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iragen [17]
3 years ago
15

Find the value of x please

Mathematics
2 answers:
andrezito [222]3 years ago
5 0
= 18 x sin(20) = 6.15 rounded to 6.2
blagie [28]3 years ago
4 0
1st you have to calculate sin 20° = (opposite side) / (hypotenuse)

sin 20° = x/18
0.342 = x/18
x = (18.0).(342)
x= 6.15 ≈ 6.2 (answer C)

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Nataliya [291]

Answer:

A = 60° , B = 30°

Step-by-step explanation:

sin(A+B ) = 1\\\\\  \  \ (A + B) \  = \ \ sin^{-1} 1\\\\A + B = 90^\circ  --(1)\\\\ \ tan (A - B) = \frac{1}{\sqrt{3}}\\\\(A-B) = tan^{-1}\frac{1}{\sqrt3}}\\\\A - B =  30^\circ --(2)\\\\ (1)  + (2) => 2A = 120^\circ\\

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7 0
3 years ago
if it takes 10 minutes for 15 machines to make 5 widgets, how many minutes would it take 5 machines to make 15 widgets
pshichka [43]

The number of minutes it will take 5 machines to make 15 widgets is 90 minutes

Given that :

The time taken to make a widget is directly proportional to the number of widgets made and inversely proportional to the number of machines utilized.

Using the variation protocol defined :

Let :

n = number of widgets made

n = number of widgets made m = number of machines used

n = number of widgets made m = number of machines used t = time taken

Hence, from joint variation :

t α n α 1/m

t = kn/m

Where k = constant of proportionality :

Solving for k

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10 = (k × 5) / 15

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Equation becomes :

t = 30n/m

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t = 450 / 5

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Hence, it will take 90 minutes.

Learn more : brainly.com/question/18796573

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Step-by-step explanation:

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8 0
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