| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.77 |
| Score | 0% | 55% |
Solve 6b - 8b = -5b + 5z - 4 for b in terms of z.
| 1\(\frac{2}{11}\)z - \(\frac{4}{11}\) | |
| -\(\frac{1}{3}\)z + 1 | |
| -\(\frac{1}{3}\)z + \(\frac{8}{9}\) | |
| -\(\frac{1}{2}\)z - \(\frac{1}{2}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
6b - 8z = -5b + 5z - 4
6b = -5b + 5z - 4 + 8z
6b + 5b = 5z - 4 + 8z
11b = 13z - 4
b = \( \frac{13z - 4}{11} \)
b = \( \frac{13z}{11} \) + \( \frac{-4}{11} \)
b = 1\(\frac{2}{11}\)z - \(\frac{4}{11}\)
The dimensions of this cylinder are height (h) = 5 and radius (r) = 7. What is the volume?
| 384π | |
| 144π | |
| 200π | |
| 245π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(72 x 5)
v = 245π
The dimensions of this trapezoid are a = 6, b = 6, c = 7, d = 5, and h = 4. What is the area?
| 36 | |
| 22 | |
| 22\(\frac{1}{2}\) | |
| 17 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(6 + 5)(4)
a = ½(11)(4)
a = ½(44) = \( \frac{44}{2} \)
a = 22
Order the following types of angle from least number of degrees to most number of degrees.
acute, obtuse, right |
|
right, obtuse, acute |
|
acute, right, obtuse |
|
right, acute, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h2 |
|
2(π r2) + 2π rh |
|
π r2h |
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.