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MrRa [10]
4 years ago
8

Simplify powers of i. ASSIGNMENT Simplify each of the following powers of i. I^32

Mathematics
1 answer:
algol [13]4 years ago
5 0

Answer:

i^15=-i

i^32=1

1^99=-i

i^22=-1

hope this helps :)

im sorry for the late answer, i put all the answers incase some one needs them, have a nice day!

Step-by-step explanation:

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Find the radius and center of the circle<br> 17+x^2+y^2-8x-6y=0
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Answer:

Centre: (4,3)

Radius: 2sqrt(2)

Step-by-step explanation:

h = -8/-2 = 4

k = -6/-2 = 3

4² + 3² - 17 = r²

r² = 8

r = sqrt(8) or 2sqrt(2)

sqrt: square root

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3 years ago
The bake sale earned $83.48 during the 4 hours it was open. What is the unit rate?
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Consider the expression 635 , 943 ÷ 77 635,943÷77. Complete the equation below by estimating the dividend and divisor in the exp
Margarita [4]

Answer:

See below

Step-by-step explanation:

<u>We can estimate the dividend and divisor as follows:</u>

  • 635943 ÷ 77 =
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Estimate is 8000

5 0
3 years ago
There are 125 people in a sport centre. 59 people use the gym. 70 people use the swimming pool. 55 people use the track. 25 peop
klemol [59]

Answer:97/125

Step-by-step explanation:

“As illustrated in the Venn diagram,

We let

U=[The total number of people at the sport center]

This implies that,

n(U)=125

G=[Those who use the gym]

This implies that,

n(G)=59

P=[Those who use the pool]

This implies that,

n(P)=70

T=[Those who use the track]

This implies that,

n(T)=55

a=[Those who use the gym only]

This implies that,

n(a)=59-(6+11+19)=59-36=23

b=[Those who use the pool only]

This implies that,

n(b)=70-(6+19+24)=70-49=21

c=[Those who use the track only]

This implies that,

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8 0
3 years ago
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A palm tree is supported by two guy wires as shown in the diagram below. Which trig expression can be used to find the height on
Volgvan

Answer:

D. tan(30^\circ+45^\circ) is the correct answer.

Step-by-step explanation:

The given situation can be represented as a figure attached in answer area.

B is the base of tree.

C is the base of wires.

A and D are the end of 2 wires supporting the tree.

\angle DCB =45^\circ\\\angle ACB =75^\circ\\

Here, we need to find the Height of the tree which is represented the by side AB.

and we are given that bases of wires and tree base are at a distance 4 ft.

i.e. side BC = 4 ft

If we look at the \triangle ABC, we are given the base BC and the \angle ACB, and the perpendicular is to be find out.

We can use trigonometric identity:

tan\theta =\dfrac{Perpendicular}{Base}

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Hence, D. tan(30^\circ+45^\circ) is the correct answer.

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