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MariettaO [177]
3 years ago
15

Write the complex number 1 +i/1 -i into polar form​

Mathematics
1 answer:
IRINA_888 [86]3 years ago
7 0

Answer:

cos(pi/2) + i sin (pi/2)

Step-by-step explanation:

(1+i)/ (1-i)

Multiply top and bottom by (1+i)

(1+i) (1+i)/ (1-i)(1+i)

Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i

Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2

2i/2 = i

the magnitude is (0^2+1^2) = 1

The angle is tan^-1( 1/0) = pi/2

cos(pi/2) + i sin (pi/2)

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Please answer this correctly without making mistakes
Monica [59]

Answer:

g=56

Step-by-step explanation:

In similar shapes, corresponding sides are always in the same ratio.

For example,

if the sides in triangle 1 were a and b, and triangle 2 had side lengths c and d, c and a had the same ratios, and b and d had the same ratios

and triangle 1 was similar to triangle 2, the ratio between the sides of the triangles would be

a/c, which is also equal to b/d

What that means is that in this situation, 8/5=g/35.

8/5=g/35

Cross multiply.

(8)*(35)=g*(5)

280=5g

g=56

4 0
3 years ago
The members of a health spa pay annual membership dues of $300 plus a charge of $2 for each visit to the spa. Let Y denote the d
Ganezh [65]

Answer:

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

Step-by-step explanation:

Given:

Annual fixed due = $300

Variable cost = $2 per visit

X = number of visits in a year

Y = total yearly cost.

Y = annual cost + variable cost

Y = $300 + $2×X

Y = 300 + 2X

Y( in dollars)

It is a functional relationship because a change in the value of X results in a corresponding change in the value of Y. And does not involve any uncertainty.

8 0
3 years ago
What is the value of ▲ in the equation shown?<br><br> 8 x 4 = ( ▲ x 7) - (▲ x 3)<br><br> = _____
aleksandrvk [35]
The answer is 8 because
 8 times 4 = 32
 8 times 7 =56
 8 times 3 =24
 56 minus 24 = 32
5 0
3 years ago
Read 2 more answers
Which expression is equivalent to 8/15?<br> A. 8÷1/5<br> B. 8÷15<br> C. 15÷1/8<br> D. 15÷8
Eddi Din [679]

Answer:B

Step-by-step explanation:

3 0
3 years ago
Angelica calculated the distance between the two points shown on the graph below. (1st picture)
Alex Ar [27]
Use the distance formula to find the value of the side lengths.
d=√((x1-x2)²+(y1-y2)²

d of side AC is 6

d of side CB is 10 

Angela's use of the Pythagorean Theorem of 10²+6²+c² is incorrect; she put the right values in the wrong spots, the formula needed is:
6²+10²=c²

Option C- Angelica's side lengths were too long.
7 0
3 years ago
Read 2 more answers
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