Order 5/7, 2/6, and 5/10 least to greatest

Mathematics

2 answers:

Elina [12.6K]4 years ago

5 0

Answer:

5/7, 5/10 then, 2/6

Step-by-step explanation:

Convert them to decimals, to order them properly,

How do you do that?, well you have to divide the numerator with the denominator, and how? you could use a calculator, and there is a specific long division method for that.

boyakko [2]4 years ago

5 0

The answer to your question is2/6, 5/10 and then 5/7.

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1 over 6 parentheses exponent 2

Harman [31]

Answer:

1/36

Step-by-step explanation:

1) 1 over 6 parentheses represents a fraction which is 1/(6)

2) exponent 2 represents 1/(6) squared which is also 1/(6)²

3) Finally, multiply 1/6 two times 1/6*1/6 which is equal to 1/36

Hope this helps!

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3 years ago

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adelina 88 [10]

Answer:

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3 years ago

Find the volume of a right prism with height h=10 cm, The base is equilateral triangle with side 4 cm, base altitude of ≈ 3.5 cm

cestrela7 [59]

<h2>Answer:</h2>

$\boxed{V=40\sqrt{3}cm^3}$

<h2>Step-by-step explanation:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. In a right prism every edge that connects the base and the opposite face makes right angles with both faces. Moreover, a triangular prism is a solid whose base is a triangle. In general, a prism's volume is always equal to the area of its base, which has the same area of the top face, times its height. In mathematical language:

$V=A_{b}\times H \\ \\ Where: \\ \\ A_{b}:Base \ Area \\ \\ H:Height$

Since the base is an equilateral triangle with side 4 cm, then we'll use Heron's formula to find the area. This formula uses triangle's side lengths and the semiperimeter. A polygon's semiperimeter s is half its perimeter. So the area of a triangle can be found by $A=\sqrt{s(s-a)(s-b)(s-c)}$ being $a,\:b\:and\:c$ the corresponding sides of the triangle. So: