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elena-14-01-66 [18.8K]
3 years ago
6

552 = 502 + 352 − 2(50)(35)cos(A) After working through the problem above, we get cos(A) = .

Mathematics
1 answer:
jeka943 years ago
7 0

We have been given an equation 55^2=50^2+35^2-2(50)(35)\text{cos}(A). We are asked to find the values of \text{cos}(A).

First of all, we will square the terms.

3025=2500+1225-3500\text{cos}(A)

3025=3725-3500\text{cos}(A)

Now we will subtract 3725 from both sides as:

3025-3725=3725-3725-3500\text{cos}(A)

-700=-3500\text{cos}(A)

Switch sides:

-3500\text{cos}(A)=-700

Upon dividing both sides by -3500, we will get:

\frac{-3500\text{cos}(A)}{-3500}=\frac{-700}{-3500}

\text{cos}(A)=\frac{7}{35}

\text{cos}(A)=\frac{1}{5}

\text{cos}(A)=0.2

Therefore, the values of \text{cos}(A) is 0.2.

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