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IrinaVladis [17]
4 years ago
12

And what are the steps to solving?

Mathematics
1 answer:
jeka57 [31]4 years ago
7 0
The area of the window is about 42.39 square feet

1 feet =12 inches
And 6 inches = 1/2 feet
13 1/2*3.14=42.39 feet²

The area of the window is about 508.68 square inches

1 feet =12 inches
And 13 feet*12= 156 inches
156 inches + 6 inches = 162 inches
Then, 162*3.14=508.68 inches²
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Find the fifth roots of 243(cos 240° + i sin 240°).
Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336).. (Answer).

7 0
3 years ago
Need Help ASAP Hurry
erik [133]

Answer:

Step-by-step explanation:

1) Impossible, a six sided die can't have 8 if it's six sided

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3) Likely, there are more birds than other animals

4) Neither likely nor unlikely, because there is an equal amount of short straws and long straws

8 0
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