| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.23 |
| Score | 0% | 65% |
The dimensions of this cylinder are height (h) = 4 and radius (r) = 7. What is the volume?
| 320π | |
| 196π | |
| 45π | |
| 384π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 4)
v = 196π
What is the area of a circle with a radius of 2?
| 3π | |
| 4π | |
| 36π | |
| 6π |
The formula for area is πr2:
a = πr2
a = π(22)
a = 4π
If the area of this square is 49, what is the length of one of the diagonals?
| 2\( \sqrt{2} \) | |
| 7\( \sqrt{2} \) | |
| 4\( \sqrt{2} \) | |
| \( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{49} \) = 7
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 72 + 72
c2 = 98
c = \( \sqrt{98} \) = \( \sqrt{49 x 2} \) = \( \sqrt{49} \) \( \sqrt{2} \)
c = 7\( \sqrt{2} \)
A(n) __________ is two expressions separated by an equal sign.
problem |
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expression |
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formula |
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equation |
An equation is two expressions separated by an equal sign. The key to solving equations is to 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.
If the length of AB equals the length of BD, point B __________ this line segment.
bisects |
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intersects |
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midpoints |
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trisects |
A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.