The ratio of similar areas is the square of the ratio of the scale factor.
Circle R's sector is (5/2)² = 25/4 the area of Circle Q's sector.
we know that
the car gets 18 miles per -----------> 1 gallon of gasoline
so
for 543 miles ---------------------> x gallons of gasoline
by proportion
543/18=x/1---------->x=543/18------->x=30.17 gallons
therefore
the answer is
30.17 gallons
Yes it is a geometric sequence and the common ratio is 2/3
Using BEDMAS, it would be brackets first, so anything Inside a set of brackets would be solved first, and would follow the same rule. Once the brackets have been solved, next would be the exponents. Since your brackets have been solved you can expand with the exponents. After exponents, would be anything that has to be divided or multiplied. These two operations are interchangeable based on what is more convenient or beneficial to do first. And lastly, addition and subtraction, which once again are interchangeable operations
<u>Answers with step-by-step explanation:</u>
1. Area of sector 1 = 
2. Area of sector 2 = 
3. Area of sector 3 = 
4. Area of sector 4 = 
5. Arc length of sector 1 = 
6. Arc length of sector 2 = 
7. Arc length of sector 3 = 
8. Arc length of sector 4 = 