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3 years ago

Which is equivalent to i^3? A) -1 B) 1 C) 0 D) i E) -i

Mathematics

1 answer:

Amanda [17]3 years ago

5 0

Answer:

E) $-i$

Step-by-step explanation:

Extended Information on the Complex Number System

$\sqrt{-1} = i \\ -1 = {i}^{2} \\ -i = {i}^{3} \\ 1 = {i}^{4}$

I am joyous to assist you anytime.

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Help,anyone can help me do quetion.

3241004551 [841]

Answer:

(a) x = $128^{o}$

(b) x = $74^{o}$

Step-by-step explanation:

A. sum of angles in a polygon = (n - 2) 180

The polygon given is an irregular pentagon, where n = 5

So that;

sum of angles in a pentagon = (5 - 2) 180

= 3 x 180

= $540^{o}$

Thus,

x + 90 + 76 + 110 + 136 = $540^{o}$

x + 412 = $540^{o}$

x = $540^{o}$ - 412

x = $128^{o}$

B. The polygon given is an irregular pentagon, where n = 5.

Let the supplementary angle with angle 38 be represented by y,

y + 38 = 180

y = 180 - 38

= $142^{o}$

y = $142^{o}$

Let the supplementary angle with x be represented by z, so that;

z + 72 + 120 + 100 + 142 = $540^{o}$

z + 434 = $540^{o}$

z = $540^{o}$ - 434

= $106^{o}$

z = $106^{o}$

But, x + z = $180^{o}$

Then;

x + $106^{o}$ = $180^{o}$

x = $180^{o}$ - $106^{o}$

= $74^{o}$

x = $74^{o}$

7 0

3 years ago

Which expression shows the result of applying the distributive property to 12(5y+4) ?

brilliants [131]

12(5y+4)
= 12(5y) + 12(4)
= 60y + 48

hope it helps

6 0

3 years ago

Use the properties of exponents to write an equivalent expression that is a product of unique

jolli1 [7]

Ummm I just need to answer questions sorry!!!

5 0

3 years ago

Solve 2x – 7 > 11.

BaLLatris [955]

Answer:

x > 9

Step-by-step explanation:

2x - 7 > 11

2x > 18

x > 9

5 0

3 years ago

A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta

kiruha [24]

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

4 0

3 years ago