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?(1 point)
The price advertised is $3.399 per gallon.
*AGAIN BOT..GIVING WRONG ANSWERS OR MAKING SOME, UNSURE! **
NO! not all fractions are rational. "A fraction is rational if it can be expressed as a ratio of two integers." But if you put pi/2 that would not be a rational fraction, as you cannot express it as a ratio of two integers!
To find the height, we can multiply the side length by the square root of 3/2.
Approximating the square root of 3/2 as 7/4, we have:
Height = (7/4)(8) = 14 meters.
To find the whole number and rational number to the nearest half that 58−−√ is between, we can look at the number line.
The square root of 58 is approximately 7.62 (rounded to two decimal places).
To the left of 7.62, the whole number and rational numbers to the nearest half are 7 and 7.5.
To the right of 7.62, the whole number and rational numbers to the nearest half are 8 and 8.5.
Therefore, 58−−√ is between 7 and 7.5.
Which set of numbers is always rational?(1 point)
Responses
integers
integers
decimals
decimals
positive numbers
positive numbers
fractions
fractions
The height of an equilateral triangle equals √3/2 times the side length. Using 7/4 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 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)
To find the length of the diagonal, we can multiply the side length by 2−√.
Approximating the square root of 2 as 1.4, we have:
Diagonal = (2−√)(700) = (2−1.4)(700) = 0.6(700) = 420 feet.
Using a number line, what whole number and rational number to the nearest half is 40−−√ between?(1 point)
40−−√ is between _ and _.
To find the whole number and rational number to the nearest half that 40−−√ is between, we can look at the number line.
The square root of 40 is approximately 6.32 (rounded to two decimal places).
To the left of 6.32, the whole number and rational numbers to the nearest half are 6 and 6.5.
To the right of 6.32, the whole number and rational numbers to the nearest half are 6.5 and 7.
Therefore, 40−−√ is between 6 and 6.5.