A varies inversely as the square of b. If a is 1 when b is 4, find a when b is 4. with solution
1 answer:
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Answer:
Aliyah will take a total of 4274 steps.
Step-by-step explanation:
Given:
Number of steps from home to store = 1317 steps
Number of steps from store to park = 561 steps
Number of steps from park to friends house = 259 steps
So now we will find the Total number of steps from home to friends house.
Total number of steps from home to friends house can be calculated by adding Number of steps from home to store and Number of steps from store to park and Number of steps from park to friends house.
framing in equation form we get;
Total number of steps from home to friends house =
Is same route is followed to home we can say that;
Total number of steps from friends house to home = 2137 steps.
So Total number of steps she will take next day will be equal to Total number of steps from home to friends house plus Total number of steps from friends house to home.
framing in equation form we get;
Total number of steps she will take next day = 2137 +2137 = 4274 steps
Hence Aliyah will take a total of 4274 steps.
Draw a diagram to illustrate the problem as shown below.
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations
When the smaller gear rotates through a revolution, it sweeps an arc length of
2π(4) = 8π inches.
Part 1
The same arc length is swept by the larger gear. The central angle of the larger gear, x, is
7x = 8π
x = (8π)/7 radians = (8π)/7 * (180/π) = 205.7°
Answer: 205.7° (nearest tenth)
Part 2
When the larger gear makes one rotation, it sweeps an arc length of
2π(7) = 14π inches.
If the central angle for the smaller gear is y radians, then
4y = 14π
y = 3.5π radians = (3.5π)/2π revolutions = 1.75 revolutions
Answer:
The smaller gear makes 1.75 rotations