3 years ago

May I please have help with my math ?! Thank you

Mathematics

1 answer:

viva [34]3 years ago

6 0

Answer:

surface area is=2πr×r+πdh

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About 1.15 million people live in a circular region with a population density of about 18,075 people per square kilometer. Find

Tanzania [10]

Step 1

<u>Find the total area</u>

Total area=(1,150,000/18,075)=63.62 square kilometer

The area of a circle is equal to

$A=\pi * r^{2} \\ 63.62= \pi * r^{2}\\r=\sqrt{(63.62/\pi)} \\r=4.5\ km$

therefore

the answer is

$4.5\ km$

7 0

3 years ago

Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)

vekshin1

$\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}$