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GarryVolchara [31]
3 years ago
13

Find the area of the regular polygon. Round your answer to the nearest hundredth.

Mathematics
2 answers:
mario62 [17]3 years ago
8 0
The area is 289.22 units squared
Inga [223]3 years ago
7 0

Answer:

area = 289.24 units²

Step-by-step explanation:

divide the polygon into 9 equal triangles

the top angle of a triangle will be 360°/9 = 40°

the sides of a triangles are both 10 units

The base of a triangle is 6.84 units

the height of a triangle is:

cos 20° = height/10

0.9397 = height/10

height = 9.4 units

The area of a triangle = 1/2(6.84)(9.4) = 32.13 units²

the polygon is made from 9 of these triangles, so 9 x 32.13 = 289.24 units²

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Simplify the expression.
kotegsom [21]

Answer:

\large\boxed{D.\ 2x^2y\sqrt[5]{7xy^3}}

Step-by-step explanation:

\sqrt[5]{224x^{11}y^8}\\\\=\sqrt[5]{(32)(7)x^{5+5+1}y^{5+3}}\\\\\text{use}\ a^na^m=a^{n+m}\\\\=\sqrt[5]{(2^5)(7)x^5x^5x^1y^5y^3}\\\\\text{use}\ \sqrt[n]{ab}=\sqrt[n]{a}\cdot\sqrt[n]{b}\\\\=\sqrt[5]{2^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{x^5}\cdot\sqrt[5]{y^5}\cdot\sqrt[5]{7xy^3}\\\\\text{use}\ \sqrt[n]{a^n}=a\\\\=2\cdot x\cdot x\cdot y\cdot\sqrt[5]{7xy^3}\\\\=2x^2y\sqrt[5]{7xy^3}

6 0
3 years ago
1/2k - 1/4 = 1/3 what is k ?
Minchanka [31]

Answer:

7/6

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
2) Solve the linear equation 2(3x + 2) = 2x - 1+x
alexandr402 [8]
Solving for x right?
2) 6x + 4 = 3x - 1
6x - 3x = -1 - 4
3x = -5
x = - 5/3

3) x - 9 = 3/5x
5(x-9) = 3x
5x - 45 = 3x
2x = 45
x = 45/2
6 0
2 years ago
Kyra was at soccer practice. she blocked 55% of the goals that were kicked at her during a team drill. ashley scored two of the
Minchanka [31]

Total kicks that were attempted = 40

Goals blocked by Kyra = 55%;

Goals which could not be blocked by Kyra = 100 - 55 = 45%

Goals made during team drill = 18

Let total kicks attempted be 'n';

Therefore;

(18/n) × 100 % = 45 %

18/n = 45/100;

n = 1800/45;

n = 40

To learn more about this; visit: brainly.com/question/18522423

#SPJ4

7 0
1 year ago
Please help me with this math problem, urgent please
cestrela7 [59]

Answer:

y = -3.5x + 15

Step-by-step explanation:

Your slope-intercept equation is always y = mx + b

Using this formula, we need to find slope first: m = (y2-y1) / (x2-x1)

Step 1: Find slope

m = (1-8) / (4-2)

m = -7/2

Step 2: Plug in into slope-intercept form

y = -3.5x + b

Step 3: Find <em>b </em>(Plug in a coordinate given)

1 = -3.5(4) + b

1 = -14 + b

b = 15

Step 4: Combine it all together

y = -3.5x + 15

And you have your final answer.

3 0
3 years ago
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