What is the circumference of a circle with a diameter of 4.5 miles? Estimate the circumference to the hundredths place using 3.14 for π.(1 point)
The circumference of a circle is given by the formula C = πd, where d is the diameter.
In this case, the diameter is given to be 4.5 miles.
Using the value 3.14 for π, we can calculate the circumference as:
C = 3.14 * 4.5
C ≈ 14.13
So, the circumference of the circle is approximately 14.13 miles.
Express 8/11 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)
To express 8/11 as a repeating decimal, we divide 8 by 11:
```
0. 72 72 72 72 ...
11│8
0
8
0
8
0
8
```
Quotient part: 0.72
Cycle of repeating digits: 72
So, 8/11 as a repeating decimal is approximately 0.72 with the cycle 72.
Which of the following is a rational number between 5 and 5 1/4 ?(1 point)
To find a rational number between 5 and 5 1/4, we can convert 5 1/4 to an improper fraction and find a number in between.
5 1/4 is equivalent to 5 + 1/4 = 20/4 + 1/4 = 21/4.
To find a rational number between 5 and 5 1/4, we can take the average of these two numbers:
(5 + 21/4) / 2 = (20/4 + 21/4) / 2 = (41/4) / 2 = 41/8.
Therefore, a rational number between 5 and 5 1/4 is 41/8.
To find the circumference of a circle, you can use the formula C = πd, where C represents the circumference and d represents the diameter of the circle. Given that the diameter is 4.5 miles and using the approximation of π as 3.14, we can proceed with the calculation.
1. Substitute the given diameter value in the formula:
C = 3.14 × 4.5
2. Calculate the product:
C = 14.13
3. Round the result to the hundredths place:
C ≈ 14.13 (rounded to the hundredths place)
Therefore, the estimated circumference of the circle is approximately 14.13 miles.
To find the circumference of a circle, you need to use the formula C = πd, where C represents the circumference, π (pi) represents the mathematical constant approximately equal to 3.14, and d represents the diameter.
In this case, the given diameter is 4.5 miles, so we can substitute it into the formula:
C = 3.14 × 4.5
Now, let's calculate it:
C = 14.13
To estimate the circumference to the hundredths place, we can round the value to two decimal places:
C ≈ 14.13
So, the estimated circumference of a circle with a diameter of 4.5 miles is approximately 14.13 miles.