A piggy bank contains 20 pennies, 18 nickels, 25 dimes, and 12 quarters. A coin is chosen, it is not replaced and another is cho
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In solving this problem we can consider Earth to be a sphere. When we have a circle, then we can use this formula to find arc length:
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles
Where:
L= arc length (in this problem it is disance we need to travel)
R = radius of circle (in this problem it is equal to a radius of Earth)
C = angle we need to pass
We are told that two cities lie halfway around the world. If we fly to west this means angle is 180°.
This gives an arc length of:
If we want to fly to north we need to go to 90° northern latidtude and then back to 17° latitude. This means angle is:
C=2*(90-17)=2*73°=146°
This gives an arc length of:
We can see that flying north is shorter. It is shorter by:
12440.71 miles - 10090.8 miles = 2349.91 miles
We have been given that in 1983, the per capita consumption was 39.7 pounds, and in 1989 it was 47 pounds.
Let us assume t=0 corresponds to year 1980.
Hence, we can express the given information as ordered pairs as (3,39.7) and (9,47).
We can to find a linear function passing through these points. Let us first find slope of the linear function:
We can write the required linear function as:
Upon simplifying this, we get:
In order to find per capita consumption in 1995, we need to substitute t=15 in this function.
Therefore, we would expect the per capita consumption of chicken in 1995 to be 54.3.