MATHEMATICS HIGH SCHOOL

Express the complex number in trigonometric form.

-4i

Answers

Answer 1
Answer:

Answer:

-4i =  4(cos 270 +i sin 270)

Step-by-step explanation:

We have a+ib = r(cosθ+isinθ)

r=√(a^2+b^2)\texttt{ and }tan\theta =(b)/(a)

Here a = 0  and b = -4

Substituting

       r=√(0^2+(-4)^2)\n\nr=4\n\ntan\theta =(-4)/(0)\n\n\theta =270^0\texttt{(Since a is zero and b is negative)}

-4i =  4(cos 270 +i sin 270)

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Point-slope form to slope-intercept form

Answers

y=mx+b
y-y1=m(x-x1)

They are different, and the conversion depends on what you need.

What you need:
y-y1=m(x-x1)
y-y1=mx-mx1 (distribute the m)
y=mx-mx1+y1 (move the y1)
y=mx+b (combine mx1 and y1)

100 points with work

Answers

Answer:

jacky 12 809 n-t

Step-by-step explanation:

Answer:

he said it not me

Explain how to solve 3x+4=19

Answers

Answer:

X = 5

Step-by-step explanation:

3x + 4 = 19

    -4.      -4

3x = 15

divide both sides by 3 to solve for x

x = 5

How do you find a side length of a cube with the surface area of one face (64cm)

Answers

Fact #1:
A cube has six faces.

Fact #2:
Every one of them has the same area.

Fact #3:
The surface area of each face is (the length of the cube's side)²

Now that I look at this one more carefully, the only thing you need to know
to solve it is Fact #3.  (But you can keep the others and save them for later.)

The surface area of each face is (the length of the cube's side)²

64 is the (length of the cube's side)²

Can you find a number that gives you 64 when you multiply it by itself ?
That's the length of the cube's side.

Hint: If you don't get ' 8 ', work on it a little more.

A. A survey of 110 teachers showed that 28 of them have a second job. B. A survey of 90 teachers showed that 27 of them have a second job.
C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results?
A) A and B
B) B and D
C) A and D
D) B and C

Answers

Answer:

Correct option is:

D) B and C

Step-by-step explanation:

A. A survey of 110 teachers showed that 28 of them have a second job.  

B. A survey of 90 teachers showed that 27 of them have a second job.  

C. A survey of 70 teachers showed that 21 of them have a second job.  

D. A survey of 80 teachers showed that 32 of them have a second job.

Percentage of teachers having second job is calculated by the formula:

      (Teachers having second job)/(Total number of teachers)* 100

So, percentage of second job teachers of survey A,B,C and D is:

                      A                  B          C           D

Percentage    25.45%       30%      30%      40%

Hence, two surveys that are proportional are

B and C

Hence, Correct option is:

D) B and C
The answer is D. B and C are proportional.

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.​

Answers

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.
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