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HACTEHA [7]
3 years ago
14

What is the measure of angle A???

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
5 0

Answer:

41.5

180-14=166/4=41.5

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Convert the following complex number into its polar representation: 2-2sqrt3i
Rufina [12.5K]

Answer:

  C.  4(cos(300°) +i·sin(300°))

Step-by-step explanation:

The magnitude will be ...

  magnitude = √(2^2 +(-2√3)^2) = √(4+12) = 4

The negative imaginary part puts the angle in the 4th quadrant. The answer choice with a magnitude of 4 and a 4th-quadrant angle is ...

  4(cos(300°) +i·sin(300°))

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If you want to figure the angle, it will be ...

  angle = arctan(Im()/Re()) = arctan(-2√3/2) = arctan(-√3) = -60°

The corresponding 4th-quadrant angle is 300°.

_____

<em>Comment on answer choices</em>

Answer choice A is <em>another representation of the same number</em>. Typically, we want the magnitude to be positive in polar form, so that answer can be avoided on those grounds.

5 0
3 years ago
(4x-5y) is subtracted from (-10x-y)
julia-pushkina [17]

Answer:

-14x+4y

this is the correct answer.

4 0
3 years ago
Decrease £15890.23 by 16.5%<br> Give your answer rounded to 2 DP.
just olya [345]

Answer:

£13,268.34

Step-by-step explanation:

16.5% of £15890.23

= 16.5/100 × £15890.23

= 0.165 × £15890.23

= £2,621.88795

Therefore,

£15890.23 - £2,621.88795

= £13,268.34205

Approximate to 2 decimal place

= £13,268.34

8 0
3 years ago
Michal has 2 beads Jhon has 20 beads how much do they have togetherness
Neporo4naja [7]

Answer:

Michal and Jhon have 22 beads altogether.

Step-by-step explanation:

2 plus 20 equals 22.

4 0
3 years ago
Read 2 more answers
Needed Answers for 25 points THE RIGHT ANSWER PLEASEEEE!!!!!
sladkih [1.3K]

Answer:

Step-by-step explanation:

A.  m < b = 150

m < d =  60

m < c = 120

B. m < a = 20

m < b = 160

m < c = 110

Post Test

65 and 115

8 0
3 years ago
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