| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.31 |
| Score | 0% | 66% |
What is the circumference of a circle with a diameter of 12?
| 12π | |
| 16π | |
| 2π | |
| 11π |
The formula for circumference is circle diameter x π:
c = πd
c = 12π
Find the value of a:
-2a + z = -7
a + 8z = 4
| -\(\frac{17}{20}\) | |
| 3\(\frac{9}{17}\) | |
| -\(\frac{6}{19}\) | |
| -2\(\frac{1}{2}\) |
You need to find the value of a so solve the first equation in terms of z:
-2a + z = -7
z = -7 + 2a
then substitute the result (-7 - -2a) into the second equation:
a + 8(-7 + 2a) = 4
a + (8 x -7) + (8 x 2a) = 4
a - 56 + 16a = 4
a + 16a = 4 + 56
17a = 60
a = \( \frac{60}{17} \)
a = 3\(\frac{9}{17}\)
Which of the following is not true about both rectangles and squares?
the area is length x width |
|
the lengths of all sides are equal |
|
the perimeter is the sum of the lengths of all four sides |
|
all interior angles are right angles |
A rectangle is a parallelogram containing four right angles. Opposite sides (a = c, b = d) are equal and the perimeter is the sum of the lengths of all sides (a + b + c + d) or, comonly, 2 x length x width. The area of a rectangle is length x width. A square is a rectangle with four equal length sides. The perimeter of a square is 4 x length of one side (4s) and the area is the length of one side squared (s2).
Order the following types of angle from least number of degrees to most number of degrees.
right, obtuse, acute |
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right, acute, obtuse |
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acute, right, obtuse |
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acute, obtuse, right |
An acute angle measures less than 90°, a right angle measures 90°, and an obtuse angle measures more than 90°.
If a = c = 7, b = d = 4, what is the area of this rectangle?
| 9 | |
| 28 | |
| 10 | |
| 6 |
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