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velikii [3]
3 years ago
15

The area of the polygon is 48 mi2. What is the length of side a? miles

Mathematics
1 answer:
AlekseyPX3 years ago
4 0

Answer:

Length of side a = 4.30 miles

Incomplete question:

The area of the regular polygon is 48 mi2. What is the length of side a? miles

Step-by-step explanation:

The number of sides of sides of the polygon is not given, so we will assume the polygon is an hexagon as shown in the attached image;

Given;

Area = 48 mi^2

Area of an hexagon using side a can be written as;

A = (3/2)√3×a^2

Making a the subject of formula

a = √(2/3√3 ×A)

Substituting the values

a = √(2/3√3 ×48)

a = √(32/√3)

a = 4.30 miles

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Ksju [112]

Answer:

-9

Step-by-step explanation:

-9 x -9 x -9 = -729

-9 x -9 = 81 x -9 = -729

8 0
3 years ago
Read 2 more answers
Find the measure of one interior angle for the following regular polygon
shusha [124]

Answer:

Step-by-step explanation:

I am assuming that by "interior" angle you do not mean the central angle.

This is a 10-sided polygon, a decagon. That means that there are 10 triangles that can extend from the center, with their sides being equal to the radii of the decagon. If we extract one of these triangles we can find what the interior angle is. The vertex angle measures 360/10 which is 36.

Split this triangle in half from the vertex to the base, creating a right triangle. The vertex angle is also split in half, making this angle (the vertex angle is the one at the top of the triangle) 18 degrees. We already know that one angle inside this right triangle is 90 (definition of a right triangle) and to find the other one, we apply the Triangle Angle-Sum Theorem:

180 - 18 - 90 = 72 degrees. That is the measure of the base angle that is NOT the right angle, obviously.

4 0
3 years ago
A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, appro
Ahat [919]
The answer would be $89,790. You take 164+328. To get 492. The you divided 492 by 2. To get 246. This is the average hamburgers made in a day. The you take that time 365. to get how much money is made in a year.
3 0
3 years ago
Can someone please help me I really need help help me thank you
harkovskaia [24]

Answer:

<h2><em><u>A to C = 25 </u></em></h2><h2><em><u>A to B = 13 </u></em></h2><h2><em><u>C to B = 37 </u></em></h2><h2><em><u></u></em></h2>

Step-by-Step Explanation:

<em><u>Perimeter</u></em> = 75

<em><u>Sides:</u></em>

2x + 3

3x + 4

2x - 9

<h2 /><h2><em><u>1. Equal the sides added together to the perimeter</u></em></h2>

75 = 2x + 3 + 3x + 4 + 2x - 9

<h2><em><u>2. Simplify Like terms</u></em></h2>

2x + 3 + 3x + 4 + 2x - 9  = 7x - 2

<h2><em><u>3. Place the equation back together</u></em></h2>

75 = 7x - 2

<h2><em><u>4. Isolate the variables and numbers</u></em></h2>

75 = 7x - 2

+2        +2

77 = 7x

<h2><em><u>5. Simplify the equation</u></em></h2>

77 = 7x

/7     /7

<h2><em><u>11 = x </u></em></h2>

<h2><em><u>6. Substitute the value of x into the side lengths.</u></em></h2>

2x + 3 = 2(11) + 3 = 22 + 3 = <em><u>25</u></em>

3x + 4 = 3(11) + 4 = 33 + 4 = <em><u>37</u></em>

2x - 9 = 2(11) - 9 = 22 - 9 = <em><u>13</u></em>

5 0
3 years ago
Compare using &lt;, &gt;, = 5+(-4)____-4 + (-7)
nikitadnepr [17]

Good morning,

Answer:

<h2>5+(-4) > -4 + (-7)</h2>

Step-by-step explanation:

5+(-4) = 5 - 4 = 1

-4 + (-7) = -(4+7) = -11

since  1 > -11 then 5+(-4) > -4 + (-7)

:)

4 0
3 years ago
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