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AURORKA [14]
3 years ago
5

Rewrite the expression as a complex number in standard form a+bi

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

\textbf{$a + bi = 2 + i$}\\

Step-by-step explanation:

\textup{Given:}\\$$\frac{4 + \sqrt{16 - (4)(5)}}{2}$$\\\textup{This can simplified as:}\\\vspace{6mm}\\

$ \frac{4 + \sqrt(-4)}{2}$\vspace{6mm}\\$\implies \frac{4 + 2i}{2}$\vspace{5mm}\\$\implies 2 \left(  \frac{2 + i}{2} \right)$\vspace{5mm}\\$$\therefore a + bi = 2 + i$$

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A school dance committee has 14 volunteers. Each dance requires 3 volunteers at the door, 5 volunteers on the floor, and 6 float
siniylev [52]

There are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned from 14 volunteers.

Given that a school dance committee has 14 volunteers and each dance requires 3 volunteers at the door, 5 volunteers on the floor and 6 on floaters.

We are required to find the number of ways in which the volunteers can be assigned.

Combinations means finding the ways in which the things can be choosed to make a new thing or to do something else.

nC_{r}=n!/r!(n-r)!

Number of ways in which the volunteers can be assigned is equal to the following:

Since 2 have not been assigned so left over volunteers are 14-2=12 volunteers.

Number of ways =14C_{12}

=14!/12!(14-12)!

=14!/12!*2!

=14*13/2*1

=91 ways

Hence there are 91 such ways in whih the volunteers can be assigned if two of them cannot be assigned.

Learn more about combinations at brainly.com/question/11732255

#SPJ1

5 0
2 years ago
What is the measure of each angle?
mariarad [96]
(2x+3)+(x-6)= 180 [straight angle]
2x+x+3-6=180
3x=183
x=61
(All measure in degree)

Hope this can help.
7 0
3 years ago
Read 2 more answers
Mathwiz wya?? pic below i need help asap
n200080 [17]

Answer:

Step-by-step explanation:

First, you gotta work out the hypotenuse of ABC, which is AC.

To do that, you need to figure out the scale factor between the two right-angled triangles. You can do that for this question because this is a similar shapes question.

12.5/5 = 2.5

The scale factor length between the two triangles is 2.5.

You can use 2.5 now to work out AC, so AC would be 13 x 2.5, which gives 32.5.

Now that you've got the hypotenuse and BC of ABC, you can use Pythagoras's theorem to work out the length of AB

Pythagoras's theorem = a^2 + b^2 = c^2

a = BC = 12.5

b = AB = we need to work this out

c = AC (the hypotenuse we just worked out) = 32.5

12.5^2 + b^2 = 32.5^2 Let's both simplify and rearrange this at the same time so that we have our b on one side.

b^{2} = 1056.25 - 156.25

b = \sqrt{(1056.25 - 156.25)}

b = \sqrt{900}

b = AB = 30  We've found b or AB, now we can work out the perimeter of ABC.

Perimeter of ABC = AB + BC + AC

= 30 + 12.5 + 32.5

= 75  Here's the perimeter for ABC.

8 0
2 years ago
Construct a 2 ×2 Matrix whose elements aij are given by a ij = i+j
beks73 [17]

Answer:

the required matrix is can be given as

8 0
2 years ago
A box of fruit has three times as many nectarines as grapefruit. Together there are 64 pieces of fruit. Write the equation that
Basile [38]

Answer:

4g = 64

Step-by-step explanation:

Let n = the number of nectarines

and g = the number of grapefruit

We have two conditions that must be satisfied to represent the situation:

(1)         n = 3g

(2) n + g = 64

If you need one equation, we can substitute (1) into (2) and get

4g = 64

7 0
3 years ago
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