| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
If a = c = 9, b = d = 7, and the blue angle = 51°, what is the area of this parallelogram?
| 30 | |
| 20 | |
| 63 | |
| 7 |
The area of a parallelogram is equal to its length x width:
a = l x w
a = a x b
a = 9 x 7
a = 63
If BD = 3 and AD = 11, AB = ?
| 16 | |
| 8 | |
| 10 | |
| 20 |
The entire length of this line is represented by AD which is AB + BD:
AD = AB + BD
Solving for AB:AB = AD - BDOn this circle, a line segment connecting point A to point D is called:
diameter |
|
circumference |
|
chord |
|
radius |
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).
The dimensions of this cylinder are height (h) = 1 and radius (r) = 5. What is the volume?
| 486π | |
| 4π | |
| 25π | |
| 27π |
The volume of a cylinder is πr2h:
v = πr2h
v = π(52 x 1)
v = 25π
If the area of this square is 4, what is the length of one of the diagonals?
| 4\( \sqrt{2} \) | |
| 9\( \sqrt{2} \) | |
| 2\( \sqrt{2} \) | |
| 6\( \sqrt{2} \) |
To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:
a = s2
so the length of one side of the square is:
s = \( \sqrt{a} \) = \( \sqrt{4} \) = 2
The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:
c2 = a2 + b2
c2 = 22 + 22
c2 = 8
c = \( \sqrt{8} \) = \( \sqrt{4 x 2} \) = \( \sqrt{4} \) \( \sqrt{2} \)
c = 2\( \sqrt{2} \)