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WARRIOR [948]
3 years ago
9

Identify the area of a regular decagon with side length 2 m rounded to the nearest tenth

Mathematics
1 answer:
Zina [86]3 years ago
5 0

Answer:

Area = 14.8

Step-by-step explanation:

Area = 5/2 + a^2*sqrt(5 + 2 sqrt(5) )

This formula given the side length, calculates the area.

a = 2

Area = 2.5 + 2^2 * sqrt(5 + 2*sqrt(5) )

Area = 2.5 + 4 * sqrt(5 + 2*2.236)

Area = 2.5 + 4* sqrt(5+ 4.4721)

Area = 2.5 + 4*sqrt(9.4721)

Area = 2.5 + 4*3.0776

Area = 2.5 + 12.3107

Area = 14.8107

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If (x+yi)(1-3i)=10 <br> Then x+y=
Naily [24]

Answer:

x + y = 4

Step-by-step explanation:

Given that, (x + iy)(1 - 3i) = 10, then we have to calculate x + y.

Now, (x + iy)(1 - 3i) = 10

⇒ x(1 - 3i) + iy(1 - 3i) = 10

⇒ x - 3xi + iy - 3yi² = 10

⇒ (x + 3y) + i(y - 3x) = 10

Now, comparing the real and imaginary part of both sides we get,

(x + 3y) = 10 ............. (1) and

y - 3x = 0

⇒ y = 3x ............... (2)

Solving equations (1) and (2) we get

x + 3(3x) = 10

⇒ x = 1

So, y = 3x = 3

Therefore, x + y = 1 + 3 = 4 (Answer)

7 0
3 years ago
Find the total surface area of this cone, leaving your answer in terms of pi
salantis [7]

Answer:

Surface area = 70π cm²

Step-by-step explanation:

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Surface area = 70π cm²

6 0
3 years ago
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Sergeeva-Olga [200]
Eight hundredths
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MATH URGENT
maks197457 [2]

{x}^{2}   + 4x - 12 = 0 \\  {x}^{2}  + 4x + 4 - 4 - 12  = 0\\   {(x + 2)}^{2}  - 16 = 0 \\ x =   -   +  \sqrt{16}  - 2 \\ x =   + \:  or - 4 - 2 \\ x =  - 6 \:  \: x = 2
- subtract the 12 from both sides so that it becomes the last constant term in the quadratic equation which should now equal 0.
- take the 4x
- half the coefficient of 4 (2)
- square it (4)
- add it to the equation (+4)
- subtract it from the equation (-4)
- factorise the square (x+2)^2 expands to (x^2 + 4x + 2) as {a+b}^2={a^2 + ab + ba + b^2}
- now the equation is in turning point form.
- to find x, add 16 and square root 16 and (x+2)
- subtract 2 from positive or negative 4 (as -4^2 and 4^2 both equal 16).
- This should give you two values for x, -6 and 2.


I really hope that this helped :)
7 0
3 years ago
DON'T SCROLL plss help me I beg u guysss!!!
andrew-mc [135]

Answer: Option 4 i think. But i m still having confusions between option 4 and 2.

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2 years ago
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