| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.87 |
| Score | 0% | 57% |
Solve for b:
7b + 7 > -6 - 4b
| b > 2\(\frac{1}{2}\) | |
| b > \(\frac{3}{7}\) | |
| b > -1\(\frac{2}{11}\) | |
| b > -2 |
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 > sign and the answer on the other.
7b + 7 > -6 - 4b
7b > -6 - 4b - 7
7b + 4b > -6 - 7
11b > -13
b > \( \frac{-13}{11} \)
b > -1\(\frac{2}{11}\)
If a = c = 1, b = d = 9, and the blue angle = 66°, what is the area of this parallelogram?
| 10 | |
| 35 | |
| 9 | |
| 2 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 1 x 9
a = 9
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
2(π r2) + 2π rh |
|
π r2h |
|
π r2h2 |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
If side a = 9, side b = 6, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{90} \) | |
| \( \sqrt{8} \) | |
| 10 | |
| \( \sqrt{117} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 62
c2 = 81 + 36
c2 = 117
c = \( \sqrt{117} \)
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
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triangle |
|
quadrilateral |
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rhombus |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.