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kaheart [24]
3 years ago
14

Write the complex number in the form a + bi. 5/2(cos 150° + i sin 150°)

Mathematics
2 answers:
postnew [5]3 years ago
8 0

Answer:

It's actually this

Step-by-step explanation

(told it to convert to rectangular form)

Semmy [17]3 years ago
6 0
1) cos (150°)=- cos(180°-150°) = - cos(30°) and  - cos30° =  - √(3) / 2
sin(150°) = sin(180°-150°) =sin30. and sin30° = 1/2

Then : 5/2(cos 150° + i sin 150°) becomes : 5/2{(-√(3) /2 + I (1/2)]

OR 5/4( - √3 + i)
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Translate the following word phrase into an algebraic expression: nine times the difference of 5 and y
Ira Lisetskai [31]

Answer:

9*(5-y)

Step-by-step explanation:

In this problem, we are expected to write/express the given statement in algebra notation. that is using mathematical expression letters and symbols to  express word problem

Hence: nine times the difference of 5 and y

1. the difference of  5 and y= (5-y)

2. 9*(5-y)

Hence the expression is given as 9*(5-y)

3 0
3 years ago
I need help with 10,11,12,13 plz it's due tomorrow
tangare [24]

10. GCF is 3

11. GCF is 4

12. GCF is 16

13. That the numbers are prime

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4 0
3 years ago
A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent. If these alterations decre
Roman55 [17]
It is d I hope I helped
4 0
4 years ago
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Given  f(x)=2x+4 and g(x)=x2−4, determine the value of (5) + (−3).
Irina18 [472]

Answer:

None of the above, f(5) + g(-3) = 19.


Step-by-step explanation:

Given f(x)=2x+4 and g(x)=x2−4, determine the value of (5) + (−3). Assume that is supposed to be f(5) + g(-3).


f(5) + g(-3) = 2×5 + 4 + (-3)^2 - 4

= 10 + 4 - 4 + (-1)^2(3)^2

= 19


5 0
3 years ago
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A triangle has three sides: a, b, and c. Side a = 72 feet, and side b = 154 feet, and side c = 170 feet. True or false: this tri
Juliette [100K]

Answer:

True

Step-by-step explanation:

If the triangle was a right angled triangle then we can prove it using the Pythagoras theorem: c² = a² + b²

c is the largest side and a and b are the two smaller sides of the triangle.

So if this is true then √72² + 154² should be 170:

170² = 72² + 154²

28900 = 5184 + 23716

28900 = 28900

So we have proved using Pythagoras theorem that the triangle is a right angled triangle.

8 0
3 years ago
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