Note that c is the hypotenuse of the blue triangle, and that the Pyth. Thm. states that (length of one leg)^2 + (length of the other leg)^2 = (hyp)^2.
Therefore, (hyp)^2 = c^2 = [2sqrt(x^2+3x)]^2 + 3^2, or
= 4(x^2+3x) + 9, or
= 4x^2 + 12x + 9 = (2x+3)^2
Taking the sqrt of both sides, c = plus or minus (2x+3). Eliminate -(2x+3) because the middle term of the square of this would be negative, in conflict with the given +12x.
c=2x+3 is the correct answer.
If it takes that long to make one pair, then i’d say maybe 468 hours to make all 36 pairs
Answer:
38 cents
Step-by-step explanation:
quarter= 25
nickles= 5
pennies= 1
5+5+25+3= 38
He paid ...
-- The cost of the lunches (100% = 1.00 of it)
-- 15% of the cost as a tip (15% = 0.15 of it)
-- 12% of the cost as sales tax (12% = 0.12 of it)
Total that he paid = (1.00 + 0.15 + 0.12) = 1.27 of $248.40
= $315.47 .
Trevor is one generous guy !
