| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
For this diagram, the Pythagorean theorem states that b2 = ?
c - a |
|
a2 - c2 |
|
c2 + a2 |
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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, \(c = \sqrt{a + b}\)
The dimensions of this cube are height (h) = 8, length (l) = 9, and width (w) = 5. What is the volume?
| 56 | |
| 18 | |
| 320 | |
| 360 |
The volume of a cube is height x length x width:
v = h x l x w
v = 8 x 9 x 5
v = 360
On this circle, a line segment connecting point A to point D is called:
circumference |
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radius |
|
diameter |
|
chord |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).
If the base of this triangle is 7 and the height is 4, what is the area?
| 49\(\frac{1}{2}\) | |
| 30 | |
| 14 | |
| 90 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 7 x 4 = \( \frac{28}{2} \) = 14
What is 7a - 9a?
| -2a | |
| 16 | |
| 16a2 | |
| -2 |
To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.
7a - 9a = -2a