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Ahat [919]
1 year ago
8

Ummi is setting up an aquarium in the shape shown here. She fills it

Mathematics
1 answer:
ZanzabumX [31]1 year ago
8 0

Answer:

7.5 ft3

Step-by-step explanation:

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Find the cube roots of 27(cos 330Á + i sin 330Á). Please help c:
Mashcka [7]
Use formula
e^{ix}=\cos{x}+\sin{x}

\sqrt[3]{27(\cos{330^o}+i\sin{330^o})} 
\\\sqrt[3]{27e^{i330^o} }
\\  \sqrt[3]{27}  \sqrt[3]{e^{i330^o}} 
\\ \sqrt[3]{3^3} \sqrt[3]{e^{i110^o\times 3}} 
\\ \sqrt[3]{3^3} \sqrt[3]{(e^{i110^o})^ 3}} 
\\ 3e^{i110^o}
\\3(\cos{110^o}+i\sin{110^o})

Since 330^o=360^o+330^o=690^o
 and 330^o=2\times 360^o+330^o=1050^o there are two more solutions:
1. 3(\cos{230^o}+i\sin{230^o})
2. 3(\cos{350^o}+i\sin{350^o})
4 0
2 years ago
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Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio
loris [4]
Hi !

<span><u>Judy built a rectangular patio that is 9 meters wide and has a perimeter of 40 meters what is the length of Judy’s patio ?</u></span>

l=9\;m\\L=x

So\;Perimeter=2(9+x)=18+2x=40\;m\\\\18+2x=40\\2x=40-18\\2x=22\\\\x=\dfrac{22}{2}\\\\\boxed{x=L=11}

The lenght of Judy's Patio is 11 meters.
3 0
2 years ago
Arnold took out a loan of 195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have
kolbaska11 [484]

Answer:

25155000

Step-by-step explanation:

<h3>we know intrest (i):-PTR/100</h3>

by formula

  1. <u>195000×30×4.3%</u>

100

2. 5850000<u>×4.3</u>

<u>100</u>

100

3. 25155000

3 0
2 years ago
Henry is painting a house. He placed a 24 foot ladder 15 feet away from the base of the house so that it leaned up against the h
Misha Larkins [42]

Answer:

the answer is 3.2 i think

4 0
2 years ago
PLS HELPPPP IM DOING THIS NOW AND I WANT THIS RIGHT PLSSSS For two years, two samples of fish were taken from a pond. Each year,
tatiyna

Answer:

the answer is B

Step-by-step explanation:

Your welcome.

5 0
2 years ago
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