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

B. %Step-by-step explanation:Percentage = %...

552 = 502 + 352 − 2(50)(35)cos(A) After working - id552502352250356528071, Syaralopez

lauren21bunch

27.01.2022

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 , 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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NetherisIsTheQueen

28.03.2021

B. 27.5 %

Step-by-step explanation:

Percentage = $\frac{Students\ who\ prefer\ hot\ dogs}{Total\ students} \times 100= \frac{55}{200} \times 100=27.5%$ %

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