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Brums [2.3K]
3 years ago
12

Find the Circumference of the circle: (x+3)^2 + (y-5)^2=81

Mathematics
1 answer:
kondor19780726 [428]3 years ago
5 0
C=2\pi r\\\\
 (x+3)^2 + (y-5)^2=81 \Rightarrow r=\sqrt{81}=9\\
C=2\pi \cdot9\\
\boxed{C=18\pi}
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Simplify without using the calculator or the sin tables.​
katovenus [111]

Answer:

1/8

Step-by-step explanation:

sin²(π/8) − cos⁴(3π/8)

Use power reduction formulas:

1/2 (1 − cos(2×π/8)) − 1/8 (3 + 4 cos(2×3π/8) + cos(4×3π/8))

Simplify:

1/2 (1 − cos(π/4)) − 1/8 (3 + 4 cos(3π/4) + cos(3π/2))

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1/2 − √2/4 − 3/8 +√2/4

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3 years ago
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Answer:

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Step-by-step explanation:

i think that is right, i hope this helps.

6 0
2 years ago
It takes 22 hours for a hosepipe with a flow of 12 litres per minute to fill a swimming pool. How long will it take if its flow
Monica [59]

Answer:

t2 = 52.8 hours

it will take 52.8 hours if its flow is reduced to 5 litres per minute.

Step-by-step explanation:

The volume of the swimming pool can be written as;

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V = R×t

V = R1×t1 = R2×t2

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time t1 = 22 hours

Substituting the given values into equation 1;

t2 = R1×t1/R2 = 12×22/5

t2 = 52.8 hours

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3 0
3 years ago
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san4es73 [151]

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3 years ago
$43,800 at 4.8% for 2 years
Mashutka [201]
It would be: P * R * T /100
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= 420480 / 100
= 4204.80

So, your final answer is $4204.80

Hope this helps!
4 0
3 years ago
Read 2 more answers
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