Answer/Step-by-step explanation:
Given that a and b are two corresponding sides of two similar figures, it follows that the ratio of their areas = a²/b².
We would use the above knowledge to solve the questions given as follows:
✔️The first pair similar of shapes:
Missing area = x cm²
Therefore,
x/9 = 8²/4²
x/9 = 64/16
x/9 = 4
Cross multiply
x = 4 × 9
x = 36 cm²
✔️The second pair similar of shapes:
Missing area = x cm²
Therefore,
x/240 = 8²/32²
x/240 = 64/1,024
Cross multiply
x*1,024 = 64*240
x*1,024 = 15,360
Divide both sides by 1,024
x = 15,360/1,024
x = 15 cm²
✔️The third pair similar of shapes:
Missing area = x cm²
Therefore,
x/40 = 3²/2²
x/40 = 9/4
Cross multiply
x*4 = 9*40
x*4 = 360
Divide both sides by 4
x = 360/4
x = 90 cm²
You can approach this question by writing the function as y=… as I did in the photo. Then rearrange to make x the subject. Lastly, swap the ys for xs and write as I did on the final line of my working. If you like I can explain how to rearrange the equation or answer any other questions but I think you should be able to see
The population density of an area is the number of people living in per unit area. The most populated region is Region A.
<h3>What is Population Density?</h3>
The population density of an area is the number of people living in per unit area. It is given by the formula,

The population density of the different regions is as follows,
Region A = 20,178 person /521 km² = 38.729 person/km²
Region B = 1,200 person /451 km² = 2.66 person/km²
Region C = 13,475person /395 km² = 34.114 person/km²
Region D = 6,980 person /426 km² = 16.385 person/km²
Hence, The most populated region is Region A.
Learn more about Population Density:
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0.009 i think this is the answer
A common denominator of 6 and 4 is 12. That is the Least Common Denominator, the LCD. In 12 days it would be the 27th of February. There you go.