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AleksandrR [38]
3 years ago
13

7-4i divided by 2+i how to solve it?

Mathematics
1 answer:
cupoosta [38]3 years ago
8 0
\cfrac{7-4i}{2+i}\\\\ = \cfrac{(7-4i)(2-i)}{(2+i)(2-i)} \\\\ =\cfrac{14-7i-8i-4}{4+1} \\\\= \cfrac{10-15i}{5} \\\\= \cfrac{5(2-3i)}{5} \\\\=2-3i
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Given qr = 4.8, m angle r space equals space 80 degree , and m angle p equals 42 degree ... if you want to find pq.... a. should
Lady bird [3.3K]

By applying the law of sines, the length of side PQ is equal to 7.1 units.

<h3>What is the law of sines?</h3>

The law of sines is also referred to as sine law and it can be defined as an equation that relates the side lengths of a triangle to the sines of its angles.

<h3>How to calculate the length of PQ?</h3>

Mathematically, the law of sines is given by this equation:

\frac{sinA}{a} =\frac{sinB}{b} =\frac{sinC}{c}

Substituting the given parameters into the formula, we have;

\frac{sin80}{PQ} =\frac{sin42}{4.8} \\\\\frac{0.9848}{PQ} =\frac{0.6691}{4.8}\\\\0.6691PQ = 4.7270\\\\PQ = 4.7270/0.6691

PQ = 7.1 units.

Read more on law of sines here: brainly.com/question/7922954

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4 0
2 years ago
Jonathan’s class has 30 boys. Of the students in his class, 60% are girls. How many girls are in Jonathan’s class?
raketka [301]

Answer:

45 girls

Step-by-step explanation:

  • Remark
  • There are only 2 choices for gender. So if the class is 60% girls, the there must be 100 - 60 = 40% for the boys.
  • But we are told that the boys are 30 in number.
  • Let x = the total number of students.

Solution

  • 40/100 * x = 30              Change the % to a decimal
  • 0.4 x = 30                       Divide both sides by 0.4
  • 0.4 x / 0.4 = 30 / 0.4      Do the division
  • x = 30/0.4
  • x = 75 students in total

Formula

Total of Boys and Girls = Number of boys + number of girls.

Givens

  • Total = 75
  • Number of boys = 30

Solution II

  • 75 = x + 30                 Subtract 30 from each side
  • 75 - 30 = x +30 - 30
  • 45 = x
  • There are 45 girls in the class.
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3 years ago
If you place the north pole of a magnet near the north pole of another magnet, what do you except to happen
slavikrds [6]
They will repel each other
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3 years ago
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If the probability that it is going to rain tomorrow is 0.27,
ArbitrLikvidat [17]

Answer:

0.73 or 73%

Step-by-step explanation:

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3 years ago
Find the slope from the table.
Schach [20]

Answer:

slope = 4/1 or 4

Step-by-step explanation:

(2, 14)

(1, 10)

Formula = \frac{y^2-y^1}{x^2-x^1}

14-10 over 2 -1

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