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Brilliant_brown [7]
3 years ago
5

Find a ratio equivalent to 7/9.

Mathematics
2 answers:
Anettt [7]3 years ago
8 0
It is 14: 18 you'd multiply the top and bottom by 2 that would give 14 units to 18 units or it could stay the same as 7:9 or 7 units to 9 units.
Mrac [35]3 years ago
5 0
14/18 because you multiply by 2 on each number.
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Answer: |10 - (-8)|  

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Answer:

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What is the area of the shaded sector
Whitepunk [10]

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Area = 634.21 square metre

Step-by-step explanation:

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Area \ of \ the \ circle = \pi r^2 = 225 \pi\\\\Area \ of \ the \ sector = \pi r^2 \frac{ \theta}{360} = \pi \times 225 \times \frac{37}{360}

Area \ of \ shaded \ region = 225 \pi - (225 \pi \times  \frac{37}{360})

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7 0
3 years ago
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A business was valued at £80000 at the start of 2013. In 5 years the value of this business raised to £95000. this is equivalent
Yuri [45]

the yearly increase of x% assumes is compounding yearly, so let's use that.

~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill &\£95000\\ P=\textit{original amount deposited}\dotfill &\£80000\\ r=rate\to r\%\to \frac{r}{100}\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{yearly, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}

95000=80000\left(1+\frac{~~ \frac{r}{100}~~}{1}\right)^{1\cdot 5}\implies \cfrac{95000}{80000}=\left( 1+\cfrac{r}{100} \right)^5 \\\\\\ \cfrac{19}{16}=\left( 1+\cfrac{r}{100} \right)^5\implies \sqrt[5]{\cfrac{19}{16}}=1+\cfrac{r}{100}\implies \sqrt[5]{\cfrac{19}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[5]{\cfrac{19}{16}}=100+r\implies 100\sqrt[5]{\cfrac{19}{16}}-100=r\implies 3.5\approx r

4 0
2 years ago
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