In ΔDEF, d = 6.4 inches, e = 7.8 inches and ∠F=33°. Find the length of f, to the nearest 10th of an inch.

9514 1404 393

  4.3 in

Step-by-step explanation:

The Law of Cosines is applicable when you have two sides and the angle between them. The third side satisfies ...

  f² = d² + e² -2de·cos(F)

  f² = 6.4² + 7.8² -2·6.4·7.8·cos(33°) ≈ 18.0671

  f ≈ √18.0671 ≈ 4.2505

The length of f is about 4.3 inches.

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e