| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.32 |
| Score | 0% | 66% |
For this diagram, the Pythagorean theorem states that b2 = ?
c2 + a2 |
|
a2 - c2 |
|
c - a |
|
c2 - a2 |
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, \(c = \sqrt{a + b}\)
A quadrilateral is a shape with __________ sides.
3 |
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2 |
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5 |
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4 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
Simplify (7a)(9ab) + (6a2)(9b).
| 240a2b | |
| 117a2b | |
| 240ab2 | |
| 9ab2 |
To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.
(7a)(9ab) + (6a2)(9b)
(7 x 9)(a x a x b) + (6 x 9)(a2 x b)
(63)(a1+1 x b) + (54)(a2b)
63a2b + 54a2b
117a2b
The dimensions of this cylinder are height (h) = 1 and radius (r) = 8. What is the volume?
| 256π | |
| 100π | |
| 441π | |
| 64π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(82 x 1)
v = 64π
The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?
2lw x 2wh + 2lh |
|
h2 x l2 x w2 |
|
lw x wh + lh |
|
h x l x w |
A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.