P(a ∪ b) = p(a) + p(b) - p(a ∩ b)
p(a ∩ b) = p(a) + p(b) - p(a ∪ b)
p(a ∩ b) = 1/3 + 2/5 - 3/5
p(a ∩ b) = 2/15
Answer:
∠ GDH = 67.5°
Step-by-step explanation:
The measure of the chord- chord angle GDH is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.
∠ GDH = (GH + EF) = (90 + 45)° = 0.5 × 135° = 67.5°
.1 repeating is expressed as the fraction (1/9). So we are dealing with 72+ (1/9). As a mixed number, it is just 72 (1/9). To get an improper fraction, first multiple 9 by 72 (denominator times whole number) This is 648. Finally, add 1 (numerator). 649 is the resulting numerator of the improper fraction, 9 being the denominator (keep it the same). Divide 649/9 and you get 72.1111111
In absolute terms, if we want to know much it it grew, we have to subtract the original height from the "after" height:
since the two fractions have different denominators, i have brought them to the same denominator
the problem is that the second fraction is bigger than the first! so i will "borrow" 1 whole from the number and change it into the fraction, so I can subtract:
and the answer is
inches!