Question
Define the following terms:
Line segment.
Line segment.
✓
Answer
Line segment: A line segment is a part of line that is bounded by two distinct end-points. A line segment has a fixed length.
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The mean of the markes scored by 50 students was found to be 39. Later on it was discoverd that a score of 43 was misread as 23. Find the correct mean.
Find the value to three place of decimals of each of the following. It is given that $\sqrt2=1.414,\ \sqrt3=1.732,\ \sqrt5=2.236,\ \sqrt10=3.162.$
$\frac{\sqrt{2}-1}{\sqrt5}$
→$\frac{\sqrt{2}-1}{\sqrt5}$
Find the total surface area of a cone, if its slant height is 21m and diameter of its base is 24m. $\Big(\text{Use}\ \pi=\frac{22}{7}\Big).$
→Simplify:
$\big(3-\sqrt{11}\big)\big(3+\sqrt{11}\big)$
→$\big(3-\sqrt{11}\big)\big(3+\sqrt{11}\big)$
Simplify:
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→$\Big(\frac{32}{243}\Big)^{-\frac{4}{5}}$
The volume of a cuboid is 1536m3. Its length is 16m, and its breadth and height are in the ratio 3 : 2. Find the breadth and height of the cuboid.
Simplify:
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→$\big(3-\sqrt{11}\big)\big(3+\sqrt{11}\big)$
Show that:
→$\Big(\frac{3^\text{a}}{2^{\text{b}}}\Big)^{\text{a}+\text{b}}\Big(\frac{3^\text{b}}{3^\text{c}}\Big)^{\text{b}+\text{c}}\Big(\frac{3^\text{c}}{3^\text{a}}\Big)^{\text{c}+\text{a}}=1$
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Rationalise the denominator of the following:
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