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egoroff_w [7]
3 years ago
14

A square has sides that are each 90 feet long. Which equations can be used to calculate d, the length of a diagonal on a square,

in feet?
Mathematics
1 answer:
spin [16.1K]3 years ago
7 0
<span>The length of a diagonal on a square represents a hypotenuse of the right triangle whose legs are equal
And also this triangle is a half of the square
The length of one side of a square = 90 feet

∴ d² = 90² + 90² = 2 * 90²
∴ d = 90√2

∴ </span><span>The equations can be used to calculate d = 90√2

In general for any square has length of side = x
The diagonal of the square = d = x√2</span>
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a circular native american dwlelling has a diameter of 24 feet. how much are inside the home? use 3.14 for { } (pi)
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Answer :

A = 452.16  \: {ft}^{2}

step-by-step explanation:

From the question,

the diameter:

d = 24 \: ft

The radius :

r =  \frac{diameter}{2}=  \frac{24}{2}=12 \: ft

\pi = 3.14

Area of a circle is given as

A = \pi {r}^{2}

By substitution,

A = 3.14( {12}^{2} )

\implies \: A = 3.14 \times 144

\implies \: A = 452.16  \: {ft}^{2}

Hence the area of the home is

A = 452.16  \: {ft}^{2}

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The solution of the equation is x = 71 / 36.

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Herein we have an equation with several rational constants and only one variable, x, which has to be cleared by using algebra procedures. The procedure is shown below:

2 · x + 1 / 3 + x - 1 / 4 = 13 / 2           Given

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