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Alika [10]
3 years ago
11

What is the measure of angle A please HELP I’ll give you BRAINLIEST

Mathematics
1 answer:
k0ka [10]3 years ago
8 0

Answer:

Option (3)

Step-by-step explanation:

By applying cosine rule in the triangle ABC,

BC² = AC² + AB² - 2(AC)(AB)cosA

5² = 3² + 7²- 2(3)(7)cosA

25 = 9 + 49 - 42cos(A)

25 = 58 - 42cos(A)

cos(A) = \frac{33}{42}

A = \text{cos}^{-1}\frac{11}{14}

A = 38.21°

A ≈ 38°

Option (3) will be the correct option.

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Step-by-step explanation:

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let y the length and  x the  width

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xy = 1764 ...(1)

y = x +13....(2)  put this value in (1) : x (x+13) = 1764

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Δ = (13)² - 4(1)(-1764) = 169 +7056 = 7225=85²

X1 =(-b-√Δ)/2a =(-13-85)/2 < 0 refused  (x  >0)

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