Cosine(angle) = adjacent leg/ hypotenuse
Cosine( angle ) = 18/20
Angle = arccos(18/20)
Angle = 26 degrees
5 1/2 * 3 1/4
1 + 5 . 2/2 * 1 + 3 . 4/4 = 11/2 * 13/4 = 11 . 13/2 . 4 = 143/8 = 7 + 17 . 8/8 = 17 7/8
= 17 . 875
Detailed explanation of solution:
5 1/2 * 3 1/4
Transform the first mix number to improper fraction:
5 1/2 = 1 + 5 . 2/2 = 11/2
Transform the second mix number to improper fraction:
3 1/4 = 1 + 3. 4/4 = 13/4
Multiplying two fractions:
11/2 * 13/4 = 11 . 13/2 . 4 = 143/8
Since the numerator is greater than the denominator, We convert the improper fraction to mix fraction:
143/8 = 7 + 17.8/8
= 17 7/8 (Decimal: 17. 875)
Hope that helps!!!!!! ( Answer: 17 7/8, (Decimal: 17.875)
