Arrange in descending order ;
-12; 5; -8; 0; 7; -2
7, 5, 0, -2, -8, -12
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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?
To find the height of an equilateral triangle, we can use the formula: height = (square root of 3) / 2 * side length.
Given that the square root of 3 is approximately equal to 7/4, we can substitute this value into the formula.
height = (7/4) / 2 * 8
= (7/4) * 1/2 * 8
= 7/8 * 8
= 7 meters.
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.
explain more please. in a simpler way.
Certainly!
The height of an equilateral triangle is found by multiplying the square root of 3 divided by 2, with the side length of the triangle. In this case, we are given that the square root of 3 is approximately equal to 7/4.
So, we can substitute 7/4 for the square root of 3 and multiply it by the given side length of 8 meters.
height = (7/4) / 2 * 8
= (7/4) * 1/2 * 8
= 7/8 * 8
= 7 meters.
Therefore, the approximate height of an equilateral triangle with a side length of 8 meters is 7 meters.
solve ;
A) -12 +28
B) -24 - 13
C) -5 × -4
A) -12 + 28 = 16
B) -24 - 13 = -37
C) -5 × -4 = 20
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 of the diagonal of a square, we can use the formula: diagonal = (square root of 2) * side length.
Given that the square root of 2 is approximately equal to 1.4, we can substitute this value into the formula.
diagonal = 1.4 * side length
= 1.4 * 700
= 980 feet.
Therefore, the approximate length from one corner to an opposite corner of the square park is 980 feet.
Using a number line, what whole number and rational number to the nearest half is √58 between?
between 7.5 and 8
between 7 and 7.5
between 8 and 8.5
between 8.5 and 9
To determine the whole number and rational number that √58 is between, we can estimate its value. The square root of 58 is approximately 7.62.
Since we are looking for the number to the nearest half, we can find that √58 is between 7.5 and 8.
Therefore, the whole number and rational number that √58 is between are 7 and 7.5.
Using rational approximations, what is an inequality statement comparing √81 and √88? Enter <, >, or =.
The inequality is: √81 ___ √88
Using rational approximations, we can determine the inequality between √81 and √88.
√81 is equivalent to 9 since the square root of a perfect square is the number itself.
√88 is approximately 9.38, which can be rounded to 9.4 as a rational approximation.
Therefore, the inequality is: √81 < √88
Write 6,739 in expanded form.
A. (9×1,000)+(3×100)+(7×10)+(6×1)
B. (6×1,000)+(7×100)+(3×10)+(9×1)
C. (6×1,000)+(7×100)+(3×10)+(0×1)
D.(7×100)+(3×10)+(9×1)
The correct option for writing 6,739 in expanded form is:
B. (6×1,000)+(7×100)+(3×10)+(9×1)
So, 6,739 in expanded form is (6×1,000)+(7×100)+(3×10)+(9×1).