3 years ago

You are driving along the coast at 45 mph. How many minutes should it take you to get to Ventura?

Mathematics

1 answer:

valkas [14]3 years ago

3 0

45 miles per hour is 3/4 mile per minute. Divide 4.8 by 0.75.

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Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

3 years ago

Selling price of shoes is rupees 420 including 5% GST.The original price of the shoes is-

Korolek [52]

Answer:

420

Step-by-step explanation:

selling price of shoes is rupees 420 including 5% GST.The original price of the shoes is-

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2 years ago

Read 2 more answers

A manufacturing company with 450 employees begins a new product line and must increase their number of employees by 18%. How man

nika2105 [10]

The answer would <span>531. You would add 18% more employees to the company so the answer is 531. I really hope this helped you. Have a nice day!</span>

4 0

3 years ago

Write the equation of the line that passes through the points (-6,8)(−6,8) and (8,8)(8,8). Put your answer in fully reduced poin

Artemon [7]

Answer:

y=8

Step-by-step explanation:

Point slope is y2-y1 over x2-x1

So its 8-(-6) over 8-8 which equals 14/0 which means the equation of the line is y=8

This is a horizontal line on 8 on the y axis

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3 years ago

Round 82.265 to the nearest whole number.

Zinaida [17]

83.................................

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3 years ago