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3 years ago

Identify all of the radii of circle O PLEASE HELP!!

Mathematics

1 answer:

Talja [164]3 years ago

7 0

Answer:b

Step-by-step explanation:

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Shontell spends $7 a month plus $0.10 per minute. Determine whether the cost per month is proportional to the to the number of m

kirza4 [7]

Equation is 0.1x + 7

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3 years ago

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Find the multiplicative inverse of 6 + 2i

Marina CMI [18]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2774989

________________

Find the multiplicative inverse of

$\mathsf{z=6+2i}$

________

The inverse multiplicative of $\mathsf{z=a+bi}$ is

$\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\qquad\quad(a\ne 0~~and~~b\ne 0)}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\cdot \dfrac{a-bi}{a-bi}}\\\\\\
=\mathsf{\dfrac{1\cdot (a-bi)}{(a+bi)\cdot (a-bi)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-\,\diagup\hspace{-10}abi+\,\diagup\hspace{-10}abi-(bi)^2}}$

$=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot i^2}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot (-1)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2+b^2}}\\\\\\\\
\therefore~~\mathsf{\dfrac{1}{a+bi}=\dfrac{a}{a^2+b^2}-\dfrac{b}{a^2+b^2}\,i\qquad\quad\checkmark}$

________

For this question,

$\mathsf{z=6+2i}$

So,

$\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{6+2i}}\\\\\\
=\mathsf{\dfrac{6}{6^2+2^2}-\dfrac{2}{6^2+2^2}\,i}\\\\\\
=\mathsf{\dfrac{6}{36+4}-\dfrac{2}{36+4}\,i}\\\\\\
=\mathsf{\dfrac{6}{40}-\dfrac{2}{40}\,i}$

$\therefore~~\mathsf{\dfrac{1}{z}=\dfrac{3}{20}-\dfrac{1}{20}\,i}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps. =)

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3 years ago

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Oliver buys yen stamps each costing 77cents

krok68 [10]

Hi!
I think that you misspelled the question, and you mean that Oliver bought "ten", not "yen" stamps- yen is the currency of Japan.

So we have 10 stamps of 77 cents each:

10*77=770 cents

He has to pay 770 cents, or since 100 cents are one dollar, 7 dollars and 70 cents.

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2 years ago

What is 0.3,0.13,0.19 and 0.31 in order from least to greatest

wariber [46]

0.3 then 0.13 then 0.19 then 0.31
have a nice day ;)

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3 years ago

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What is the answer? Need help asap! The answer isn’t 13.9 btw. 20 points!

KIM [24]

Answer:

y = 12

Step-by-step explanation:

Looking at the large triangle

tan 30 = opposite / adjacent

tan 30 = 4 sqrt(3)/ y

Multiply each side by y

y tan 30 = 4 sqrt (3)

We know tan 30 = sqrt(3)/3

y * sqrt(3)/3 = 4 sqrt(3)

Multiply each side by 3/ sqrt(3) to isolate y

y * sqrt(3)/3 * 3/ sqrt(3) = 4 sqrt(3) * 3 /sqrt(3)

y = 12

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3 years ago

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