contestada

The formula d = √2s² gives the length d of a diagonal of a square with side length s. Each side of a square piece of wood is 38 in. long. You paint a stripe along the
diagonal of the piece of wood. Estimate the length of the stripe to the nearest hundredth

Respuesta :

Answer: 53.74 in

Step-by-step explanation:

d=√2(38)²

d=√2*1444

d=√2888

d=53.74 in

semsee45

Answer:

53.74 in

Step-by-step explanation:

Given formula

[tex]\rm d=\sqrt{2s^2}[/tex]

where:

  • d = diagonal of a square
  • s = side length of a square

To estimate the diagonal of a square with side length 38 in, substitute s = 38 into the given formula and solve for d:

[tex]\implies \rm d=\sqrt{2 (38)^2}[/tex]

[tex]\implies \rm d=\sqrt{2 \cdot 1444}[/tex]

[tex]\implies \rm d=\sqrt{2888}[/tex]

[tex]\implies \rm d=53.74\:in\:\:(nearest\:hundredth)[/tex]