All categories

3 years ago

(3-6i)-(4+2i)-(-7+i)=

Mathematics

2 answers:

Nastasia [14]3 years ago

7 0

tamaranim1 [39]3 years ago

5 0

<span>(3-6i)-(4+2i)-(-7+i)

Answer is = 6-9i</span>

You might be interested in

Volume of prisms and cylinders

Mumz [18]

Answer:

7)V=16257.74

8)V= 226.19

9)V=12.56

10)V=6283.18

11)r=6.631

12)h=69.05

13)V=35328.78

Step-by-step explanation:

Volume of cylinder is given by formula:

V=πr^2h

where r is radius and h is height of cylinder

r=15

h=23

Putting values in formula:

V= π(15)^2(23)

=5175π

=16257.74

diameter=6

r=d/2=3

height =?

Finding height by pythagoras theorem:

h^2= 10^2-6^2

=100-36

=64

h=8

Putting values in formula:

V=π(3)^2(8)

= 72π

= 226.19

r= 2

h=1

Putting values in formula:

V=π(2)^2(1)

=4π

= 12.56

10)

diameter =20

r=d/2=10

h=20

Putting values in formula:

V=π(10)^2(20)

=2000π

=6283.18

Now finding the missing measures:

11)

Given V=210π

h = 15

r=?

Putting values in formula:

210π=π(r)^2(15)

r^2= 210π/15

=14π

r= 6.631

12)

V=197.82

r=3

h=?

Putting values in formula:

197.82=π(3)^2(h)

h= 197.82/9π

= 69.05

13)

r=21

h=25.5

Putting values in formula:

V= π(21)^2(25.5)

=11245.5π

=35328.78 !

8 0

4 years ago

The amount of money (in dollars) Kyle makes after working x hours is

leonid [27]

Sorry I just really need to answer a lot of questions

5 0

3 years ago

Erica plotted the three towns closest to her house on a graph with town AA at (9, 12), town BB at (9, 7) and town CC at (1, 1).

Sliva [168]

To compute the distance between the points, we can apply the distance formula as shown below.

$d = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2} }$

In which x₁ and x₂ are the x-coordinates and y₁ and y₂ are the y-coordinates of the two points. Thus, applying this with the segments AABB, AACC, and BBCC, we have

$\overline{AABB} = \sqrt{(9-9)^{2} + (12-7)^{2}} = 5$
$\overline{AACC} = \sqrt{(9-1)^{2} + (12-1)^{2}} = \sqrt{185}$
$\overline{BBCC} = \sqrt{(9-1)^{2} + (7-1)^{2}} = 10$

Now that we have the lengths of all the sides of ΔAABBCC, we can find the missing angles using the Law of Cosines.

Generally, we have

$c^{2} = a^{2} + b^{2} - 2abcosC$

or

$C = cos^{-1} (\frac{a^{2} + b^{2} - c^{2}}{2ab})$

Hence, we have

$\angle AA = cos^{-1} (\frac{(\sqrt{185})^{2} + 5^{2} - 10^{2}}{2(5)(\sqrt185)})$
$\angle BB= cos^{-1} (\frac{5^{2} + 10^{2} - (\sqrt{185})^{2}}{2(5)(10)})$
$\angle CC= cos^{-1} (\frac{10^{2} + (\sqrt{185})^{2} - 5^{2}}{2(5)(\sqrt{185})})$

Simplifying this, we have

$\angle AA = 36.03^{0}$
$\angle BB = 126.87^{0}$
$\angle CC = 17.10^{0}$

Thus, from this, we can arrange the angles from smallest to largest: ∠CC, ∠AA, and ∠BB.

Answer: ∠CC, ∠AA, and ∠BB

3 0

3 years ago

How do you tell if a number is divisible by 8

eimsori [14]

If the number is a multiple of 8, it is divisible by 8.
The multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88... etc.

If a number is very big, let's say 176, see if you can deduct 80 from it. For this, 176 can be deducted by 80 twice, which will give you a remainder of 16 (I.e. 176 - 80 - 80 = 16". If this remainder (i.e. 16) is divisible by 8, 176 is divisible by 8.

For even larger numbers, try deducting 800, or even 8000.

Let's say you're trying to see if 2464 is divisible by 8. In this case, 2464 can be deducted by 800 thrice (I.e. 2464 - 800 - 800 - 800 = 64), and 64 is its remainder. Since 64 is divisible by 8, 2464 is divisible by 8.

Hope this helps! :)

5 0

4 years ago

Which of the following equations represents a line that passes through the points ( − 3 , − 3 ) and (−2,0)?

jek_recluse [69]

y=3x+6

Use

y=mx+b

to calculate the equation of the line, where

represents the slope and

represents the y-intercept.

Slope is equal to the change in

over the change in

, or rise over run.

3 0

3 years ago