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3 years ago

The answer is 18...................................,...............

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

the equation is 6x3...............................................................

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Write the complex number 1 +i/1 -i into polar form

IRINA_888 [86]

Answer:

cos(pi/2) + i sin (pi/2)

Step-by-step explanation:

(1+i)/ (1-i)

Multiply top and bottom by (1+i)

(1+i) (1+i)/ (1-i)(1+i)

Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i

Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2

2i/2 = i

the magnitude is (0^2+1^2) = 1

The angle is tan^-1( 1/0) = pi/2

cos(pi/2) + i sin (pi/2)

7 0

3 years ago

A place from this table is chosen at random. Let event A = The place is a city.

Crank

Answer:

Final answer is $P(A^c)=\frac{3}{7}$

Step-by-step explanation:

We have been given a table containing a list of few places that are either city or in North America.

Total number of places in that list = 7

That means sample space has 7 possible events.

Given that a place from this table is chosen at random. Let event A = The place is a city.

Now we need to find about what is $P(A^c)$ .

That means find find the probability that chosen place is not a city.

there are 3 places in the list which are not city.

Hence favorable number of events = 3

Then required probability is given by favorable/total events.

$P(A^c)=\frac{3}{7}$

6 0

3 years ago

A rope is 250 centimeters long. You need the rope to be 1 1/2 meters long. How many centimeters should you cut off?

Drupady [299]

If you would like to know how many centimeters should you cut off, you can calculate this using the following steps:

1 1/2 meters = 3/2 meters = 1.5 meters = 150 centimeters

250 centimeters - 1 1/2 meters = 250 centimeters - 150 centimeters = 100 centimeters = 1 meter

The correct result would be 100 centimeters.

6 0

3 years ago

If the common difference in an arithmetic sequence is 4, and the 20th term is 36, what is the first term

zhuklara [117]

D=2

a+29d=36

then a=-22

3 0

4 years ago

A hemisphere has a diameter of 26 centimeters. What is the volume of a sphere with the same radius?

salantis [7]

$r= \frac{d}{2}= \frac{26}{2} \;\Rightarrow r=13\,cm \\ \\ 
V= \frac{4}{3} \pi r^3 \\ \\ 
V= \frac{4}{3} \pi \,(13)^3 \\ \\ 
V= \dfrac{4\cdot 2197}{3} \pi \\ \\ 
V= \frac{8788}{3} \pi\approx 9202,77\,cm^3$

4 0

3 years ago