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find m when n =1.6 and h =0.01​

Sagot :

Answered by wHanari:

:

• m=knh

• 2.4=k(0.6)(0.8)

• 2.4=k(0.48)

• 2.4=0.48

• kk=5

• m=knh

• m=5(1.6)(0.01)

• m=5(0.016)m=0.08

Answer:

m=0.08

Step-by-step explanation:

m varies jointly with n and h, and m = 2.4 when n = 0.6 and h = 0.8, solve for m when n = 1.6,h = 0.01

The statement denotes a relationship of m = knh where k is a constant

Plugging in our initial statement values of m = 2.4 when n = 0.6 and h = 0.8, we get:

[tex]2.4 = (0.6)(0.8)k[/tex]

[tex]2.4 = 0.48k[/tex]

Divide each side by 0.48 to solve for k:

[tex]\frac{2.4}{0.48} =\frac{0.48k}{0.48}[/tex]

[tex]\frac{2.4}{0.48} = 5[/tex]

[tex]k=5[/tex]

Solve the second part of the variation equation:

Because we have found our relationship constant k = 5, we form our new variation equation:

[tex]m = 5nh[/tex]

Since we were given that n = 1.6,h = 0.01, we have

[tex]m =( 5 )(1.6 )(0.01)[/tex]

[tex]\huge{\boxed{m=0.08}}[/tex]

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