| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.13 |
| Score | 0% | 63% |
Solve for c:
c + 2 = -4 + 4c
| -1 | |
| -7 | |
| 3 | |
| 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 equal sign and the answer on the other.
c + 2 = -4 + 4c
c = -4 + 4c - 2
c - 4c = -4 - 2
-3c = -6
c = \( \frac{-6}{-3} \)
c = 2
If angle a = 36° and angle b = 21° what is the length of angle d?
| 158° | |
| 144° | |
| 124° | |
| 112° |
An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:
d° = b° + c°
To find angle c, remember that the sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 36° - 21° = 123°
So, d° = 21° + 123° = 144°
A shortcut to get this answer is to remember that angles around a line add up to 180°:
a° + d° = 180°
d° = 180° - a°
d° = 180° - 36° = 144°
A cylinder with a radius (r) and a height (h) has a surface area of:
π r2h |
|
4π r2 |
|
π r2h2 |
|
2(π r2) + 2π rh |
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.
What is 9a + 6a?
| 3 | |
| 54a2 | |
| a2 | |
| 15a |
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.
9a + 6a = 15a
The dimensions of this cylinder are height (h) = 2 and radius (r) = 4. What is the volume?
| 32π | |
| 200π | |
| 8π | |
| 81π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(42 x 2)
v = 32π