| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.88 |
| Score | 0% | 58% |
For this diagram, the Pythagorean theorem states that b2 = ?
c2 - a2 |
|
a2 - c2 |
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c2 + a2 |
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c - a |
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, \(c = \sqrt{a + b}\)
The dimensions of this cylinder are height (h) = 8 and radius (r) = 9. What is the volume?
| 392π | |
| 441π | |
| 648π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(92 x 8)
v = 648π
A(n) __________ is to a parallelogram as a square is to a rectangle.
rhombus |
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trapezoid |
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triangle |
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quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
What is the area of a circle with a diameter of 4?
| 7π | |
| 4π | |
| 16π | |
| 25π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{4}{2} \)
r = 2
a = πr2
a = π(22)
a = 4π
If the base of this triangle is 6 and the height is 5, what is the area?
| 27 | |
| 55 | |
| 42 | |
| 15 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 6 x 5 = \( \frac{30}{2} \) = 15