Which statement is true about the relationships between the number sets?(1 point)
Responses
Whole numbers include all natural numbers and 0.
Some irrational numbers are also integers.
Not all natural numbers are real numbers.
All rational numbers are also integers
The statement "Whole numbers include all natural numbers and 0" is true.
Which of the following is true about −9?(1 point)
Responses
It is an integer but not a rational number.
It is an integer but not a rational number.
It is an integer but not a whole number.
It is an integer but not a whole number.
It is both an integer and a whole number.
It is both an integer and a whole number.
It is a whole number but not an integer.
The statement "It is an integer but not a rational number" is true about -9.
A sign in a gas station advertises gas at the rate of $3.39 9/10 per gallon. How many dollars does a gallon cost, writing the price strictly as a decimal?
To write the price strictly as a decimal, we can ignore the fraction part. Therefore, the price of gas per gallon is $3.39.
wrong answer, please try again
Apologies for the mistake.
To convert the fraction 9/10 into a decimal, we divide 9 by 10:
9 ÷ 10 = 0.9
So the fraction 9/10 is equal to 0.9.
Therefore, the price of gas per gallon is $3.39 + $0.9 = $4.29.
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?
To find the height of an equilateral triangle, we multiply the side length by √3/2.
Given that √3 ≈ 74, we can substitute this value into the formula.
Height = √3/2 * Side length
Height = 74/2 * 8 meters
Height = 37 * 8 meters
Height = 296 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 296 meters.
are you sure?
Apologies for the mistake. Let's calculate the correct value.
Height = (√3/2) * Side length
Given that √3 ≈ 1.732, we can substitute this value into the formula.
Height = (1.732/2) * 8 meters
Height = 0.866 * 8 meters
Height ≈ 6.928 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is approximately 6.928 meters.
are you sure?
Apologies for the previous incorrect response. Let's recalculate the value correctly.
Height = (√3/2) * Side length
Given that √3 is approximately 1.732, we can substitute this value into the formula.
Height = (1.732/2) * 8 meters
Height = 0.866 * 8 meters
Height = 6.928 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is approximately 6.928 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?
To find the length from one corner to an opposite corner of a square park, we can use the formula: Diagonal = √2 * Side length.
Given that √2 ≈ 1.4, we can substitute this value into the formula.
Diagonal = 1.4 * Side length
Diagonal = 1.4 * 700 feet
Diagonal = 980 feet
Therefore, the approximate length from one corner to an opposite corner of a square park that is 700 feet on a side is approximately 980 feet.