Explain why multiplying a quantity by a conversion factor does not change the quantity's value
1 answer:
A conversion factor can be more accurately described as a UNIT. A unit is something equivalent to 1. When we multiply something by 1, it doesn't change it's value, although it might change how it looks.
Example:
1 foot = 12 inches
Dividing both sides by 12 inches gives us this unit,
So when we multiply a quantity by (1foot)/(12inches),
we're really just multiplying that quantity by 1,
which doesn't change its value.
Example:
1 foot = 12 inches
Dividing both sides by 12 inches gives us this unit,
So when we multiply a quantity by (1foot)/(12inches),
we're really just multiplying that quantity by 1,
which doesn't change its value.
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Answer:
- 150π ft²
- 10π ft.
Step-by-step explanation:
Area of the sector :
Finding the area given r = 30 ft. and θ = 60° :
⇒ Area = π × (30)² × 60/360
⇒ Area = π × 900/6
⇒ Area = 150π ft²
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Length of the arc :
Finding the arc length given r = 30 ft. and θ = 60° :
⇒ Arc Length = 2 × π × 30 × 60/360
⇒ Arc Length = 60/6 × π
⇒ Arc Length = 10π ft.
Answer:
0.9%
Step-by-step explanation:
We have been given that Rich measured the height of a desk to be 80.7 cm. The actual height of the desk is 80 cm.
We will use percentage error formula to solve our given problem.
Therefore, Rich's percent error in calculation is 0.9%.