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3 years ago

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

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

Hence the common ratio of this series is $\frac{2}{3}$

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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]

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8 0

3 years ago

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Help! This is due today!

bulgar [2K]

Answer:

27π

Step-by-step explanation:

area of circle = πr^2

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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.

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Answer:

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