So it's actually 0.36363636... with the 36 repeating, right?
<span>Here's a technique for converting repeating decimals to fractions: </span>
<span>N = 0.3636363636... </span>
<span>100N = 36.36363636... </span>
<span>This means 100N - N = (36.363636...) - (0.36363636...). This simplifies to 99N = 36, because the "0.36363636..." parts of both numbers on the right cancel each other out. </span>
<span>Solving this for N gives </span>
<span>N = 36/99, or 4/11 </span>
<span>If you take a calculator (or use long division) and divide 4 by 11, you'll see that it's 0.36363636...</span>
Answer:
6
Step-by-step explanation:
Total number of subsets is given as
But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,
Comparing both sides
Answer:
11
Step-by-step explanation:
Those are alternate exterior angles. IF the lines A and B are parallel, then those angles are equal. Set them equal to each other and solve for x:
5x + 9 = 6x - 2
Combine like terms:
11 = x
Answer:
809 km²
Step-by-step explanation:
I can split this into 3 rectangles. One is 25 by 17, another is 24 by 13, and the last one is 6 by 12. (I had gotten 13 for the second rectangle because 25 - 12 = 13.)
(25 * 17) + (24 * 13) + (6 * 12) <em>{17 is the first number after a multiple of 4 (16). As a result, 25 by 17 will end in "25." 25 by 17 is 425.}</em>
425 + (24 * 13) + (6 * 12) <em>{24 by 13 is 312.}</em>
425 + 312 + (6 * 12) <em>{6 by 12 is 72.}</em>
425 + 312 + 72 <em>{From left to right, add 425, 312, and 72 to get 809}</em>
737 + 72
809 km²
The area of this figure is 809 km².
Answer:3x^2+8x-16
Step-by-step explanation:
