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3 years ago

10

Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more de

cimal than in the given radius.
4 inches

C =

2 answers:

AleksandrR [38]3 years ago

8 0

I got 25.12 but the second I did the problem I got 23.12 but then I did it again and got 25.12 so go with 25.12

xxTIMURxx [149]3 years ago

4 0

The circumference of this circle is about 25.12 inches. Hope you get it!

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<img src="https://tex.z-dn.net/?f=%5Csqrt%7B89" id="TexFormula1" title="\sqrt{89" alt="\sqrt{89" align="absmiddle" class="latex-

sammy [17]

rad 89 = 9.43398

bcuz: 9.43398^2 = 88.9 which rounds to 89

4 0

2 years ago

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Help please............

Arisa [49]

The answer is D I think, cause sum means plus and product means times

7 0

2 years ago

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Assume z = x + iy, then find a complex number z satisfying the given equation. d. 2z8 – 2z4 + 1 = 0

kodGreya [7K]

Answer: complex equations has n number of solutions, been n the equation degree. In this case:

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i11,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i101,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i191,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i281,25°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i78,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i168,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i258,75°}$

$Z=\frac{\sqrt[8]{2} }{\sqrt[4]{2}} e^{i348,75°}$

Step-by-step explanation:

I start with a variable substitution:

$Z^{4} = X$

Then:

$2X^{2}-2X+1=0$

Solving the quadratic equation:

$X_{1} =\frac{2+\sqrt{4-4*2*1} }{2*2} \\X_{2} =\frac{2-\sqrt{4-4*2*1} }{2*2}$

$X=\left \{ {{0,5+0,5i} \atop {0,5-0,5i}} \right.$

Replacing for the original variable:

$Z=\sqrt[4]{0,5+0,5i}$

or $Z=\sqrt[4]{0,5-0,5i}$

Remembering that complex numbers can be written as:

$Z=a+ib=|Z|e^{ic}$

Using this:

$Z=\left \{ {{{\frac{\sqrt{2}}{2} e^{i45°} } \atop {{\frac{\sqrt{2}}{2} e^{i-45°} }} \right.$

Solving for the modulus and the angle:

$Z=\left \{ {{\sqrt[4]{\frac{\sqrt{2}}{2} e^{i45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i45}} } \atop {\sqrt[4]{\frac{\sqrt{2}}{2} e^{i-45}} = \sqrt[4]{\frac{\sqrt{2}}{2} } \sqrt[4]{e^{i-45}} }} \right.$

The possible angle respond to:

$RAng_{12...n} =\frac{Ang +360*(i-1)}{n}$

Been "RAng" the resultant angle, "Ang" the original angle, "n" the degree of the root and "i" a value between 1 and "n"

In this case n=4 with 2 different angles: Ang = 45º and Ang = 315º

Obtaining 8 different angles, therefore 8 different solutions.

3 0

3 years ago

Which situation can be modeled by the inequality 65-8x>9

emmasim [6.3K]

Answer:

x<7

Step-by-step explanation:

65-8x>9

-8x>9-65

-8x>-56

x<7

5 0

2 years ago

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Which answer choice shows 4 + 0.3 + 0.09 written in standard form?

puteri [66]

Solution:

<u>A few changes were made:</u>

4 as 4.00.
0.3 as 0.30

<u>New equation:</u>

4 + 0.3 + 0.09 = 4.00 + 0.30 + 0.09

<u>Solving the equation:</u>

4.00 + 0.30 + 0.09
=> 4.39 (Refer to image for work)

Correct option is B.

8 0

2 years ago

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