Answer:
9.271 inches.
Step-by-step explanation:
Let AC be the length of original line segment and point B divides it into two segments such that AB is longer and BC is smaller segment.
We can describe the golden ratio as:
We can verify our answer as:
Hence proved.
Therefore, the length of the longer side would be 9.271 inches.
Answer:
10 units
Step-by-step explanation:
Given that:
Cos a = 3 /5
From trigonometry ;
Cos θ = Adjacent / hypotenus
Side Adjacent angle a = 3 = FD
Hypotenus = 5 = DE
3 / 5 = FD / DE
FD = 6 units
3/5 = 6/DE
DE * 3/5 = 6
DE = 6 ÷ 3/5
DE = 6 * 5 /3
DE = 30 /3
DE = 10 units
Answer:
Jaw saw an average of 6 birds each day
Step-by-step explanation:
Given: One day, Jean saw 7 birds. The next day, she saw 11 birds. The next day, she saw no birds.
To find: average number of birds Jean saw each day
Solution:
Average is a central value of a set of terms.
Average of terms is given by
Number of birds, Jean saw on day one = 7
Number of birds, Jean saw on the second one = 7
Number of birds, Jean saw on the third one = 7
So,
average number of birds Jean saw each day =
Therefore,
Jaw saw an average of 6 birds each day