| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 2.94 |
| Score | 0% | 59% |
If a = c = 7, b = d = 4, what is the area of this rectangle?
| 27 | |
| 4 | |
| 28 | |
| 54 |
The area of a rectangle is equal to its length x width:
a = l x w
a = a x b
a = 7 x 4
a = 28
The formula for the area of a circle is which of the following?
c = π d2 |
|
c = π r |
|
c = π r2 |
|
c = π d |
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.
What is the circumference of a circle with a radius of 1?
| 14π | |
| 6π | |
| 2π | |
| 10π |
The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:
c = πd
c = π(2 * r)
c = π(2 * 1)
c = 2π
Solve for b:
-5b + 9 = -7 - 6b
| -16 | |
| -1\(\frac{4}{5}\) | |
| -8 | |
| \(\frac{5}{7}\) |
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.
-5b + 9 = -7 - 6b
-5b = -7 - 6b - 9
-5b + 6b = -7 - 9
b = -16
If side a = 4, side b = 5, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{41} \) | |
| 5 | |
| \( \sqrt{52} \) | |
| \( \sqrt{97} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 42 + 52
c2 = 16 + 25
c2 = 41
c = \( \sqrt{41} \)