Which statement is true about the relationships between the number sets?(1 point)
Responses
Some irrational numbers are also integers.
All rational numbers are also integers.
Not all natural numbers are real numbers.
Whole numbers include all natural numbers and 0.
Whole numbers include all natural numbers and 0.
Which of the following is true about −9?(1 point)
Responses
It is an integer but not a rational number.
It is a whole number but not an integer.
It is an integer but not a whole number.
It is both an integer and a whole number.
Which set of numbers is always rational?
The set of numbers that is always rational is the set of integers. Integers can be expressed as fractions, where the denominator is always 1.
Which set of numbers is always rational?(1 point)
Responses
positive numbers
decimals
fractions
integers
The set of numbers that is always rational is the set of 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?
Given that the height of an equilateral triangle equals 3√2 times the side length, we can substitute 74 for the square root of 3.
Height = 3√2 * side length
Height = 3 * 74 * 2 * 8
Calculating this expression:
Height = 3 * 74 * 2 * 8
Height = 1776 meters
Therefore, the approximate height of the equilateral triangle with a side length of 8 meters is 1776 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)
Given that the diagonal of a square equals 2–√ times the side length, we can substitute 1.4 for the square root of 2.
Diagonal = (2–√) * side length
Diagonal = (2–1.4) * 700
Calculating this expression:
Diagonal = (2–1.4) * 700
Diagonal = 0.6 * 700
Diagonal = 420 feet
Therefore, the approximate length from one corner to an opposite corner of the square park is 420 feet.