| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.10 |
| Score | 0% | 62% |
If side x = 8cm, side y = 8cm, and side z = 6cm what is the perimeter of this triangle?
| 22cm | |
| 28cm | |
| 33cm | |
| 26cm |
The perimeter of a triangle is the sum of the lengths of its sides:
p = x + y + z
p = 8cm + 8cm + 6cm = 22cm
Which of the following is not true about both rectangles and squares?
the lengths of all sides are equal |
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the area is length x width |
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all interior angles are right angles |
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the perimeter is the sum of the lengths of all four sides |
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).
Solve for x:
-3x + 9 < \( \frac{x}{-8} \)
| x < -\(\frac{6}{37}\) | |
| x < 3\(\frac{3}{23}\) | |
| x < -1\(\frac{1}{39}\) | |
| x < -1\(\frac{1}{34}\) |
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.
-3x + 9 < \( \frac{x}{-8} \)
-8 x (-3x + 9) < x
(-8 x -3x) + (-8 x 9) < x
24x - 72 < x
24x - 72 - x < 0
24x - x < 72
23x < 72
x < \( \frac{72}{23} \)
x < 3\(\frac{3}{23}\)
What is the area of a circle with a diameter of 6?
| 9π | |
| 2π | |
| 25π | |
| 64π |
The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):
r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π
On this circle, line segment CD is the:
chord |
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circumference |
|
diameter |
|
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).