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3 years ago

The real part of the complex number –5 + 3i is

2 answers:

5 0

A complex number is a number of the form a + bi, where i = and a and b are real numbers. For example, 5 + 3i, - + 4i, 4.2 - 12i, and - - i are all complex numbers. a is called the real part of the complex number and bi is called the imaginary part of the complex number.

Genrish500 [490]3 years ago

3 0

I'm pretty sure the real part of the number would be -5 because the i with the 3 means its not a real number making -5 the real number

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explain the transformation needed to convert the following data to a linear data set {(1, 0.98), (2, 1.39), (3, 1.71), (4, 1.98)

xz_007 [3.2K]

The given numbers are a set of points. To convert this into a linear data set, you can do data fitting. The easiest way to do this is using a software. In this case, I used MS Excel. You plot the points and set a linear trendline. The linear equation for this set of data is: y = 0.286x + 0.784

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3 years ago

Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

GREYUIT [131]

If $u$ and $v$ are supplementary angles, then

$u+v=180^{\circ}~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $\dfrac{7}{13}:$ 

$\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}$

Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}$

From $\mathbf{(i)},$ we find the measure of $u:$

$u=180^{\circ}-v\\\\ u=180^{\circ}-117^{\circ}\\\\ \boxed{\begin{array}{c} u=63^{\circ} \end{array}}$

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3 years ago

Olly drove 56 km from Liverpool to Manchester.

yawa3891 [41]

Answer:

57.073 km/h approx.

Step-by-step explanation:

Total distance from Liverpool to Sheffield

= 56 + 61 km

= 117 km

Time from Liverpool to Manchester

=56 km ÷ 70 km/h

=0.8 hours

Time from Manchester to Sheffield

=75 mins

=1.25 hours

Total time = 0.8 h + 1.25 h

= 2.05 hours

Average speed from Liverpool to Sheffield

= 117 ÷ 2.05

= 57.073 km /h

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2 years ago

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Answer:

Step-by-step explanation:

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Goshia [24]

Answer:

the diameter of the tire is

5.23

Step-by-step explanation:

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3 years ago

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