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)

Answer 1

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.

Answer 2

Express 8/11 as a repeating decimal. Mark the cycle of repeating digits with a bar.(1 point)

Answer 3

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.

Answer 4

Which of the following is a rational number between 5 and 5 1/4 ?(1 point)

Answer 5

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.