2π(63)
sa = (2 x 49)π + (2 x 63)π
sa = 98π + 126π
sa = 224π
The dimensions of this cylinder are height (h) = 6 and radius (r) = 6. What is the volume?
| 162π | |
| 216π | |
| 32π | |
| 112π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(62 x 6)
v = 216π
What is the circumference of a circle with a radius of 7?
| 14π | |
| 4π | |
| 8π | |
| 16π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 7)
c = 14π