| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.19 |
| Score | 0% | 64% |
A cylinder with a radius (r) and a height (h) has a surface area of:
4π r2 |
|
π r2h |
|
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.
If the base of this triangle is 4 and the height is 7, what is the area?
| 49\(\frac{1}{2}\) | |
| 56 | |
| 42 | |
| 14 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 4 x 7 = \( \frac{28}{2} \) = 14
What is 4a + 2a?
| 8a2 | |
| 8a | |
| 6a | |
| 6 |
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.
4a + 2a = 6a
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
acute, right, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
Solve for z:
z2 + z - 32 = z + 4
| 8 or -3 | |
| -5 or -9 | |
| 6 or 2 | |
| 6 or -6 |
The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:
z2 + z - 32 = z + 4
z2 + z - 32 - 4 = z
z2 + z - z - 36 = 0
z2 - 36 = 0
Next, factor the quadratic equation:
z2 - 36 = 0
(z - 6)(z + 6) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 6) or (z + 6) must equal zero:
If (z - 6) = 0, z must equal 6
If (z + 6) = 0, z must equal -6
So the solution is that z = 6 or -6