what whole number and rational number to the nearest half is 40√ between
To find the whole number and rational number to the nearest half that is between $40$ and $\sqrt{40}$, we need to find the whole number and rational number to the nearest half between $6.32$ and $6$.
Since $6$ is closer to $6.32$ than $6.5$, the whole number and rational number to the nearest half between $40$ and $\sqrt{40}$ is $\boxed{6}$.
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?
If the diagonal of a square is equal to $2 - \sqrt{2}$ times the side length, we can set up the equation:
$\text{diagonal} = (2 - \sqrt{2}) \times \text{side length}$
We are given that the side length is 700 feet, so we substitute that in:
$\text{diagonal} = (2 - \sqrt{2}) \times 700$
Using the given approximation $1.4$ for $\sqrt{2}$, we can simplify the equation:
$\text{diagonal} = (2 - 1.4) \times 700$
$\text{diagonal} = 0.6 \times 700$
$\text{diagonal} = 420$ feet
Therefore, the approximate length from one corner to an opposite corner of the square park is $\boxed{420}$ feet.
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?
If the height of an equilateral triangle is equal to $\sqrt{3}/2$ times the side length, we can set up the equation:
$\text{height} = (\sqrt{3}/2) \times \text{side length}$
We are given that the side length is 8 meters, so we substitute that in:
$\text{height} = (\sqrt{3}/2) \times 8$
Using the given approximation $7/4$ for $\sqrt{3}$, we can simplify the equation:
$\text{height} = (7/4)\times(8) = 7 \, \text{meters}$
Therefore, the approximate height of the equilateral triangle is $\boxed{7}$ meters.
A sign in a gas station advertises gas at the rate of $3.39910 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 remove the dollar sign and only retain the numerical value.
The price of gas is $3.39910 per gallon, so the cost of one gallon is $\boxed{3.39910}$ dollars.
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 first need to convert the mixed number $3.39 \frac{9}{10}$ into a decimal.
$3.39 \frac{9}{10}$ can be rewritten as $3.39 + \frac{9}{10}$. To convert $\frac{9}{10}$ into a decimal, we divide 9 by 10:
$\frac{9}{10} = 0.9$
Now we can add $0.9$ to $3.39$ to get the decimal form of the price:
$3.39 + 0.9 = 4.29$
Therefore, a gallon of gas costs $\boxed{4.29}$ dollars.
To find the whole number and rational number to the nearest half that is between 40√, we need to first calculate the value of 40√.
40√ is equal to 40 multiplied by the square root of 2 (√2). To approximate this value, we can use a calculator or estimate √2 to be approximately 1.414. Now we can calculate 40 * 1.414 to find the approximate value of 40√.
40 * 1.414 = 56.56
So, 40√ is approximately equal to 56.56.
Next, we need to find the whole number and rational number to the nearest half that is between 56.56.
To the nearest half, the closest whole number is 56, and the closest rational number is 56.5.
Therefore, the whole number and rational number to the nearest half that is between 40√ is 56 and 56.5, respectively.