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Yakvenalex [24]
2 years ago
10

I’m struggling with this question , geometry

Mathematics
1 answer:
just olya [345]2 years ago
7 0

The exterior angles of a regular <em>n</em>-gon add up to 360º; here <em>n</em> = 9, so each exterior angle has measure (360/9)º = 40º.

Corresponding interior angles are supplementary to exterior angles (they add to 180º), so each interior angle has measure (180 - 40)º = 140º.

Bisect this angle by connecting any given vertex to the center of the nonagon. These connections split up the nonagon into 9 congruent isosceles triangles, each of which have base angles of 70º.

Split each triangle in half to make a total of 18 70º-20º-90º triangles with height <em>h</em> and base <em>b</em>. Then

sin70º = <em>h</em>/7  ==>  <em>h</em> = 6.578

sin20º = <em>b</em>/7  ==>  <em>b</em> = 2.394

and each right triangle has an area of approximately 1/2 <em>b</em> <em>h</em> = 7.874.

Multiply this by 18 to get the area of the nonagon: 141.7.

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Find the first 4 terms of:<br> Σ ()<br> N=1<br> (9 n - 6).<br> Help please
Hunter-Best [27]

A1 = 9 × 1 - 6 = 3

A2 = 18 - 6 = 12

A3 = 27 - 6 = 21

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Step-by-step explanation:

Σ ( 9n - 6 ) , n = 1

An = general term.

let Σ (An) = Σ (9n-6)

An = 9n-6

to determine the terms, plug in the value of n into the general term(An)

If you're asked for the 1st term then n = 1

if you're asked for the 2nd term then n = 2. and so forth.

To find the 1st 4 terms, just plug in 1 up to 4 into n bit by bit.

An = 9n - 6

A1 = 9 × 1 - 6 = 3

A2 = 18 - 6 = 12

A3 = 27 - 6 = 21

A4 = 36 - 6 = 30. done.

write the terms from 1 to 4 like this :

{ A1, A2, A3, A4 } = { 3, 12, 21, 30 }.

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2 years ago
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Greeley [361]
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How do you factor 3x^2-7x-2
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The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

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