1/3 of 12. This is because if you divide 12 by three, then you get a greater number than when you divide 12 by four.
(1+x^2)^8
=(1+8x^2+8*7/(1*2)x^4+8*7*6/(1*2*3)x^6+8*7*6*5/(1*2*3*4)x^8+....)
=1+8x^2+28x^4+56x^6+70x^8+....)
For x<1, higher power terms diminish in value, hence we can approximate powers of numbers.
1.01=(1+0.1^2) => x=0.1 in the above expansion
(1.01)^8
=1+8(0.1^2)+28(0.1^4)+56(0.1^6) [ limited to four terms, as requested]
=1+0.08+0.0028+0.000056 (+0.00000070)
=1.082856 (approximately)
Answer:

Explanation:
In a right triangle the angle between the hypotenuse and the adjacent leg to the angle are related by the trigonometric ratio cosine.
Cosine is the ratio of the adjacent leg to the hypotenuse:
In the right triangle ART, AT is the hypotenuse, AR is the ajacent leg to the angle 66º, and RT is the opposite leg to the angle 66º.
Then, the length of AT and 12.5 is related by the cosine ratio:

Multiplying both sides of the equation by 12.5in:
← answer
No she cannot, the fabric is not long enough.
There are 6! possible permutations of the blue books, 2 possible permutations of the red books, 4! possible permutations of the green books and 3! possible permutations of the three color groups. therefore the total number of ways of arranging the books is given by: