| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.18 |
| Score | 0% | 64% |
The formula for the area of a circle is which of the following?
a = π r2 |
|
a = π d |
|
a = π r |
|
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.
If a = 9, b = 2, c = 5, and d = 7, what is the perimeter of this quadrilateral?
| 23 | |
| 17 | |
| 19 | |
| 21 |
Perimeter is equal to the sum of the four sides:
p = a + b + c + d
p = 9 + 2 + 5 + 7
p = 23
Solve for x:
x2 - 6x + 26 = 5x - 2
| 2 or -9 | |
| 4 or 7 | |
| -9 or -9 | |
| 8 or 7 |
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:
x2 - 6x + 26 = 5x - 2
x2 - 6x + 26 + 2 = 5x
x2 - 6x - 5x + 28 = 0
x2 - 11x + 28 = 0
Next, factor the quadratic equation:
x2 - 11x + 28 = 0
(x - 4)(x - 7) = 0
For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 4) or (x - 7) must equal zero:
If (x - 4) = 0, x must equal 4
If (x - 7) = 0, x must equal 7
So the solution is that x = 4 or 7
Solve 5b + 3b = -2b + 3z - 3 for b in terms of z.
| z - 6 | |
| -z + 2 | |
| z - \(\frac{3}{7}\) | |
| z + \(\frac{3}{16}\) |
To solve this equation, isolate the variable for which you are solving (b) on one side of the equation and put everything else on the other side.
5b + 3z = -2b + 3z - 3
5b = -2b + 3z - 3 - 3z
5b + 2b = 3z - 3 - 3z
7b = - 3
b = \( \frac{ - 3}{7} \)
b = \( \frac{}{7} \) + \( \frac{-3}{7} \)
b = z - \(\frac{3}{7}\)
If angle a = 49° and angle b = 56° what is the length of angle c?
| 80° | |
| 92° | |
| 98° | |
| 75° |
The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 49° - 56° = 75°