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Minchanka [31]
2 years ago
7

(2 5/6)(6)+(-1 1/2)(1.5)-(1/16)

Mathematics
1 answer:
Jet001 [13]2 years ago
4 0
Now I’m ngl my math might be wrong but I ended up with 1131/48
As a decimal I got 23.6
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<img src="https://tex.z-dn.net/?f=6%2F5%20%28cos%28120%29%20%2B%20isin%28120%29%29%203%2F5%20%28cos%2845%29%20%2B%20i%20sin%2845
marysya [2.9K]

The product is equal to:

\frac{18}{25}(cos(165) + i*sin(165))

<h3>How to solve the product?</h3>

Remember that we can write a complex number in polar form as:

R*e^{i*a} = R*(cos(a) + i*sin(a))

Then the given product:

\frac{6}{5}*(cos(120) + i*sin(120))*\frac{3}{5}*(cos(45) + i*sin(45))

can be rewritten to:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})

Now is easier to solve the product:

(\frac{6}{5}*e^{i*120})*(\frac{3}{5}*e^{i*45})\\\\= \frac{6}{5} *\frac{3}{5} *e^{i*(120 + 45)}\\\\= \frac{18}{25}*e^{i*165}\\\\=  \frac{18}{25}(cos(165) + i*sin(165))

If you want to learn more about complex numbers:

brainly.com/question/10662770

#SPJ1

4 0
2 years ago
Which expressions are equivalent to <br><br> 2 ln a + 2 ln b - ln a?
ycow [4]

Answer:

Choices 2, 3, and 5  are correct.

Step-by-step explanation:

Complete question is:

Check all that apply.

1. ln ab² - ln a

2. ln a + 2 ln b  

3. ln a² + ln b² - ln a

4. 2 ln ab

5. ln ab²

ANSWER:

The given expression is : 2 ln a + 2 ln b - ln a

It simplifies to: ln a + ln b² = ln ab²

Checking the given options.

1. ln ab² - ln a   = ln (ab²)/a = ln b²

  FALSE

2. ln a + 2 ln b = ln ab²

  TRUE

3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²

  TRUE

4. 2 ln ab = ln a²b²

  FALSE

5. ln ab²

  TRUE

4 0
3 years ago
Find the area of a trapezoid with bases 14 cm and 18 cm and height 10 cm.
4vir4ik [10]
You should add the two bases and muliply them with the height and then divide with 2
(14+18)×10÷2=160
8 0
3 years ago
Between the time iko woke up and lunch time the temerature rose by 11°.Then by the time he went to bed ,the temperature dropped
konstantin123 [22]
G(x)=X+11 where y is the total temperature after it rose & x is the temperature when Iko woke up. F(x)= g(x) -14 . Where f(x) is the temperature after it dropped 14 and g(x) is the temperature it was by lunch time.
3 0
2 years ago
Nicki has 30 pencils. for every green pencil, she has 5 purple pencils. how many pencils of of each color could she have
Hatshy [7]

Answer:


Step-by-step explanation:


(1) P = 5G


(2) G + P = 30


Substituting (1) into (2) gives:


G + 5G = 30


6G = 30


G =5


So there are 5 green pencils.


Now using that in (1) gives us P = 5 x 5 = 25


So there are 5 green pencils and 25 purple pencils.

6 0
2 years ago
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