Please select a subject first
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Top surface of a raised platform is in the shape of a regular octagon as shown in the figure. Find the area of the octagonal surface.
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Evaluate.
`(1/2)^(-5)`
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Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
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Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
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Find the value of (3−1 + 4−1 + 5−1)0
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Find the value of `{((-2)/3)^(-2)}^2`
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Find the value of m for which 5m ÷5−3 = 55.
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Evaluate.
`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
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Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
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Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
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Simplify.
`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`
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Which of the following are in inverse proportion?
The number of workers on a job and the time to complete the job.
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Which of the following are in inverse proportion?
The time taken for a journey and the distance travelled in a uniform speed.
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Which of the following are in inverse proportion?
Area of cultivated land and the crop harvested
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Which of the following are in inverse proportion?
The time taken for a fixed journey and the speed of the vehicle.
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Which of the following are in inverse proportion?
The population of a country and the area of land per person.
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In a Television game show, the prize money of Rs 1,00,000 is to be divided equally amongst the winners. Complete the following table and find whether the prize money given to an individual winner is directly or inversely proportional to the number of winners?
| Number of winners | 1 | 2 | 4 | 5 | 8 | 10 | 20 |
| Prize for each winner (in Rs) | 1,00,000 | 50,000 | ... | ... | ... | ... | ... |
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Rehman is making a wheel using spokes. He wants to fix equal spokes in such a way that the angles between any pair of consecutive spokes are equal. Help him by completing the following table:
| Number of spokes | 4 | 6 | 8 | 10 | 12 |
| Angle between a pair of consecutive spokes |
90° | 60° | ... | ... | ... |
- Are the number of spokes and the angles formed between the pairs of consecutive spokes in inverse proportion?
- Calculate the angle between a pair of consecutive spokes on a wheel with 15 spokes.
- How many spokes would be needed if the angle between a pair of consecutive spokes is 40°?
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