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Rom4ik [11]
2 years ago
7

Please help, I really desperate

Mathematics
1 answer:
Paladinen [302]2 years ago
8 0

Answer:

V candle ≈ 196.9 cm³

Step-by-step explanation:

Volume of cone = ( π·r²·h)/3

V candle = V big cone -V small cone

V candle = [ π·4²·(8+5) - π·2²·5]/3

V candle = ( π·16·13 - π·4·5)/3

V candle = (π·16·13 - π·4·5)/3

V candle = π·(208 - 20)/3

V candle = π·188/3

V candle = 196.8731396

V candle ≈ 196.9 cm³

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Solve the system of equations 7x+10y=36 y=2x+9
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Answer:

x = -2

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Step-by-step explanation:

Given two equations

1. 7x + 10y = 36

2. y = 2x + 9

Substitute 2x + 9 for y in equation 1.

We have

7x + 10y = 36

7x + 10(2x + 9) = 36

Distribute 10 into (2x + 9)

We have

7x + 10 x 2x + 10 x 9 = 36

7x + 20x + 90 = 36

27x + 90 = 36

Subtract 90 from both sides to eliminate 90 on the left side

27x + 90 - 90 = 36 - 90

27x = -54

Divide both sides by 27 to isolate x

27x/27 = -54/27

x = -2

Now substitute -2 into either equation to get y

Using equation 2, we have

y = 2x + 9

= 2 x -2 + 9

= -4 + 9

= 5

x = -2

y = 5

Check

7(-2) + 10(5) = 36

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