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1 year ago

What is the approximate length in inches of the radius of the circle

Mathematics

1 answer:

Mice21 [21]1 year ago

6 0

Given

The area of the circle is 1200 square inches.

To find the radius of the circle.

Explanation:

It is given that,

The area of the circle is 1200 square inches.

That implies,

$\begin{gathered} Area\text{ }of\text{ }the\text{ }circle=\pi r^2 \\ \pi r^2=1200 \\ r^2=\frac{1200}{\pi} \\ r^2=381.972 \\ r=\sqrt{381.972} \\ r=19.5 \\ r=20inches \end{gathered}$

Hence, the radius of the circle is 20 inches.

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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,

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

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3 years ago

I need help writing a 5 paragraph unit circle essay

Scilla [17]

A 5 unit circle essay would be about whatever you would want it to be and this is no question this is cheating

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3 years ago

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Answer:

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ki77a [65]

Answer:

It is an exponential function

Step-by-step explanation:

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2 years ago

7×300=7× blank hundreds

VladimirAG [237]

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