Hcf of 72, 120, 192 with explanations

Mathematics

1 answer:

ryzh [129]4 years ago

5 0

Hcf means highest common factor
Which can be determined using many methods such as long division method and prime factorisation . Now let me solve your question . Hope u understand and mark as brainlist

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If the ratio of the sides of two similar prisms is 3:5 and the volume of the first prism is 54, what is the volume of the second

Yuri [45]

$\bf \qquad \qquad \textit{ratio relations}
\\\\
\begin{array}{ccccllll}
&Sides&Area&Volume\\
&-----&-----&-----\\
\cfrac{\textit{similar shape}}{\textit{similar shape}}&\cfrac{s}{s}&\cfrac{s^2}{s^2}&\cfrac{s^3}{s^3}
\end{array} \\\\
-----------------------------\\\\$

$\bf \cfrac{\textit{similar shape}}{\textit{similar shape}}\qquad \cfrac{s}{s}=\cfrac{\sqrt{s^2}}{\sqrt{s^2}}=\cfrac{\sqrt[3]{s^3}}{\sqrt[3]{s^3}}\\\\
-------------------------------\\\\
\cfrac{smaller}{larger}\qquad \cfrac{s^3}{s^3}=\cfrac{\textit{volume of smaller}}{\textit{volume of larger}}\implies \cfrac{3^3}{5^3}=\cfrac{54}{v}
\\\\\\
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3 years ago

If y = 3x and 2x + 4y = 12, then 2x + 4(3x) = 12

Kamila [148]

Answer:

x=6/7 and y=18/7

Step-by-step explanation:

If y = 3x and 2x + 4y = 12,

then substitute the value of y with 3x

2x + 4(3x) = 12

2x+12x=12

14x=12

x=12/14=6/7

y=3x=3*(6/7)=18/7

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3 years ago