Advertisements
Advertisements
प्रश्न
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°?
उत्तर
- Number of sticks = 8
The angle between each pair of consecutive spokes = `360/8`
= 45° - Number of sticks = 10
The angle between each pair of consecutive spokes = `360/10`
= 36° - Number of sticks = 12 The angle between each pair of consecutive spokes is `360/12`
= 30°
| Number of spokes | 4 | 6 | 8 | 10 | 12 |
| Angle between a pair of consecutive spokes |
90° | 60° | 45° | 36° | 30° |
According to the question:
- Yes, the number of spokes and the angle between any pair of consecutive spokes are inversely proportional.
- Number of sticks = 15
Angle between each pair of consecutive spokes = `360/15`
= 24° - Given angle between each pair of consecutive spokes = 40°
number of sticks required will be = `360/40`
= 9
Hence, number of sticks required = 9
APPEARS IN
संबंधित प्रश्न
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 | ... | ... | ... | ... | ... |
A batch of bottles was packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
It x and y vary inversely, fill in the following blank:
| x | 9 | ... | 81 | 243 |
| y | 27 | 9 | ... | 1 |
If x and y vary inversely as other and x = 3 when y = 8, find y when x = 4 .
If x and y vary inversely as other and x = 5 when y = 15, find x when y = 12 .
It takes 60 days for 10 machines to dig a hole. Assuming that all machines work at the same speed, how long will it take 30 machines to dig the same hole?
x varies inversely as twice of y. Given that when y = 6, the value of x is 4. Find the value of x when y = 8
If one angle of a triangle is kept fixed then the measure of the remaining two angles vary inversely with each other.
If x varies inversely as y and when x = 6, y = 8, then for x = 8 the value of y is 10.
Write whether the following statement vary directly, vary inversely with each other, or neither of the two.
The time taken by a train to cover a fixed distance and the speed of the train.
