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mariarad [96]
2 years ago
10

What is the area of a regular nonagon (9 sides) with side length of 15 cm and apothem of 20.6 cm? Round the answer to the neares

t tenth.
Mathematics
1 answer:
Triss [41]2 years ago
5 0
We know that

<span>The nine radii of a regular Nonagon divides into 9 congruent isosceles triangles
</span>therefore
[the area of <span>a regular nonagon]=9*[area of isosceles triangle]

</span>[area of isosceles triangle]=b*h/2------> 15*20.6/2----> 154.5 cm²
so
[the area of a regular nonagon]=9*[154.5]------> 1390.5 cm²

the answer is
1390.5 cm²

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5(x+2/3)=3x-2/3The answer is-2.Please show work so I can understand how to solve.
kramer
5(x + 2/3) = 3x - 2/3.....distribute the 5 through the parenthesis
5x + 10/3 = 3x - 2/3 ....subtract 3x from both sides
5x - 3x + 10/3 = 3x - 3x - 2/3...combine like terms
2x + 10/3 = - 2/3 ....subtract 10/3 from both sides
2x + 10/3 - 10/3 = -2/3 - 10/3...simplify
2x = - 12/3....reduce
2x = - 4....divide both sides by 2
x = -4/2....reduces to -2

or this way...
5(x + 2/3) = 3x - 2/3.....distribute
5x + 10/3 = 3x - 2/3....multiply by lowest common denominator of 3
15x + 10 = 9x - 2 ....subtract 9x from both sides
15x - 9x + 10 = -2 ...subtract 10 from both sides
6x + 10 - 10 = -2 - 10...simplify
6x = -12.....divide both sides by 6
x = -12/6 reduces to -2
6 0
2 years ago
Use the equation to predict how many glasses with 9
cluponka [151]

Answer:

Bella can sell 13.78 glasses with 9 pieces of bling.

Step-by-step explanation:

Given the function

y=1.36x+1.54

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Given that the number of pieces of bling = x = 9

Thus,

y = 1.36x+1.54

 = 1.36(9)+1.54

 =12.24+1.54

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Thus, Bella can sell 13.78 glasses with 9 pieces of bling.

8 0
2 years ago
For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or
Tasya [4]

Step-by-step explanation:

1. 1/-[infinity] = 0

2. 0 - [infinity] = -∞

3. 0[infinity] = 0

4. [infinity][infinity] = IND

5. 0−[infinity] = -∞

6. [infinity]−[infinity] = ∞

7. [infinity]−e = ∞

8. 1[infinity] = ∞

9. π−[infinity] = -∞

10. π[infinity] = ∞

11. 1 −[infinity] = -∞

12. [infinity]1 = ∞

13. [infinity]−[infinity] = ∞

14. 0/[infinity] = IND

15. [infinity]0 = 0

16. 00 = 0

17. 10 = 10

18. 1 - [infinity] = -∞

19. [infinity]/0 = DNE

20. inf - inf = ∞

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2 years ago
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Alexus [3.1K]

Answer:

Initial value = 14.7

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Step-by-step explanation:

Given the linear function :

P(d) = 0.445d + 14.7

The linear equation above takes the general. Form of a slope - intercept equation :

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c = intercept , which is the intial value of y when x = 0

Thus using the above information ;

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The rate of change is the slope value = 0.445

8 0
2 years ago
7. Given x = -x^2-3x+10
beks73 [17]

Step-by-step explanation:

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6 0
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