Respuesta :

Answer:

  • 10

Step-by-step explanation:

b varies inversely as h, the equation is:

  • b = k / h, where k is the coefficient

b = 8 when h = 5, find the value of k:

  • 8 = k / 5
  • k = 8*5
  • k = 40

The equation is now:

  • b = 40 / h

Find b when h = 4:

  • b = 40 / 4
  • b = 10

As

[tex]\\ \sf\longmapsto b\propto \dfrac{1}{h}[/tex]

[tex]\\ \sf\longmapsto b1h1=b2h2[/tex]

[tex]\\ \sf\longmapsto 8(5)=4b_2[/tex]

[tex]\\ \sf\longmapsto 4b_2=40[/tex]

[tex]\\ \sf\longmapsto b_2=10[/tex]