| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.83 |
| Score | 0% | 57% |
The dimensions of this cylinder are height (h) = 7 and radius (r) = 3. What is the volume?
| 63π | |
| 1π | |
| 3π | |
| 50π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 7)
v = 63π
The formula for the area of a circle is which of the following?
a = π r |
|
a = π r2 |
|
a = π d |
|
a = π d2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Solve for x:
x2 + 17x + 72 = 0
| 1 or -3 | |
| 9 or 2 | |
| 4 or -7 | |
| -8 or -9 |
The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:
x2 + 17x + 72 = 0
(x + 8)(x + 9) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 8) or (x + 9) must equal zero:
If (x + 8) = 0, x must equal -8
If (x + 9) = 0, x must equal -9
So the solution is that x = -8 or -9
The formula for the area of a circle is which of the following?
c = π d |
|
c = π d2 |
|
c = π r |
|
c = π r2 |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{85} \) | |
| \( \sqrt{145} \) | |
| \( \sqrt{72} \) | |
| \( \sqrt{10} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)