<span>34 12/27-19 5/6
</span>You may get common denominators.
12*2 = 24
27*2 = 54
5*9=45
6*9 = 54
34 24/54 - 19 45/54
Subtract 19.
15 24/54 - 45/54
14 33/54 = Answer.
The existence proof of the empty set is an absolute gem
Right triangle, Pythagorean Theorem:
c² = a² + b²
a=8, b=9
c² = 8² + 9² = 64 + 81 = 145
c = √145 inches
That's the exact answer but they want us to ruin it with an approximation.
c ≈ 12.041594578792296 inches
Answer: 12
As you increase the subintervals the area will be closer and closer to the real value. In other words your approximation gets better.
As you increase the intervals, there will be more rectanagles and the added area of these rectangles are converging towards the actual area under the curve.
