| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.02 |
| Score | 0% | 60% |
On this circle, line segment CD is the:
chord |
|
circumference |
|
radius |
|
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).
Find the value of b:
9b + y = -7
7b + 8y = -3
| \(\frac{35}{58}\) | |
| -\(\frac{6}{17}\) | |
| -4\(\frac{4}{17}\) | |
| -\(\frac{53}{65}\) |
You need to find the value of b so solve the first equation in terms of y:
9b + y = -7
y = -7 - 9b
then substitute the result (-7 - 9b) into the second equation:
7b + 8(-7 - 9b) = -3
7b + (8 x -7) + (8 x -9b) = -3
7b - 56 - 72b = -3
7b - 72b = -3 + 56
-65b = 53
b = \( \frac{53}{-65} \)
b = -\(\frac{53}{65}\)
Order the following types of angle from least number of degrees to most number of degrees.
right, acute, obtuse |
|
right, obtuse, acute |
|
acute, obtuse, right |
|
acute, right, obtuse |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
The dimensions of this cylinder are height (h) = 9 and radius (r) = 3. What is the volume?
| 196π | |
| 81π | |
| 108π | |
| 567π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(32 x 9)
v = 81π
If AD = 11 and BD = 3, AB = ?
| 19 | |
| 17 | |
| 1 | |
| 8 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BD