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valentina_108 [34]
3 years ago
15

What is the measure of angle c?A. 30°B. 70°C. 110°D. 40°​

Mathematics
2 answers:
krek1111 [17]3 years ago
7 0

Answer:

B - 70

Step-by-step explanation:

The angles in a triangle always add up to 180.

70+40=110

180-110=70

raketka [301]3 years ago
4 0

Answer:

70 degrees

Step-by-step explanation:

  • All triangles have 3 angles that add up to 180 degrees
  • How to solve:
  • 40 + 70 + a = 180 // make equation
  • 110 + a = 180 // add like terms
  • <u>- 110       - 110 </u> // subtract 110 on both sides
  •         a = 70
  • <em>70 degrees</em>

Hope this helps :)

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Step-by-step explanation:

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L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-2\times\dfrac{y^3}{4}\times y^{-3}}dy}

L=\int_{1}^{2}{\sqrt{1+(\dfrac{y^3}{4})^2+(y^{-3})^2-\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4})^2+(y^{-3})^2+\dfrac{1}{2}}dy}

L=\int_{1}^{2}{\sqrt{(\dfrac{y^3}{4}+y^{-3})^2}dy}

L= \int_{1}^{2}{(\dfrac{y^3}{4}+y^{-3})dy}

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L=(\dfrac{y^4}{16}+\dfrac{y^{-2}}{-2})_{1}^{2}

Put the limits

L=(\dfrac{2^4}{16}+\dfrac{2^{-2}}{-2}-\dfrac{1^4}{16}-\dfrac{(1)^{-2}}{-2})

L=\dfrac{21}{16}

Hence, The arc length is \dfrac{21}{16}

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