Which set of numbers is always rational?(1 point)
Responses
decimals
decimals
integers
integers
positive numbers
positive numbers
fractions
fractions
The height of an equilateral triangle equals 3√2 times the side length. Using 74 for the square root of 3, what is the approximate height in meters of an equilateral triangle with a side length of 8 meters?(1 point)
The height of an equilateral triangle is given by the formula:
height = √3/2 * side length
Given that the side length is 8 meters, we can substitute this value into the formula:
height = √3/2 * 8
Next, we substitute the value of 74 for the square root of 3:
height = 74/2 * 8
Simplifying the fraction:
height = 37 * 8
Multiplying:
height = 296
Therefore, the height of the equilateral triangle is approximately 296 meters.
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 700 feet on a side?(1 point)
$$
hi
Hello! How can I assist you today?
The diagonal of a square is given by the formula:
diagonal = √2 * side length
Given that the side length is 700 feet, we can substitute this value into the formula:
diagonal = 1.4 * 700
Multiplying:
diagonal = 980
Therefore, the approximate length in feet from one corner to an opposite corner of the square park is 980 feet.
show an example of an irrational number between 9 and 11.
One example of an irrational number between 9 and 11 is √10. When approximated, √10 ≈ 3.162.
Therefore, √10 is an irrational number between 9 and 11.