There are 480 dishes that need to be rinsed. Juan can rinse them in 80 minutes by himself. It will his friend Kevin 120 minutes
to rinse these dishes. How long will it take them if they rinse these 480 dishes together ?
1 answer:
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The value of ∠BAC in the isosceles triangle is 9.7°
<h3>Cosine rule</h3>
Cosine rule is used to show the relationship between the sides and angles of a triangle. It is given by:
a² = b² + c² - 2bc*cos(A)
where a, b, c are the sides of the triangle and A, B, C are the angles opposite the sides.
AB = AC = 1185 (isosceles), BC = 200, let ∠BAC = x°, hence:
200² = 1185² + 1185² - 2(1185)(1185)cos(x)
2(1185)(1185)cos(x) = 2808450
cos(x) = 0.9857
x = 9.7°
The value of ∠BAC in the isosceles triangle is 9.7°
Find out more on Cosine rule at: brainly.com/question/7872492
Answer:
The answer is ⇒ x = 0.73244
Step-by-step explanation:
∵ 90^x = 27 ⇒ insert log in both sides
∴
∵ 90 = 9 × 10 , 27 = 3³
∵ log(a)^<em>b</em> = <em>b</em><em> </em>log(a)
∴ log(9 × 10)^x = x log(9 × 10)
∴
∵ log(a × b) = log(a) + log(b)⇒log(9 × 10) = log(9) + log(10)
∴
∵ log(10) = 1 , 9 = 3²
∴
∴
∴ x = (3log3)/[2log(3)+1]
∴ x = 0.73244