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irina1246 [14]
3 years ago
12

PLEASE HELP Show work

Mathematics
1 answer:
dsp733 years ago
3 0

Answer:

\tan(24)  =  \frac{x}{13}  \\ 0.445228685308 \times 13 = x \\ x = 5.787972909010 \\ x = 5.788

\tan(68)  =  \frac{27}{x}  \\2.475086853416 \times x = 27 \\ x = 27 \div 2.475086853416 \\ x = 10.90870809754 \\ x = 10.909

\tan(0)  =  \frac{5}{12 }  \\  \tan(0)  = 0.41666663066666 \\ 0 =  {76}^{0} 30

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The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
if Janet spent 15 hours reading a 1,200 page book how many pages did Janet read per minute , round answer to decimal
Naddik [55]
1.3 pages first you take 15 * by 60 because 60 min. in one hour and then divide 1200 by 900 you get 1.3


8 0
3 years ago
Read 2 more answers
Help! This is due today!
bulgar [2K]

Answer:

27π

Step-by-step explanation:

area of circle = πr^2

= π × 6^2

= 36π

36/4

= 9

36 - 9

= 27π units squared

4 0
2 years ago
Susan divides the fraction LaTeX: \frac{5}{8}5 8by LaTeX: \frac{1}{16}1 16. Her friend Robyn divides LaTeX: \frac{5}{8}5 8by LaT
marissa [1.9K]

Given:

Susan divides the fraction \dfrac{5}{8} by \dfrac{1}{16}.

Her friend Robyn divides \dfrac{5}{8} by \dfrac{1}{32}.

To find:

The quotient of Susan and Robyn.

Solution:

Susan divides the fraction \dfrac{5}{8} by \dfrac{1}{16}.

\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{5}{8}\times \dfrac{16}{1}

\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=\dfrac{80}{8}

\dfrac{\dfrac{5}{8}}{\dfrac{1}{16}}=10

So, Susan's quotient is 10.

Her friend Robyn divides \dfrac{5}{8} by \dfrac{1}{32}.

\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=\dfrac{5}{8}\times \dfrac{32}{1}

\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=5\times 4

\dfrac{\dfrac{5}{8}}{\dfrac{1}{32}}=20

So, Robyn's quotient is 20.

Since 20>10, therefore, Robyn will get greater quotient.

3 0
3 years ago
What is 2x7 <br>what is 2x2 <br>what is 2x4​
GalinKa [24]

Answer:

14

4

8

Step-by-step explanation:

6 0
3 years ago
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