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Bumek [7]
2 years ago
6

A triangle has side lengths 2.83 m, 4 m, and 2.24 m. The angles measures are 45°, 63°, and 72°.

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
7 0

Answer:

  • D) acute scalene

Step-by-step explanation:

<h3>What are the definitions?</h3>

  • Obtuse triangle - the triangle with angle greater than 90°;
  • Acute triangle - the triangle with all interior angles under 90°;
  • Isosceles triangle - the triangle with a pair of equal sides;
  • Scalene triangle - the triangle with all three sides (or angles) of different measure.

<h3>What we have?</h3>

  • All sides are different and all angles are under 90°.

<h3>Which option is correct?</h3>

  • D) acute scalene

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study the spinner below. if the wedges 2 and 5 are twice the area of the other wedges what is the likelihood of landing on 2 or
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Using the foil method, multiply the terms of the binomials below. Show your work in the blanks provided. Then, add any like term
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Answer:

5x^4+7x^3-6x^2

Step-by-step explanation:

(x^{2} +2x)(5x^{2} -3x)\\\= 5x^{4}-3x^{3} +10x^{3}  -6x^{2}\\= 5x^{4}+7x^{3} -6x^{2}

7 0
2 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>

7 0
3 years ago
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