Write the following complex number in rectangular form. 6(cos π/ 4+ isin π/ 4)
6(cos π/ 4 + i sin π/ 4) =
(Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Type your answer in the form a+bi. Rationalize all denominators.)
Answers
[tex]\stackrel{\textit{complex form}}{\stackrel{\stackrel{r}{\downarrow }}{6}\left[ \cos\left( \frac{\pi }{4} \right) +i\sin\stackrel{\stackrel{\theta }{\downarrow }}{\left( \frac{\pi }{4} \right)} \right]}\implies 6\left[ \frac{\sqrt{2}}{2}+i\frac{\sqrt{2}}{2} \right]\implies \cfrac{6\sqrt{2}}{2}+i\cfrac{6\sqrt{2}}{2} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{\textit{rectangular form}}{\stackrel{\stackrel{a}{\downarrow }}{3\sqrt{2}}+\stackrel{\stackrel{b}{\downarrow }}{3\sqrt{2}}i}~\hfill[/tex]
Related Questions
Divide the following polynomial, then place the answer in the proper location on the grid.
(a^2n - a^n - 6) (a^n + 8)
Answers
Answer:
Step-by-step explanation:
(a^2n/a^n+8) - (a^n/a^n+8) - (6/a^n+8)
I'm not sure if this is what you're looking for but I got this when dividing.
what percent equals 44 =33
Answers
Answer:
33/44 = 0.75
0.75*44 = 33
Answer:
44% of 75 = 33
Step-by-step explanation:
what is the slope of the line?
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The hole for a support needs to be 4 feet deep. It is currently 2 feet 9 inches deep. How much deeper
must the hole be? Use pencil and paper. Show two ways to solve this problem. Use the conversion
12 inches
factor
1 foot
The hole needs to be inches deeper.
Enter your answer in the answer box and then click Check Answer
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Answer:
1 ft 3 inches
Step-by-step explanation:
no link no bot right please
Answers
Answer:
2143.57 cm^3
Step-by-step explanation:
the formula for the volume of a sphere is (4/3)pi*r^3. plug 8cm in for r to get (4/3)*3.14*8^3=2143.57
Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)
Answers
Answer:
20 m
Step-by-step explanation:
1/50 = 40/x
Cross multiply.
1 × x = 50 × 40
x = 2000
2000 cm × (1 m)/(100 cm) = 20 m
Answer: 20 m
Productivity gains are an important factor in the expenditure model because
A. companies can “squeeze” workers more than normal
B. it shifts the AD curve to the left
C. the investments made are cheaper and allows companies to
D. it shifts the AS curve to the right
Answers
Answer:
A
Step-by-step explanation:
companies can squeeze workers more than normal
passez une bonne journée points faciles 2+2=?
Answers
express (25 1/2) ^3 in simplest radical form
Answers
Step-by-step explanation:
i think this is the answer if it's wrong I'm sorry
Please look at picture for question.
Answers
Answer:
Amount spent on breakfest each day: 2B+J
Amount spent on granola bars each day: 2B
Amount spend on juice each day: J
Number of days buys breakfast: 7
How many solutions are there to the equation below?
6x + 33 = 6(x+6)
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex]6x + 33 = 6(x + 6)[/tex][tex]6x + 33 = 6x + 36[/tex]Here, 6x is present on both the sides of equation so they cancel out ~ therefore there is no one solution satisfying the equation ~
Answer:
there are zero solutions
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i asked g o o g l e thats what it said
Is 2:4 and 3:8 proportion or not?
Answers
Answer:
No
Step-by-step explanation:
While these values are close, they are not equal, so I know the original fractions cannot be proportional to each other. So my answer is: The fractions are not
write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answers
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
PAGE 77/215 #1A-C
What percentage of a dollar is the value of each coin combination?
a. 4 dimes
b. 1 nickel and 3 pennies
c. 5 quarters and 1 dime
?
Answers
Answer:4 dimes = 40 cents
1 nickel 3 pennies =8 cents
5 quarters and 1 dime = $1 and 35 cents
step explanation:
1. Michael serves 1.5 quarts of juice for eight people if he’s going to serve 128 people how much juice does he need?
2. five out of nine people at Hawaiian Falls have a season pass if there are 360 people at the pool how many have a season pass?
Answers
Answer:
1. 24 qt
2. 200 people
Step-by-step explanation:
1. Use a proportion.
1.5 qt to 8 people = x qt to 128 people
1.5/8 = x/128
Cross multiply.
8x = 1.5 × 128
8x = 192
x = 24
Answer: 24 qt
2.
5/9 of number of people have a season pass.
number of people at pool = 360
5/9 × 360 = 200
Answer: 200 people
indicate which property is illustrated below. 10 x + 11 x=(-10 + 11) x
Answers
Answer:
distributive property
Step-by-step explanation:
I ASSUME that you meant to lead the equation with a negative sign.
- 10x + 11x = (-10 + 11)x
work out the value of 10²-4³ give ypur answer as a power of 6
Answers
Answer: 36
Step-by-step explanation: 10^2 is 100 and 4^3 is 64, and 100-64=36
What is 10 plus 5 to the 3 power minus 1? Order of operation
Answers
Hope this helped!! :)
Step-by-step explanation:
(10+5)³-1 = 3375-1 = 3374.
8. What is the relationship between multiplying and factoring?
Answers
Answer:
A factor is one of the constants or variables that is multiplied with another factor to produce a term. The term 4x has factors 4 and x. To factor means to separate what is being multiplied. So factoring “takes apart” the product of multiplying.
Yesterday, Chris had m baseball cards. Today, he gave 18 away. Using m, write an expression for the number of cards Chris has left.
Answers
m-18
(MARK ME BRAINLIEST PLS I WILL GET NEW RANK(ACE) Pls))A veterinarian prescribed Sunny, a 75 pound dog, an antibacterial medicine in case an infection emerges after her teeth were cleaned. If the dosage is 4 mg for every pound, how much medicine was Sunny given?
Sunny was given mg of medicine.
Answers
Answer:
Step-by-step explanation:
The dog is 75 pounds
1 pound requires 4 mg
75 pounds requires 4*75 = 300 mg
how do you find a missing fraction of a pie chart? (:
Answers
Answer:
Pasend pic
Step-by-step explanation:
Para I answer koWhich ordered pair is a solution of the
equation?
Y= 32x+5
Answers
Step-by-step explanation:
where are the ordered pairs?
A city dumps plastic shade balls into a reservoir to prevent water from evaporating during a drought. It costs $5760 for 16,000s shade balls. How much dose it cost for 12,000 shade balls?
Answers
Answer:
$4320
Step-by-step explanation:
it costs $5,760 for 16,000, so divide 5,760/16,000 to find the cost for each shade ball, .36 dollars. Then multiply .36 by 12,000 to find 4320. Then just don't forget your unit ! add a $ or 'dollars'
The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door
Answers
Answer:
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35. In her rough work, Janu added 2389 and 740 as shown here.
Is it okay to write the number 740 this way in the addition?
(Hint: You do NOT need to calculate)
(A) Yes, because 0 has no value so 74 is the same as 740.
(B) No, because the answer will be wrong if 0 is not written.
(C) No, because the digits 7 and 4 have NOT been arranged according to their value.
(D) Yes, because 7 is added with the hundred's digit and 4 with the ten's digit.
Answers
Answer:
D
Step-by-step explanation:
I will mark brainlist
Find the geometric mean between 18 and 7. Write your answer in radical form.
• 3 square root of 14
• 126
• 9 square root of 7
• 128
Answers
Answer:
answer is A
I hope this helps!
What integer is equivalent to 25 3/2?
Answers
Answer:
[tex]25\frac{3}{2} =26.5[/tex]
Step-by-step explanation:
This mixed number can be separated into 25 and [tex]\frac{3}{2}[/tex]. Convert the fraction to a decimal by plugging it into a calculator, then add 25.
If you meant what whole number is equivalent, that does not exist.
write an equation of the line below
Answers
Answer:
y=-x-2
Step-by-step explanation:
The slope is negative 1 and the y intercept is -2
Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
Answers
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
