| Your Results | Global Average | |
|---|---|---|
| Questions | 5 | 5 |
| Correct | 0 | 3.17 |
| Score | 0% | 63% |
A quadrilateral is a shape with __________ sides.
2 |
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3 |
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4 |
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5 |
A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.
The formula for the area of a circle is which of the following?
a = π r2 |
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a = π d2 |
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a = π r |
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a = π d |
The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.
Find the value of a:
5a + y = -5
-5a + 9y = -9
| -\(\frac{18}{25}\) | |
| \(\frac{2}{3}\) | |
| -2\(\frac{3}{4}\) | |
| -3\(\frac{2}{9}\) |
You need to find the value of a so solve the first equation in terms of y:
5a + y = -5
y = -5 - 5a
then substitute the result (-5 - 5a) into the second equation:
-5a + 9(-5 - 5a) = -9
-5a + (9 x -5) + (9 x -5a) = -9
-5a - 45 - 45a = -9
-5a - 45a = -9 + 45
-50a = 36
a = \( \frac{36}{-50} \)
a = -\(\frac{18}{25}\)
A cylinder with a radius (r) and a height (h) has a surface area of:
2(π r2) + 2π rh |
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π r2h2 |
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4π r2 |
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π r2h |
A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.
The dimensions of this trapezoid are a = 4, b = 4, c = 6, d = 9, and h = 3. What is the area?
| 20 | |
| 19\(\frac{1}{2}\) | |
| 30 | |
| 6 |
The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:
a = ½(b + d)(h)
a = ½(4 + 9)(3)
a = ½(13)(3)
a = ½(39) = \( \frac{39}{2} \)
a = 19\(\frac{1}{2}\)