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Ronch [10]
3 years ago
14

Can someone please help me with this question?

Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:

BA ≈ 1.88

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Trigonometry</u>

  • [Right Triangle Trig] sin∅ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

We are given a right triangle. We can use trig to find the missing length

<u>Step 2: Identify Variables</u>

<em>POV from angle C</em>

Angle = 28°

Adjacent = BA

Hypotenuse = 4

<u>Step 3: Solve for </u><em><u>BA</u></em>

  1. Substitute [sine]:                     sin28° = BA/4
  2. Isolate <em>BA</em>:                               4sin28° = BA
  3. Evaluate:                                  1.87789 = BA
  4. Rewrite:                                   BA = 1.87789
  5. Round:                                     BA ≈ 1.88
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Answer:

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Step-by-step explanation:

It is given that there are three vectors z1 = a1 + ib1, z2 = a2 + ib2 and z3 = a3 + ib3. Now, we have to prove (a) z1 + z2 = z2 + z1 and (b) z1 + (z2 +z3) = (z1 + z2) + z3.

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Again, z2 + z1 =(a2 +ib2) + (a1 +ib1) = (a2 +a1) + i(b2 +b1) {Adding the real and imaginary parts separately}

Hence, z1 +z2 =z2 + z1 {Since, (a1 +a2) = (a2 +a1) and (b1 +b2) = (b2 +b1)}

(b) z1 + ( z2+ z3 ) = [a1 + ib1] + [(a2 + a3 ) + i(b2 + b3 )] = ( a1 + a2 + a3) + i( b1+ b2+b3) {Adding the real and imaginary parts separately}

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Hence, z1 + ( z2+ z3 )=(z1+z2)+z3 proved.

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