Answer:
Step-by-step explanation:
The golden ratio is a special number favored by the Greeks. Its ratio roughly equals 1.618. The ratio is formed by taking a line segment and dividing it into two parts labeled a and b. The golden ratio is formed when this proportion is true .
When you add a and b then divide by a, it will be the same as a divided by b. This will hold true only for specific lengths of a and b. This means you must divide the line segment in such a way that a and b meet this requirement.
Example:
If the line segment is 50 cm long. Split the segment into parts a and b where a = 30.9 and b = 19.1. Substitute the values into the proportion .
1.618 = 1.618
This is the golden ratio.
Solution
The counselor has 12 electives courses (e.g. art, band, PE, etc.) to choose from and must select 2 ordered classes for each 6th grade student.
Let S be the sample space.
Then, n(S) = 12C2 = (12 x 11) ÷ (2 x 1 ) = 132 ÷ 2 = 66
Sixty six (66) ways can the counselor arrange the last 2 periods of the day for the 6th grade students
Answer:
67.014
Step-by-step explanation:
V = π r^2 (h/3)
(Volume equals pi r squared, h over 3)
Diameter is 4, so the radius is half of that = 2
Plug in the numbers
V = π (2^2) (16/3)
V = π (4) (5.333)
V = 3.14 x 4 = 12.566
V = 12.566 x 5.333
V = 67.014
You'd need to start by finding what 40% of 280 is. To do this, you turn 40% into a decimal which is .40 . Multiply .40 x 280 which is 112. Then subtract that answer from 280 which is 168 baseball cards. Hope this helped :)
