Find c to two decimal places and find the measure of angle b. angle a = 58°, side ac = 5, side bc = 8, find side c. angle c is 90°.

Step-by-step explanation:

Side c = AB can be found using the Pythagorean theorem:

  c² = a² + b² = 8² +5² = 89

  c = √89 ≈ 9.43

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Angle B is the complement of angle A, so is ...

  B = 90° -A = 90° -58° = 32°

c is approximately 9.43; the measure of angle B is 32°.

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w