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Makovka662 [10]
3 years ago
13

If z= 3 + 4i, what is the value of |z| ?​

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0

Answer:

5

Step-by-step explanation:

z= 3 + 4i \\  \\  |z|  =  \sqrt{ {3}^{2}  +  {4}^{2} }  \\  \\  =  \sqrt{9 + 16}  \\  \\  =  \sqrt{25}  \\  \\ |z|   = 5

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Sedaia [141]

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3 years ago
Read 2 more answers
Find the area of the regular octagon.
user100 [1]

Answer:

236.59mm²

Step-by-step explanation:

The formula for the area of a regular polygon is 1/2ap, with <em>a</em> being the apothem and <em>p</em> being the perimeter.

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Next, we have to find the apothem (the perpendicular segment from the center of the polygon to one of the sides).

First, create a right triangle on an of the polygon's sides, where the hypotenuse is equal to the radius of the polygon, one of the legs is the apothem, and the other leg is equivalent to half of the side.

Next, using the polygon angle formula (n-2(360)/n), we can get the base angle of the triangle, 1/2(135), or 67.5.

We can use this angle and some trigonometry to find the the apothem.

First, use SOHCAHTOA to figure out if you will use sine, cosine, or tangent (in this case, tangent).

Next, set up an equation using the tangent of 67.5 to find the apothem - tan67.5 = a/3.

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Now that you have the apothem, plug it into the area formula to get A = 1/2(56)(3.5tan67.5) and solve!

(28)(3.5tan67.5)

(28)(8.4497)

236.59mm²

4 0
2 years ago
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