Question

answer this 1 question.
please don't answer if u don't know​

Answer 1

Answer:

m =56/81

Step-by-step explanation:

refer the above picture

Answer 2

$\large\underline{\sf{Solution-}}$

Given that,

m varies directly as n

$\rm\implies \:m \: \alpha \: n - - - (1)$

Also, given

m varies inversely as square of p

$\rm\implies \:m \: \alpha \: \dfrac{1}{ {p}^{2} } - - - (2)$

From equation (1) and (2), we get

$\rm\implies \:m \: \alpha \: \dfrac{n}{ {p}^{2} }$

$\rm\implies \:m \: = \: k \: \dfrac{n}{ {p}^{2} } - - - (3)$

where k is constant of proportionality .

Now, given that, m = 2, n = 18, p = 2

So, on substituting the values, in above expression, we get

$\rm \: \:2 \: = \: k \: \times \dfrac{18}{ {2}^{2} }$

$\rm \: \:2 \: = \: k \: \times \dfrac{9}{ {2} }$

$\rm\implies \:k = \dfrac{4}{9}$

On substituting the value of k in equation (3), we get

$\rm\implies \:m \: = \: \dfrac{4 \: n}{ 9 \: {p}^{2} }$

Now, we have given that p = 3 and n = 28

So, on substituting these values in above expression, we get

$\rm \: \:m \: = \: \dfrac{4 \: \times \: 28}{ 9 \: \times \: {3}^{2} }$

$\rm \: \:m \: = \: \dfrac{112}{ 9 \: \times \: 9}$

$\rm\implies \:\rm \: \:m \: = \: \dfrac{112}{ 81}$

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ADDITIONAL INFORMATION

1. Direct Variation :- Two variables x and y are said be varies directly if x increases or decreases as y increases or decreases.

2. Indirect Variation or Inverse Variation :- Two variables x and y are said to be in inverse variation

if x increases and y decreases

or

if x decreases and y increases.