Mathematics: How to turn 3:7 to a precentage

How to turn 3:7 to a precentage - id3713801459, miraclewhipppp

Ответ:

JunkerQueen

21.06.2021

3:7 = 42.86%

Step-by-step explanation:

Ratios are often expressed in the form m:n or m/n. To convert a ratio into the form of a percentage, simply divide m by n and then multiply the result by 100.

Follow the following steps for converting a ratio to a percentage :

Step 1: Rewrite as fraction 3:7=37=0.4286

Step 2: Multiply the fraction by 100 0.4286⋅100%=42.86%

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Ответ:

jurnee77

20.05.2022

Mathematics

$\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}$

Step-by-step explanation:

Given

x and y is in the fourth quadrant

$\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}$

we know,

$\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y$

using $\sin ^2\theta +\cos^2 \theta =1$

$\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}$

$\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}$

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How to turn 3:7 to a precentage

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