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)
$
To convert $3.39 9/10 into decimal form, we need to divide the fractional part by 10.
$3.39 9/10 = $3.399
So, a gallon costs $3.399.
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)
To find the height of an equilateral triangle with a given side length, we can use the formula:
Height = (sqrt(3)/2) * Side Length
Given that sqrt(3) is approximately equal to 7/4, we can substitute this value into the formula:
Height = (7/4 * 1/2) * 8
Height = (7/8) * 8
Height = 7 meters
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.
Using rational approximations, what is an inequality statement comparing 81−−√ and 8–√8? Enter <, >, or =.(1 point)
To approximate √81 and √8, we can use the following rational approximations:
√81 ≈ 9
√8 ≈ 2.83
Comparing these values, we have:
√81 > √8
Therefore, the inequality statement is:
√81 > √8
Monique measured the widths of several stamps in her collection of world stamps. The measurements are 1 5/8in., 1 11/16in., 1 3/4in., and 1 1/2in. What is the width of the widest stamp?(1 point)
To find the width of the widest stamp, we need to compare the given measurements and determine which one is the largest.
The given measurements are:
1 5/8in., 1 11/16in., 1 3/4in., and 1 1/2in.
To compare these measurements, we can convert them all to a common denominator.
1 5/8in. = (8/8 * 1) + 5/8 = 13/8in.
1 11/16in. = (16/16 * 1) + 11/16 = 27/16in.
1 3/4in. = (4/4 * 1) + 3/4 = 7/4in.
1 1/2in. = (2/2 * 1) + 1/2 = 3/2in.
From these conversions, we can see that:
13/8in. > 27/16in. > 7/4in. > 3/2in.
Therefore, the widest stamp has a width of 13/8 inches.