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Phoenix [80]
4 years ago
7

HELP PLS - The ratio of the width to the length in rectangle ABCD is 4 : 5 if the area of the rectangle is 2,000 square meters,

then which in the length of the rectangle?

Mathematics
1 answer:
hodyreva [135]4 years ago
6 0

Length of the rectangle is 40 meters.

Step-by-step explanation:

  • Step 1: Ratio of width:length = 4:5, so let width be 4x and length be 5x. Find the length if area = 2000 sq. m

Area of the rectangle = length × width

2000 = 5x × 4x

2000 = 20x²

⇒ x² = 2000/20 = 100

∴ x = 10

4x = 40 m

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pentagon [3]

Answer:

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4) Multiplicative inverse of i^4 = 1

Step-by-step explanation:

We have to find multiplicative inverse of each of the following.

1) i

The multiplicative inverse is 1/i

if i is in the denominator we find their conjugate

=1/i * i/i\\=i/i^2\\=We\,\, know\,\, that\,\, i^2 = -1\\=i/(-1)\\= -i

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2) i^2

The multiplicative inverse is 1/i^2

We know that i^2 = -1

1/-1 = -1

so, Multiplicative inverse of i^2 = -1

3) i^3

The multiplicative inverse is 1/i^3

We know that i^2 = -1

and i^3 = i.i^2

1/i^3\\=1/i.i^2 \\=1/i(-1)\\=-1/i * i/i\\=-i/i^2\\= -i/-1\\= i

so, Multiplicative inverse of i^3 = i

4) i^4

The multiplicative inverse is 1/i^4

We know that i^2 = -1

and i^4 = i^2.i^2

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so, Multiplicative inverse of i^4 = 1

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Step-by-step explanation:

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\bf \qquad \qquad \textit{Future Value of an ordinary annuity}
\\\\
A=pymnt\left[ \cfrac{\left( 1+\frac{r}{n} \right)^{nt}-1}{\frac{r}{n}} \right]
\\\\\\

\bf \begin{cases}
A=
\begin{array}{llll}
\textit{original amount}\\
\textit{already compounded}
\end{array} &
\begin{array}{llll}

\end{array}\\
pymnt=\textit{periodic payments}\to &400\\
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n=
\begin{array}{llll}
\textit{times it compounds per year}\\
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\end{array}\to &1\\

t=years\to &14
\end{cases}
\\\\\\
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