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OverLord2011 [107]
2 years ago
14

Which of the following is the conjugate of 10 – 3i?

Mathematics
2 answers:
wariber [46]2 years ago
7 0
10 + 3i ...........................
ipn [44]2 years ago
3 0

we know that

The conjugate of a complex number is the number with equal real part and imaginary part equal in magnitude but opposite in sign

so

In this problem we have

10-3i

the conjugate is equal to--------> 10+3i

therefore

<u>the answer is the option</u>

10+3i

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Tickets for the basketball game were sold at $4.00 for adults and $2.50 for students. If 320 tickets were sold for a total of $1
makkiz [27]

The problem based on condition are solved using the unknown variables. The number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

Given information-

The price of the tickets for the basketball game for adults is $4.00.

The price of the tickets for the basketball game for students is $2.50.

<h3>Variables</h3>

Variables are the unknown and the value of the variables depend on the other variables in the equation. The above problem can be solved defining the variables from the given condition.

Let the total tickets purchased by the students is<em> x</em> and the total tickets porches by the adults is <em>y.</em>

As the total tickets sold for the game is $320. Thus,

\begin{aligned}\\&#10;x+y&=320\\&#10;y&=320-x\\&#10;\end                    .......1

Now as the total money with ticket selling is $1100. Thus,

2.5x+4y=110

Keep the value of u from the equation 1 in the above equation. We get,

\begin{aligned}&#10;2.5x+4(320-x)&=1100\\&#10;2.5x+1280-4x&=1100\\&#10;-1.5x&=1100-1280\\&#10;-1.5x&=-180\\&#10;x&=\dfrac{180}{1.5} \\&#10;x&=120\\&#10;\end

Thus the number of tickets sold to the student are 120.

Keep this value in equation 1,

y=320-x\\&#10;y=320-120\\&#10;y=200

Thus the number of tickets sold to the adults are 200.

Hence the number of tickets sold to the student are 120 and the number of tickets sold to the adults are 200.

brainly.com/question/787279

8 0
2 years ago
Read 2 more answers
What is the greatest common factor of 72x^2y and 18xy?
ELEN [110]
The GCF is the number or variables you can get out of a a term or multiple terms, when you get it out you have to be able to multiply it again and get the same terms as before for example the GCF of here is 18xy because both numbers can be divided in 18 and they both share 1 x and 1 y in common... Now divide to get your answer put the GCF outside the parenthesis and the numbers divided inside

18xy(4x + 1) if you do distributive property and multiply it you will get 72x2y+18xy see they match so the GCF of "18xy" is correct....

Hope this helped
5 0
3 years ago
Read 2 more answers
Interest of $1,632 with principal of $16,000 for 306 days (ordinary interest) results in a rate of​
SIZIF [17.4K]

Answer: 12%

Step-by-step explanation:

8 0
2 years ago
A 3 cm x 3 cm rectangle sits inside a circle with radius of 4 cm.
goblinko [34]

Answer:

41.24cm²

Step-by-step explanation:

See attachment for the figure

First is to find area of rectangle

Given:

Length of rectangle 'l'= 3cm

breadth of rectangle 'b'= 3cm

Area of rectangle= l x b= 3 x 3=> 9cm²

Next is to find the area of the circle

Given:

radius 'r'= 4cm

Area of circle= πr² => π4² =>50.24cm²

Required:

area of the shaded region=?

area of the shaded region=  area of the circle - area of the rectangle

area of the shaded region= 50.24 -9 =>41.24cm²

Therefore, area of the shaded region is 41.24cm²

8 0
3 years ago
What is 15.2 rounded to the nearest tenth
tatyana61 [14]
It would stay the same. Hope this helps :)
7 0
2 years ago
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