| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
What is the area of a circle with a radius of 4?
| 4π | |
| 16π | |
| 6π | |
| 49π |
The formula for area is πr2:
a = πr2
a = π(42)
a = 16π
A trapezoid is a quadrilateral with one set of __________ sides.
equal angle |
|
equal length |
|
parallel |
|
right angle |
A trapezoid is a quadrilateral with one set of parallel sides.
Solve for a:
-5a - 6 < \( \frac{a}{7} \)
| a < \(\frac{63}{64}\) | |
| a < \(\frac{5}{22}\) | |
| a < 1\(\frac{26}{37}\) | |
| a < -1\(\frac{1}{6}\) |
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 < sign and the answer on the other.
-5a - 6 < \( \frac{a}{7} \)
7 x (-5a - 6) < a
(7 x -5a) + (7 x -6) < a
-35a - 42 < a
-35a - 42 - a < 0
-35a - a < 42
-36a < 42
a < \( \frac{42}{-36} \)
a < -1\(\frac{1}{6}\)
If side a = 8, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{52} \) | |
| \( \sqrt{73} \) | |
| \( \sqrt{65} \) | |
| \( \sqrt{53} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 82 + 32
c2 = 64 + 9
c2 = 73
c = \( \sqrt{73} \)
On this circle, line segment AB is the:
diameter |
|
chord |
|
radius |
|
circumference |
A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).