Answer: OPTION B
Step-by-step explanation:
Let be "x" the acceptable lengths for the rod.
You know that the ideal length of the metal rod is 30.5 centimeters and the measured length may vary from the ideal length by at most 0.015 centimeters.
Therefore, knowing this, you can say that the acceptable lengths must be:
Therefore, the range of acceptable lengths for the rod is the following:
This range matches with the one shown in the option B.
12.56cm squared is the area of the shaded part of the circle.
Answer:
Step-by-step explanation:
C:1
<span>Fuel consumed by Car A = 20 gallons
Fuel consumed by Car B = 30 gallons
Total distance = 950 miles
Let, distance covered by Car A = X miles
As the total distance covered is 950 miles,
Distance covered by Car B = 950 - X miles
Efficiency is calculated as total distance travelled divided by total fuel consumed.
Efficiency of Car A = X/20 miles/gallon
Efficiency of Car B = (950 - X)/30 miles/gallon
It is given that sum of efficiencies is 40. So,
(X/20) + (950 - X)/30 = 40
X/20 can be represented as 3X/60 and (950 - X)/30 can be represented as (2*(950-X)/60) to make the denominator same.
(3X/60) + (2*(950-X)/60) = 40
Simplifying, we get
(3X + 1900 - 2X)/60 = 40
Simpifying further, we get
X + 1900 = 2400
X = 2400 - 1900
X = 500
So, distance covered by Car A = 500 miles
Distance covered by Car B = 950 - 500 = 450 miles
To calculate fuel efficiencies,
Efficiency of Car A = 500/20 = 25 miles/gallon
Efficiency of Car B = 450/30 = 15 miles/gallon</span>
