Please help me with this

  (a)  7.6 cm

  (b)  46.5 cm^2

Step-by-step explanation:

The side you have marked as "Opp" is related to the given angle and side by ...

  Sin = Opposite/Hypotenuse

  Opp = Hyp·sin(43°) . . . . . . . . . . . multiply by hypotenuse

  Opp ≈ (12 cm)·0.681998 ≈8.18398 cm

The value of x can be found using the Pythagorean theorem:

  x^2 +3^2 = 8.18398^2

  x = √(8.18398^2 -3^2) = √57.9775

  x ≈ 7.614 cm

__

The bisector of the 38° angle will divide the triangle into two right triangles, each with a base of 4 and an opposite angle of 19°. The height of the triangle can be found from ...

  Tan = Opposite/Adjacent

  tan(19°) = (4 cm)/height

  height = (4 cm)/tan(19°) ≈ 11.6168 cm

The area of a triangle is ...

  A = 1/2bh . . . . . base b, height h

The area of the two right angled triangles will be ...

  A = 2(1/2)(4 cm)(11.6168 cm) ≈ 46.5 cm^2

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²