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Archy [21]
2 years ago
10

Find the value of X

Mathematics
1 answer:
devlian [24]2 years ago
8 0

Answer:

x = 14

Step-by-step explanation:

  • By tangent secant theorem

  • x^2 = 7(7+21)

  • \implies x^2 = 7(28)

  • \implies x ^2=196

  • \implies x=\pm\sqrt{196}

  • \implies x=\pm 14

  • x can not be negative

  • \implies x=14
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A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
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Answer:  \bold{S_{\infty}=\dfrac{3125}{2}=1562.5}

<u>Step-by-step explanation:</u>

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}

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Lastly, Use the Infinite Geometric Sum Formula to find the sum:

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