| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.07 |
| Score | 0% | 61% |
A(n) __________ is to a parallelogram as a square is to a rectangle.
trapezoid |
|
triangle |
|
rhombus |
|
quadrilateral |
A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.
Simplify 5a x 8b.
| 40ab | |
| 40\( \frac{b}{a} \) | |
| 40\( \frac{a}{b} \) | |
| 40a2b2 |
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.
5a x 8b = (5 x 8) (a x b) = 40ab
If a = c = 8, b = d = 7, and the blue angle = 73°, what is the area of this parallelogram?
| 24 | |
| 30 | |
| 56 | |
| 4 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 8 x 7
a = 56
The dimensions of this cylinder are height (h) = 6 and radius (r) = 4. What is the volume?
| 96π | |
| 16π | |
| 162π | |
| 128π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 6)
v = 96π
Find the value of b:
4b + x = -6
-6b - 6x = 8
| 3\(\frac{1}{6}\) | |
| \(\frac{16}{33}\) | |
| 1\(\frac{1}{29}\) | |
| -1\(\frac{5}{9}\) |
You need to find the value of b so solve the first equation in terms of x:
4b + x = -6
x = -6 - 4b
then substitute the result (-6 - 4b) into the second equation:
-6b - 6(-6 - 4b) = 8
-6b + (-6 x -6) + (-6 x -4b) = 8
-6b + 36 + 24b = 8
-6b + 24b = 8 - 36
18b = -28
b = \( \frac{-28}{18} \)
b = -1\(\frac{5}{9}\)