Answer:
a^2 + b^2 = c^2 (pythagorean theorem)
a^2 + 40^2 = 41^2 (plug in the known values)
a^2 + 1,600 = 1681 (simplify what you can)
a^2 = 81 (subtracted 1600 from both sides)
a= (81 under a radical) (I think this is what your answer will be, based on the problem)
a=9 (what the fully simplified answer is)
6.5% tax on $65.49=0.065×65.49=$4.26 To the nearest cent, so add this to 65.49=$69.75.
Answer:
Christina has 30 quarters and 20 dimes.
Step-by-step explanation:
Given that a quarter is worth 0.25 dollars and a dime is worth 0.10 dollars, if Christina has 50 coins and these add up to a total of $ 9.50, to determine the number of quarters and dimes that she has in her possession, the following calculation must be carried out, taking into account that the difference between a quarter and a dime is 0.15 dollars:
50 x 0.25 = 12.5
12.5 - 9.5 = 3
Thus, the difference between the value that Christina has and the value that she would have if all of her coins were quarters is 3 dollars. Thus, since 0.15 x 20 equals 3, of the 50 coins Christina has, 30 are quarters and 20 are dimes.
This is confirmed through the following equation:
30 x 0.25 + 20 x 0.1 = X
7.5 + 2 = X
9.5 = X
(2,6) after a reflection in the x axis
(-2,-6) after a reflection in the y axis
Im going to say c because if you were to draw a straight line inbetween the dots the line would be possible
