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3 years ago

In the given figure, If the angles a and b are in the ratio 2:3, then angle cis:

Mathematics

1 answer:

tresset_1 [31]3 years ago

7 0

Answer:

figure is missing mate

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Find the sum of the convergent series 7 0.7 0.007

mafiozo [28]

$7+0.7+0.007+\cdots=7\left(1+\dfrac1{10}+\dfrac1{100}+\cdots\right)$

Let $S_n$ denote the $n$ th partial sum of the series, i.e.

$S_n=1+\dfrac1{10}+\dfrac1{100}+\cdots+\dfrac1{100^n}$

Then

$\dfrac1{10}S_n=\dfrac1{10}+\dfrac1{100}+\dfrac1{1000}+\dfrac1{10^{n+1}}$

and subtracting from $S_n$ we get

$S_n-\dfrac1{10}S_n=\dfrac9{10}S_n=1-\dfrac1{10^{n+1}}$
$\implies S_n=\dfrac{10}9\left(1-\dfrac1{10^{n+1}}\right)$

As $n\to\infty$ , the exponential term vanishes, leaving us with

$\displaystyle\lim_{n\to\infty}S_n=\dfrac{10}9$

and so

$7+0.7+0.007+\cdots=7.777\ldots=\dfrac{70}9$

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3 years ago

What is the correct definition for tan 0

Reptile [31]

$tan\theta=\frac{sin\theta}{cos\theta}\\\\\\Look\ at\ the\ picture.\\\\In\ a\ right\ triangle:\\\\sin\theta=\frac{a}{c};\ cos\theta=\frac{b}{c};\ tan\theta=\frac{a}{b}\\\\\frac{sin\theta}{cos\theta}=\frac{\frac{a}{c}}{\frac{b}{c}}=\frac{a}{c}\times\frac{c}{b}=\frac{a}{b}=tan\theta$

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3 years ago

PLEASE HELP! WILL GIVE BRAINLIEST Evaluate 6r - 8.45s when r = 12 and s = 4

Setler79 [48]

Answer:

Step-by-step explanation:

Putting values

6(12) - 8.45(4)

= 38.2

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3 years ago

The diameter and height of this cylinder are equal to the side length, S, of the cube in which the cylinder is inscribed. What i

N76 [4]

Volume of Cylinder = $\pi r^{2}h$
Based on what we're told:
r (radius) = $\frac{s}{2}$
h (height) = $s$
So:
Volume of cylinder = $\pi (\frac{s}{2})^{2}(s)$
= $\frac{1}{2}s^{3} \pi$

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3 years ago

If the first chapter of a certain book is 16 pages long and makes up 4% of the book, how many pages does the entire book have?

galina1969 [7]

If 16 pages equal to 4%, how many pages will equal to 100%?

4/100 = 16/x
4x=1600
X= 400

So total pages should be 400.

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2 years ago

In the given figure, If the angles a and b are in the ratio 2:3, then angle cis:​

In the given figure, If the angles a and b are in the ratio 2:3, then angle cis: