Can you help with this math please?

A complex number z_1z 1 z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ∣=6vertical bar, z, start subscript

aliina [53]

Answer:

The answer is " $\bold{9.19- 9.19\ i}$ "

Step-by-step explanation:

When the value of $z_1$ has the following properties:

$\to |z_1| =13$

$\theta = 315^{\circ} \\\\ = 1.75 \pi\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ (\pi = 180^{\circ})$

Calculating the value of $z_1$ :

$= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\= 13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\ i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\$

3 0

3 years ago

What is the number sentence for "1 less than N is the sum of Z and 2"?

s344n2d4d5 [400]

$\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

What is the number sentence for "1 less than n is the sum of z and 2?"

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

❖ First, Notice it says "1 less than n". This expression indicates that

we subtract 1 from n, which looks as follows:-

$\Large\textit{n-1}$

❖ Now, It also says "the sum of z and 2". This indicates that we add z and

2:-

$\Large\textit{z+2}$

❖ Now, Combine these two little expressions into one equation:-

$\implies\sf{n-1=z+2}$

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{300}{1}$

6 0

1 year ago

A pack of folders has a length of 5 inches, a width of 12 inches, and a height of 1 inch. The pack of folders will be shipped in

777dan777 [17]

Answer:

A) Each pack of folders has a volume of 60 cubic inches.

B) The box has a volume of about 720 cubic inches

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

Step-by-step explanation:

Verify each statement

A) Each pack of folders has a volume of 60 cubic inches.

The statement is True

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

B) The box has a volume of about 720 cubic inches

The statement is True

Because

The volume of the box is equal to the volume of one pack of folders multiplied by 12

so

$V=(12)60=720\ in^{3}$

C) If the box held 15 packs of folders, it would have a volume of about 1,200 cubic inches

The statement is False

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{15}{x}\frac{packs}{in^{3}}\\ \\x=720*15/12\\ \\x=900\ in^{3}$

$900\ in^{3}\neq 1,200\ in^{3}$

D) If the box help 20 packs of folders, it would have a volume of about 1,200 cubic inches.

The statement is True

Because

Applying proportion

$\frac{12}{720}\frac{packs}{in^{3}}=\frac{20}{x}\frac{packs}{in^{3}}\\ \\x=720*20/12\\ \\x=1,200\ in^{3}$

$1,200\ in^{3}= 1,200\ in^{3}$

E) Each pack of folders has a volume of 24 cubic inches.

The statement is False

Because

The volume of each pack of folders is equal to

$V=(5)(12)(1)=60\ in^{3}$

7 0

3 years ago

Please help me asap

tresset_1 [31]

Answer:

1\2.

Step-by-step explanation:

change in y over change in x. so 13 - 11 over 6 - 2. 2/4 --.> 1\2.

6 0

3 years ago

Which of the following conjectures is false? Please give a counterexample! Thank youuu

MakcuM [25]

Which of the following conjectures is false?

Solution: The false conjecture is:

J. The sum of two odd numbers is odd

Explanation:

F. The product of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The product of two even numbers is:

$4 \times 6 = 24$

Therefore, the product is also even number. Hence the conjecture is true.

G. The sum of two even numbers is even.

For example: Let us take two even numbers 4 and 6.

The sum of two even numbers is:

$4+6 = 10$

Therefore, the sum is also even number. Hence the conjecture is true.

H. The product of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The product of two odd numbers is:

$3\times5 = 15$

Therefore, the product is also odd number. Hence the conjecture is true.

J. The sum of two odd numbers is odd.

For example: Let us take two odd numbers 3 and 5.

The sum of two odd numbers is:

$3+5= 8$

Therefore, the sum is not an odd number. Hence the conjecture is false.

6 0

3 years ago