Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so t
hat the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph.
2 answers:
Answer:
After each cut, the remaining area is 80% of the previous area.
Step-by-step explanation:
The original area is 100 cm^2. After the first cut the remaining area is 80 cm^2, that is, 80 cm^2/(100 cm^2)*100 = 80% of the previous. The 80% of 80 cm^2 is 0.8*80 = 64 cm^2, which is the remaining area after the second cut. The 80% of 64 cm^2 is 0.8*64 = 51.2 cm^2, which is the remaining area after the third cut. And so on.
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Answer:
Step-by-step explanation:
We proceed to show the procedure to calculate the given fraction into a decimal form:
1) Since numerator is less than denominator, the integer component of the decimal number is zero:
2) We multiply the numerator by 10 and find the tenth digit:
Then,
3) We multiply the fraction in 2) by 10 and find the hundredth digit:
Then,
And the remainder is:
4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:
Then,
This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is: