| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.06 |
| Score | 0% | 61% |
Which types of triangles will always have at least two sides of equal length?
equilateral and right |
|
isosceles and right |
|
equilateral, isosceles and right |
|
equilateral and isosceles |
An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.
What is the area of a circle with a diameter of 6?
| 9π | |
| 81π | |
| 2π | |
| 64π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
Simplify 4a x 3b.
| 12a2b2 | |
| 12ab | |
| 12\( \frac{b}{a} \) | |
| 12\( \frac{a}{b} \) |
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.
4a x 3b = (4 x 3) (a x b) = 12ab
The dimensions of this cylinder are height (h) = 4 and radius (r) = 4. What is the volume?
| 64π | |
| 16π | |
| 108π | |
| 7π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 4)
v = 64π
Solve -5c - 7c = 5c + 9x - 9 for c in terms of x.
| -1\(\frac{3}{5}\)x + \(\frac{9}{10}\) | |
| -\(\frac{8}{15}\)x + \(\frac{1}{3}\) | |
| x + 2 | |
| x + 1 |
To solve this equation, isolate the variable for which you are solving (c) on one side of the equation and put everything else on the other side.
-5c - 7x = 5c + 9x - 9
-5c = 5c + 9x - 9 + 7x
-5c - 5c = 9x - 9 + 7x
-10c = 16x - 9
c = \( \frac{16x - 9}{-10} \)
c = \( \frac{16x}{-10} \) + \( \frac{-9}{-10} \)
c = -1\(\frac{3}{5}\)x + \(\frac{9}{10}\)