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GaryK [48]
3 years ago
5

Find [4(cos15° + isin15°)]^3 and express it in a + bi form.

Mathematics
1 answer:
arsen [322]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

Using De Moivre's theorem

Given

[ 4(cos15° + isin15° ) ]³, then

= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]

= 64 (cos45° + isin45° )

= 64 (\frac{\sqrt{2} }{2} + \frac{\sqrt{2} }{2} i )

= 64 (\frac{\sqrt{2} }{2} (1 + i) )

= 32\sqrt{2} (1 + i)

= 32\sqrt{2} + 32\sqrt{2} i

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DedPeter [7]

Respuesta:

Los 47.85m

Explicación paso a paso:

Altura máxima = u²sin²Ф / 2g

Dado

velocidad u = 40 m / s

Ф = 50 °

g = 9,81 m / s²

Sustituir'

H = 40²sin²50 / 2 (9,81)

H = 1600 (0,7660) ² / 19,62

H = 1600 (0,5868) /19,62

H = 938,8096 / 19,62

H = 47,85 m

Por lo tanto, la altura máxima es de 47,85 m.

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3 years ago
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6 0
2 years ago
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Philip rolls a stranded number cube 24 times. which is the best prediction for the number of times he will roll a number that is
timofeeve [1]
Divide 24 by 6 because that is how many numbers are on the cube which would equal 4
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3 years ago
Which of the following could be the equation for the line of best fit?
tia_tia [17]

your answer is D.

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3 years ago
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5 positive integers are arranged in ascending order, as follows:
Olegator [25]

Answer:

x = 16

Step-by-step explanation:

Since the numbers are in ascending order, x is the number with the highest value here.

From the arrangement, we can see that the median (the middle number) is the third number which is 9

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3 years ago
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