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3 years ago

1. Solve the triangle. A = 46°, a = 31, b = 27

Mathematics

1 answer:

iogann1982 [59]3 years ago

4 0

Answer:

The third angle would be 42 degrees

Step-by-step explanation:

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Answer:

1∠22.5°, 1∠112.5°, 1∠202.5°, 1∠292.5°

Step-by-step explanation:

A root of a complex number can be found using Euler's identity.

<h3>Application</h3>

For some z = a·e^(ix), the n-th root is ...

z = (a^(1/n))·e^(i(x/n))

Here, we have z = i, so a = 1 and z = π/2 +2kπ.

Using r∠θ notation, this is ...

i = 1∠(90° +k·360°)

and

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i^(1/4) = 1∠(22.5° +k·90°)

For k = 0 to 3, we have ...

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for k = 2, third root = 1∠202.5°

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1 year ago

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous

zysi [14]

<u>Answer:</u>

x = 4, it is an extraneous solution.

<u>Step-by-step explanation:</u>

Translating the given statement, we get the following equation:

$3\sqrt{(x+5)} =-9$

Dividing both sides by 3, we get:

$\sqrt{(x+5)} =-3$

Now we will take square on both sides of the equation to get rid of the square root to get:

$(\sqrt{(x+5)} )^2=(-3)^2$

So we are left with:

$x+5=9\\\\x=9-5\\\\x=4$

Therefore, the solution is 4.

Also, it is an extraneous solution because the equality is not met by substituting x = 4 in the original equation:

$3\sqrt{(4+5)} =-9$

$3\sqrt{(9)} =-9$

$3(3) =-9$

$9\neq -9$

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3 years ago

What is the equation of the line shown in this graph? 20pts

Sliva [168]

X = -2

where the X co-ordinate always stays the same

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3 years ago

1. Solve the triangle. A = 46°, a = 31, b = 27 ​

1. Solve the triangle. A = 46°, a = 31, b = 27