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°?
Advertisements
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 | ... | ... | ... | ... | ... |
If a box of sweets is divided among 24 children, they will get 5 sweets each. How many would each get, if the number of the children is reduced by 4?
In a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls join the hostel, how long will these provisions last?
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?
Meena had enough money to send 8 parcels each weighing 500 grams through a courier service. What would be the weight of each parcel, if she has to send 40 parcels for the same money?
10 farmers can plough a field in 21 days. Find the number of days reduced if 14 farmers ploughed the same field?
Two quantities are said to vary ______ with each other if an increase in one causes a decrease in the other in such a manner that the product of their corresponding values remains constant.
If on increasing a, b decreases in such a manner that ______ remains ______ and positive, then a and b are said to vary inversely with each other.
If d varies directly as t2, then we can write dt2 = k, where k is some constant.
A contractor undertook a contract to complete a part of a stadium in 9 months with a team of 560 persons. Later on, it was required to complete the job in 5 months. How many extra persons should he employ to complete the work?
