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Nina [5.8K]
2 years ago
7

Convert the polar coordinates (3, -5 pi/3). to rectangular coordinates.

Mathematics
1 answer:
beks73 [17]2 years ago
6 0

Answer:

See below

Step-by-step explanation:

x = 3 cos (-5pi/3)   =  1.5

y = 3 sin (-5pi/3) = 2.598

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<img src="https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B80%7D%20" id="TexFormula1" title=" \sqrt[3]{80} " alt=" \sqrt[3]{80} " ali
Marianna [84]

Start by decomposing the number inside the root into primes

Then group the terms into cubes if possible

\begin{gathered} 80=2\cdot2\cdot2\cdot2\cdot5 \\ 80=2^3\cdot2\cdot5 \\ 80=10\cdot2^3 \end{gathered}

rewrite the root

\sqrt[3]{80}=\sqrt[3]{10\cdot2^3}

then cancel the terms that are cubes and bring them out of the root

\sqrt[3]{80}=2\sqrt[3]{10}

7 0
1 year ago
Ratio of two complementary angles is 3:7. What's the measures of both angles
Advocard [28]
The total 'parts' of the ratio is 10 (3+7).
Complementary angles add to 90 degrees.
Divide 90 by 10 and you get 9.
Each 'part' is 9.
3:7 * 9 = 27:63
One angle is 27 degrees and the other is 63 degrees.
3 0
3 years ago
Calculate the volume of each diagrams.
wariber [46]

The volume of the solid objects are 612π in³ and 1566πcm³

<h3>Volume of solid object</h3>

The given objects are composite figures consisting of two shapes.

The volume of the blue figure is expressed as;

Volume = Volume of cylinder + volume of hemisphere

Volume = πr²h + 2/3πr³

Volume =  πr²(h + 2/3r)

Volume =  π(6)²(13+2/3(6))

Volume = 36π(13 + 4)

Volume = 612π in³

For the other object

Volume = Volume of cylinder + volume of cone

Volume = πr²h + 1/3πr²h

Volume =  π(9)²(15) + 1/3π(9)²(13)

Volume=  81π (15+13/3)
Volume= 1566πcm³

Hence the volume of the solid objects are 612π in³ and 1566πcm³

Learn more on volume of composite figures here: brainly.com/question/1205683

#SPJ1

8 0
2 years ago
ASAP <br>What is the domain?
WARRIOR [948]

real numbers hope it helps

7 0
3 years ago
Mark got 487 questions wrong out of 9374 questions. What is his grade?
kakasveta [241]

Answer:

5%

Step-by-step explanation:

487/9374=0.05

0.05 would translate to 5%

Hope this helps! :)

6 0
2 years ago
Read 2 more answers
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