Which statement is true about the relationships between the number sets? (1 point)
• Some irrational numbers are also integers.
• Whole numbers include all positive integers and negative integers.
• All integers are also rational numbers.
• Not all natural numbers are real numbers.
All integers are also rational numbers.
Which set of numbers is always irrational? (1 point)
O non-terminating, non-repeating decimals
O repeating decimals
O positive decimals
• terminating decimals
The set of numbers that is always irrational is non-terminating, non-repeating decimals.
The diagonal of a square equals 2 times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 70 feet on a side? (1 point)
To find the length from one corner to an opposite corner of a square park, we can use the Pythagorean theorem. In this case, the diagonal is equal to 2 times the side length.
Given that the side length of the square park is 70 feet, we can calculate the length of the diagonal as follows:
diagonal = 2 * side length = 2 * 70 feet = 140 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 140 feet.
The diagonal of a square equals 2 times the side length. Using 1.4 for the square root of 2, what is the approximate length in feet from one corner to an opposite corner of a square park that is 70 feet on a side? (1 point)
***?????***
I apologize for the confusion in my previous response. To find the approximate length in feet from one corner to an opposite corner of a square park, we need to use the diagonal formula.
Given that the side length of the square park is 70 feet, the diagonal would be:
diagonal = 2 * side length = 2 * 70 feet = 140 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 140 feet.
Using a number line, what whole number and rational number to the nearest half is 68 between? (1 point)
To find the whole number and rational number to the nearest half that 68 is between, we can use a number line.
Let's look at the number line below:
... | 67.5 | ---- 68 ----- | 68.5 | ...
From the number line, we can see that 68 is located exactly halfway between the two whole numbers 67 and 68. Therefore, 68 is the whole number to the nearest half.
To find the rational number to the nearest half, we can use the same number line. The number line shows that 68 is closer to 67.5 than to 68.5. Therefore, the rational number to the nearest half is 67.5.