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nata0808 [166]
2 years ago
8

%29%29" id="TexFormula1" title="6/5 (cos(120) + isin(120)) 3/5 (cos(45) + i sin(45))" alt="6/5 (cos(120) + isin(120)) 3/5 (cos(45) + i sin(45))" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
marysya [2.9K]2 years ago
4 0

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

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Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is
swat32

Answer:

1/3

Step-by-step explanation:

Range of data set: 12 - 6 = 6

Given that there is a uniform distribution:

P(6<x<7) = 1/6

P(7<x<8) = 1/6

P(8<x<9) = 1/6

P(9<x<10) = 1/6

P(10<x<11) = 1/6

P(11<x<12) = 1/6

where x is weight loss

Probability that weight loss is more than 10 pounds:

P(10<x<11) + P(11<x<12) = 1/6 + 1/6 = 1/3

3 0
3 years ago
Set up an equation that can be used to solve the problem. Solve the equation and determine the desired value.
Nataly [62]

Answer:  $454.55

Step-by-step explanation:

Tito's weekly salary is always $ 500 per week.

But your weekly commission income depends on the sales you make. Your commissions are 55%.

If we call x the dollar amount of all sales made by Tito in a week, then his income z(x) is given by the following equation:

z (x) = 0.55x + 500

We wish that z (x) = 750.

Then we equate the equation to 750 and solve for the variable x.

0.55x + 500 = 750\\\\0.55x + 500-500 = 750-500\\\\0.55x = 250

\frac{0.55}{0.55}x = \frac{250}{0.55}

x = \$\ 454.55

Total sales made by Tito must be $454.55

7 0
3 years ago
If 75% of students and Toby's grade voted how many students are in Toby's grade
OverLord2011 [107]

Not the answer

What is the total number of students?

4 0
3 years ago
Last qestion if answered 40 points and brianlist and if right
Delicious77 [7]

Answer:

320 yards

Step-by-step explanation:

Alright, there was a lot of addition, and you're just gonna have to trust me, the answer is 320 yards

6 0
2 years ago
Rob Polanski is a tractor salesman. Last week his total sales amounted to $38,642.00, and he received $2,704.94 in commission. W
pentagon [3]
2704.94 / 38642 = 0.07 = 7%
5 0
3 years ago
Read 2 more answers
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