are c and d the correct answer for this question?

9514 1404 393

Answer:

  0.40+2.20i

Step-by-step explanation:

To clear the denominator of its imaginary part, multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{3+4i}{2-i}=\dfrac{(3+4i)(2+i)}{(2-i)(2+i)}=\dfrac{6-4+3i+8i}{4+1}=\dfrac{2+11i}{5}\\\\=\boxed{0.40+2.2i}[/tex]

_____

Additional comment

This "multiply by the conjugate" is also used to clear radicals from the denominator. It takes advantage of the factoring of the difference of squares:

  (a -b)(a +b) = a² -b²

Answer:

15. 41.68 inches

16. 78.79°

Step-by-step explanation:

It's a little hard to explain in just text, but I'll try.

15 ================

This is assuming that "length" means the base of the ramp, not the top. Imagine/draw a right triangle with a 21° angle at the bottom and a height of 16 inches. We have the angle, the opposite side, and we need to find the adjacent side that is the base. Use tangent (soh cah toa) to find this.

[tex]tan(21)=\frac{16}{x} \\xtan(21)=16\\x=\frac{16}{tan(21)}[/tex]

x ≈ 41.68

16 ================

From the angle between the ladder and the ground, the ground is adjacent and the ladder is the hypotenuse. Given 2 sides and no angle, we'll use inverse cosine.

[tex]cos^{-1}(\frac{7}{36})=x\\[/tex]

x ≈ 78.79°

Answer:

3 or 4

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Hope this helps! Have a great day ahead. Tell me if I'm wrong :) Stay Safe <3

Answer:

1

Step-by-step explanation:

they are both co-prime (numbers that have a common factor of only 1)

Answer:

If we assume that everyone in the group is an owner, we would have

[tex]20*2=40[/tex] legs.

[tex]64-40=24[/tex] legs

Therefore, we need 24 more legs.

These 24 additional legs can be made from the difference of legs between the owners and dogs.

In this case, dogs have [tex]4-2=2[/tex] more legs than an owner.

24 ÷ 2 = 12.

There are 12 dogs in the group.

Answer:

c

Step-by-step explanation:

Line EG bisects angle DEF

Answer:

A

Step-by-step explanation:

6x+3y=33 <=> 2x+y=11<=>4x+2y=22 (1)

4x+y=15 (2)

(1)-(2) <=> y=7

Answer:

A x = 2, y = 7

Step-by-step explanation:

6(2)+3(7)= 33

4(2)+(7)=15

Answer:

She can travel for 10 days

Step-by-step explanation:

first you do 1,250 divided by 1,250 will equal 0. Then you do the other side 1,700- 1,250 =450. Then you do 450 divided by 45 and you will get 10

Hope this helps you out!

Answer:

6^4

Step-by-step explanation:

6^2*6^9/6^7

6^(2+9)/6^7

6^(11-7)

6^4 or 1296

Answer:

3 and 2

Step-by-step explanation:

3+2=5

3-2=1

Hope this helps!!

Answer:

Step-by-step explanation:

There are 2 pillars, two right prisms of dimensions 6x6x8 ft, two right pyramids of dimensions 6x6x4 ft on top of prisms.

There will be 4 faces of each painted.

Area of each prism face:

Total area of prism faces:

Slant height of pyramid faces:

Area of each face of pyramid:

Total area of pyramid faces:

Total area to be painted:

Cost of paint:

Total cost painted = 44,856

Answer in the picture.

Answer: 18 fliers

Step-by-step explanation:

1/3 of 63 is 21.  Thus, the remaining fliers are 42.

4/7 of 42 is 24.  Thus, the remaining fliers are now 18.

Hope it helps :)

Hello, hope you are having a remarkable day. :)

These are the multiples of 5:

5, 10, 15, 20, 25, 30, 35...

These are the factors of 5:

1, 5

As we can see, the number 5 is both a multiple of 5 and a factor of 5.

Hope it helps. Ask me if you have any queries.

~An emotional teen who helps others with joy

Good luck.

The volume of a cone is (1/3)πr2h.

In this problem r=2h or h=(1/2)r

Hence V = (1/6)πr3

dV/dt = (1/2)πr2 dr/dt

With this information you should now be able to answer the question. Remember the relation between r and h!

never mind i was right

im also so sorry if you dont understand or its not one of the answers

Answer:

t a sand and gravel plant, sand is falling off a conveyor, and onto a conical pile at a rate of 10 cubic feet per minute. The diameter of the base of the cone is approximately three times the altitude. At what rate is the height of the pile changing when the pile is 15 feet high?

Step-by-step explanation:

Answer:

y = |x+6|

Step-by-step explanation:

To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.  

If we are shifting 6 units to the left, h = -6.  Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|

Answer:

B

Step-by-step explanation:

It's a right triangle, so the pythagorean theorem will be used a lot.

First, find the side length on the left.

25^2 = 7^2 + y

y = 24

Now, knowing that 7 - 3 = 4 (the smaller side length), I can use this theorem again to find x.

4^2 + 24^2 = x^2

x = [tex]\sqrt{592}[/tex]

Just need to simplify it a little farther...

592 / 16 = 37, so B must be the answer.

Step-by-step explanation:

kruitika- 42

Gordorn-31

so krutila was 11 when they gave birth to Gordon

she was 23 when they gave birth to pip

The youngest of them is pip so pip is =19

Answer:

p=(180.50-19.50)/23

Step-by-step explanation:

Answer:

6 ft/s

Hope I helped

Answer:

1. Alternate exterior: None

2. Corresponding angles: None

3. Same side exterior angles: <1 and <5

4. Alternate interior: <3 and <4

5. Same side interior: <2 and <4

Step-by-step explanation:

The number of times the actual diameter is larger than the model is 50 times.

A tire has the shape of a circle. The diameter is line that goes through the center of a circle and divides the circle into two.

In order to determine how many times larger the actual diameter is greater than the model, the actual diameter would be divided by the diameter of the model.

5.29 x 10² ÷ 10.668

529 ÷ 10.668

= 49.6

= 50 times

Please find attached an image of a circle. To learn more, please check: https://brainly.com/question/13590859

Answer:

1.5

Step-by-step explanation:

Numbers in the interval are 0, 1, 2 and 3

Average Value = (0+1+2+3)/4=1.5

The average value of the numbers in the interval {0,3} is 1.5.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.

The average of the numbers is calculated as,

Average Value = (0+1+2+3)/4

Average Value =1.5

Therefore, the average value of the numbers in the interval {0,3} is 1.5

To know more about an average follow

https://brainly.com/question/20118982

#SPJ2

Answer:

[tex] \\ • \: \frac{1}{8} + (2 - 4 \times 7)[/tex]

[tex] \\ = \frac{1}{8} + (2 - 28)[/tex]

[tex] \\ = \frac{1}{8} + ( - 26)[/tex]

[tex] \\ = \frac{1}{8} - 26[/tex]

[tex] \\ = \frac{1 - 208}{8} [/tex]

[tex] \\ = \frac{ - 207}{8} [/tex]

[tex] \\ = - 25 \frac{7}{8} \: \: or \: \: - 25.875[/tex]

[tex] \\• \: 20 \times 3 - 7(8 \times 9)[/tex]

[tex] \\ = 20 \times 3 - 7 \times 72[/tex]

[tex] \\ = 60 - 504[/tex]

[tex] \\ = - 444[/tex]

[tex] \\ • \: 23 - ( \frac{4}{2} ) + 7 - 4[/tex]

[tex] \\ = 23 - 2 + 7 - 4[/tex]

[tex] \\ = 23 + 7 - 2 - 4[/tex]

[tex] \\ = 30 - 6[/tex]

[tex] \\ = 24[/tex]

[tex] \frak {\overbrace{\underbrace{{{hope \: it \: helps}}}}}[/tex]

Answer:

Step-by-step explanation:

[tex](x_{1} ,y_{1}) = (-3 , -4) \\\\(x_{2},y_{2}) = (-7 ,16)\\\\\\Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{16-[-4]}{-7-[-3]}=\dfrac{16+4}{-7+3}\\\\=\dfrac{20}{-4}\\\\=-5[/tex]

(1 , -3) & ( 1 , 0)

The x-coordinates in the points are unchanged. So, the line is parallel to y-axis.

Slope is undefined.

3) (0,2)  , (4 , 0)

[tex]Slope =\dfrac{0-2}{4-0}=\dfrac{-2}{4}=\dfrac{-1}{2}[/tex]

Answer: 12.4 + 1.1x + 2.2x^2 + 2.3x^3

Step-by-step explanation:

add the like variables