| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.16 |
| Score | 0% | 63% |
On this circle, line segment AB is the:
circumference |
|
radius |
|
chord |
|
diameter |
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).
Solve for a:
3a - 3 > -9 - 4a
| a > -1\(\frac{4}{5}\) | |
| a > 1 | |
| a > -\(\frac{6}{7}\) | |
| a > -2\(\frac{1}{3}\) |
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.
3a - 3 > -9 - 4a
3a > -9 - 4a + 3
3a + 4a > -9 + 3
7a > -6
a > \( \frac{-6}{7} \)
a > -\(\frac{6}{7}\)
If side a = 5, side b = 3, what is the length of the hypotenuse of this right triangle?
| \( \sqrt{26} \) | |
| \( \sqrt{106} \) | |
| \( \sqrt{29} \) | |
| \( \sqrt{34} \) |
According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:
c2 = a2 + b2
c2 = 52 + 32
c2 = 25 + 9
c2 = 34
c = \( \sqrt{34} \)
If the base of this triangle is 8 and the height is 2, what is the area?
| 49 | |
| 17\(\frac{1}{2}\) | |
| 32 | |
| 8 |
The area of a triangle is equal to ½ base x height:
a = ½bh
a = ½ x 8 x 2 = \( \frac{16}{2} \) = 8
What is the circumference of a circle with a diameter of 6?
| 6π | |
| 36π | |
| 12π | |
| 24π |
The formula for circumference is circle diameter x π:
c = πd
c = 6π