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Ivahew [28]
3 years ago
6

What is the answer cos75 degrees=10/x

Mathematics
1 answer:
vova2212 [387]3 years ago
4 0
To find the answer we simply work out the equation.
cos (75) = 10/x

cos (75) * x = 10. Here, I simply multiplied both sides by x to move x to the left hand side of the equation.

x = 10 / cos (75) Here, I divided cos (75) on both sides to move cos (75) to the right hand side of the equation.

The cosine of 75 is 0.92175127, so, 10 / 0.92175127 = 10.8489137
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Step-by-step explanation

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3 years ago
Use​ Newton's method to find an approximate solution of ln(x)=10-x. Start with x_0 =9 and find x_2 .
vova2212 [387]

Answer:

x₂ = 7.9156

Step-by-step explanation:

Given the function  ln(x)=10-x with initial value x₀ = 9, we are to find the second approximation value x₂ using the Newton's method. According to Newtons method xₙ₊₁ = xₙ -  f(xₙ)/f'(xₙ)

If f(x) = ln(x)+x-10

f'(x) = 1/x + 1

f(9) = ln9+9-10

f(9) = ln9- 1

f(9) = 2.1972 - 1

f(9) = 1.1972

f'(9) = 1/9 + 1

f'(9) = 10/9

f'(9) = 1.1111

x₁ = x₀ -  f(x₀)/f'(x₀)

x₁ = 9 -  1.1972/1.1111

x₁  = 9 - 1.0775

x₁  = 7.9225

x₂ = x₁ -  f(x₁)/f'(x₁)

x₂ = 7.9225 -  f(7.9225)/f'(7.9225)

f(7.9225) = ln7.9225 + 7.9225 -10

f(7.9225) = 2.0697 + 7.9225 -10

f(7.9225) = 0.0078

f'(7.9225) = 1/7.9225 + 1

f'(7.9225) = 0.1262+1

f'(7.9225) = 1.1262

x₂ = 7.9225 - 0.0078/1.1262

x₂ = 7.9225 - 0.006926

x₂ = 7.9156

<em>Hence the approximate value of x₂ is 7.9156</em>

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3 years ago
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It should be c really hope this helps and im right have a blessed day:)

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9) y + 1 = -2(x + 1)<br> What is the slope intercept form
Karo-lina-s [1.5K]

Answer: y=mx+b

Step-by-step explanation:

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