What’s the complex number in polar form with argument theta between 0 and 2pie?
8+8i
Answers
9514 1404 393
Answer:
45. (8√2)∠π/4
46. (7√2)∠3π/4
Step-by-step explanation:
The polar form of a+bi is ...
a +bi ⇔ (√(a²+b²))∠arctan(b/a)
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45. 8 +8i = (√(8² +8²))∠arctan(8/8) = (8√2)∠π/4
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46. -7 +7i = (√((-7)² +7²))∠arctan(7/-7) = (7√2)∠3π/4
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Additional comment
The arctan function usually returns a value in the range -π/2 to π/2. The quadrant of the desired result can be determined by the signs of the components of the vector. For negative real parts, π needs to be added to the value that is usually returned by the arctan function.
Related Questions
Heights of women (in inches) are approximately N(64.5,2.5) distributed. Compute the probability that the average height of 25 randomly selected women will be bigger than 66 inches.
Work out the percentage change to 2 decimal places when a price of £70 is increased to £99.
A piece of rope there is 28 feet long is cut into two pieces. One is use to form a circle and others used to form a square. Write a function G representing the area of the square as a function of the radius of the circle R
Given this table of values, what is the value of f(14)?
Answers
Answer:
False. Trapezoids and parallelograms are both types of quadrilaterals. 4 sided figures. The sum of a quadrilateral's angles is always equal to 360. The sum of a trapezoid's angles, as well as the sum of a parallelogram's angles, will always be equal. I hope this answers your question.
Step-by-step explanation:
Answers
Answer:45 steps
Step-by-step explanation:all u have to do is add all that he climbed which is 30+ 15
Answer 45
Step-by-step explanation:
30 + 15 = 45
Answers
Answer:
one
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
Hello!
The study variable is:
X: Number of female babies in a sample of 33 babies.
The variable has binomial distribution, symbolically:
X~Bi(n; p)
n= 33
p= 0.5
The mean of the Binomial variable is:
E(X)= n*p
E(X)= 33*0.5
E(X)= 16.5
The variance of the Binomial is:
V(X)= n*p*q
q= (1 - p) (If "p" is the probability of "success", "q" represents the probability of "failure")
V(X)= 33*0.5*0.5
V(X)= 8.25
Then the standard deviation is:
√V(X)= √8.25= 2.87
E(X) + 2*(√V(X))= 22.24
E(X) - 2*(√V(X))= 10.76
I hope it helps!
Please help
Answers
strings of lights you use is 14. How many of each type of light do you have?
Answers
Answer:
- 8 short and 6 long strings
Step-by-step explanation:
Let the number of lights are short = s and long = l.
According to question we have:
- s + l = 14
- 5s + 11l = 106
Subtract 5 times the first equation from the second one to solve for l:
- 5s + 11l - 5s - 5l = 106 - 5*14
- 6l = 36
- l = 36/6
- l = 6
Find s:
- s = 14 - 6 = 8
Answer:
A good rule of thumb is 100 lights for every 1.5 feet of tree. However, if you love lights, you may want to double, or even triple, that amount.
Step-by-step explanation:
Just a guess because you gave no answer choices