Answer:
23.41cm
Step-by-step explanation:
Using Pythagoras theorem
a²+b² = c²
Where a and b are sides of the triangle and c is the Hypotenuse.
If we substitute the values
B= 8 cm
A= 22 cm
22²+8² = c²
484 + 64= c²
√548 = c
C= 23.41
Hence, length AB is 23.41cm
CHECK THE ATTACHMENT
Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
