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andre [41]
3 years ago
7

PLEASE HELP!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
Nookie1986 [14]3 years ago
4 0
The answer is 2 3/10. how do you not know this
mamaluj [8]3 years ago
3 0

Answer:

Hence, the number of hours he did work on both days is:

2\dfrac{3}{10}hour

Step-by-step explanation:

It is given that:

Clay worked 1\dfrac{1}{5}hour yesterday.

i.e. in simple fraction the number of hours he worked yesterday is:

1\dfrac{!}{5}=\dfrac{1\times 5+1}{5}=\dfrac{6}{5}hours

He worked 1\dfrac{1}{10}hour today.

i.e. the number of hours he worked today in simple fraction terms is:

1\dfrac{1}{10}=\dfrac{1\times 10+1}{10}=\dfrac{11}{10}hours

The number of hours he worked on both days is:

Number of hours he worked yesterday+Number of hours he worked today.

=\dfrac{6}{5}+\dfrac{11}{10}=\dfrac{6\times 2+11}{10}=\dfrac{12+11}{10}=\dfrac{23}{10}

which could also be represented as:

2\dfrac{3}{10}hour

Hence, the number of hours he did work on both days is:

2\dfrac{3}{10}hour

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Which expression is a cube root of -1+i√3?
Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

Z=(r,\theta)

Then the cubic roots of Z are

\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)

\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)

\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)

We are given the complex number in rectangular components

Z=-1+i\sqrt{3}

Converting to polar form

r=\sqrt{(-1)^2+(\sqrt{3})^2}=2

\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}

It's located in the second quadrant, so

\theta=120^o

The number if polar form is

Z=(2,120^o)

Its cubic roots are

\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)

\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)

\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)

Converting the first solution to rectangular coordinates

z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)

The correct option is C.

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3 years ago
HHHHHHHHHHHHEEEEEEELLLLLLLPPPPPPPPPPPP
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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