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oksano4ka [1.4K]
3 years ago
7

Q7 Q22.) How far is the ball from the center of the​ green?

Mathematics
2 answers:
Drupady [299]3 years ago
6 0

{c}^{2}  =  {a}^{2}  +  {b}^{2} - 2ab \cos(c)  \\  {x}^{2}  = {130}^{2}  +  {25}^{2}  - 2(130)(25) \cos(105)  \\ {x}^{2} = 16900 + 625 - 6500 \cos(105)  \\  {x}^{2}  = 17525 + 1682.3 \\  {x}^{2}  = 19207.3 \\ x =  \sqrt{19207.3}  \\ x = 138.59

Answer : 138.6 yards after rounding off

Hope this helps. - M
BARSIC [14]3 years ago
5 0
See the attached picture:

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for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

\frac{a_{1} }{1 - r} = \frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } = \frac{120 \times 6}{5} = 144.

Step-by-step explanation:

i) from the given series we can see that the first term is a_{1 } = 120.

ii) let the common ratio be r.

iii) the second term is 20 = 120 × r

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iv) the third term is \frac{10}{3} = 20 × r

    therefore r = \dfrac{10}{3} ÷ 20 = \dfrac{1}{6}

v) for an infinite geometric series the formula for the sum of the infinite geometric series when the common ratio is less than one is given by

\frac{a_{1} }{1 - r} = \frac{120}{1 - \frac{1}{6} } = \frac{120}{\frac{5}{6} } = \frac{120 \times 6}{5} = 144.

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