Please help!! I included a pic of the problem to make it easier.
Find the quotient (z/w)
z = 6(cos(pi/3) + isin(pi/3), w = 3(cos(pi/6) + isin(pi/6)
[A]2(cos(pi/6)+isin(pi/6)
[B]2(cos(pi/90)+isin(pi/90)
[C]18(cos(pi/2)+isin(pi/2)
[D] None of these
Answers
Answer: i think it is D
we have:
[tex]\frac{z}{w}= \frac{6(cos\frac{\pi }{3}+i.sin\frac{\pi }{3} ) }{3(cos\frac{\pi }{6}+i.sin\frac{\pi }{6}) }\\\\\\<=>\frac{z}{w}=\frac{2(\frac{1}{2}+i.\frac{\sqrt{3} }{2}) }{\frac{\sqrt{3} }{2}+i.\frac{1}{2} }\\\\<=>\frac{z}{w}= \frac{2+2\sqrt{3}.i }{\sqrt{3}+i }[/tex]
Step-by-step explanation:
Related Questions
Coca Cola is offering prizes under the caps of their sodas. Coca Cola claims that “one in six game pieces wins a prize.” The official rules of the contest states that the odds of winning a prize are 1:6. Is the claim “one in six game pieces wins a prize” correct? Why or why not?
Answers
Answer:
correct because one in six game pieces win a prize.
Step-by-step explanation:
How do i solve
X^56 x X^14
Answers
Answer:
x^70
Step-by-step explanation:
When multiplying exponents, you just add them up.
x^56+14= x^70
What the answer is for this question
Answers
Answer:
im pretty sure its 24
Step-by-step explanation:
because 12+12=24
Solve the compound inequality n+2≤−5 and n+6≥−6 .
Answers
12
≤
n
≤
−
7
Explanation:
we solve each inequality separately, n then combine to get the final answer. :)
n
+
2
≤
−
5
n
≤
−
5
−
2
n
≤
−
7
n
+
6
≥
−
6
n
≥
−
6
−
6
n
≥
−
12
therefore combining the inequalities,
n
≤
−
7
and
n
≥
−
12
−
12
≤
n
≤
−
7
Which line has a slope of 1/2 and passes through (2,-4) ?
Answers
Since it’s positive slope and goes through quadrant 1
factorise the following
a) 32a^2-98b^2
b)m ^2 -64n^2
Answers
Answer:
a) 2(4a + 7b)(4a - 7b)
b) (m - 8n)(m + 8n)
Step-by-step explanation:
[tex]a)32a^{2} - 98b^{2}\\=(2 * 16)a^{2} - (2*49)b^{2}\\=2(16a^{2} -49b^{2})\\=2 ([4a]^{2}-[7b]^{2})\\=2(4a+7b)(4a-7b)[/tex]
[tex]b) m^{2} - 64n^{2}\\= (m)^{2} - (8n)^{2} \\= (m-8n)(m+8n)[/tex]
happy to help:)
Can anyone help me with this problem? It's a review.
You can ignore the other questions I just need help on this one.
Answers
Answer:
The point (0,-2) is the solution to the problem. Substitue 0 into x, the answer is -2 which matches f(x), or y value.
Step-by-step explanation:
Find the slope between the two points.
(2,7) and (5, 8 )
Answers
Answer:
Slope
0.33
Step-by-step explanation:
A 3-pound bag of almonds costs $16.50, a 5-pound bag of walnuts costs $28.75, and a 4-
pound bag of cashews costs $24.80. Which is the best deal from best to worst deal
Answers
Answer:
a 3 pound almonds is the best deal with the 5 pound bag of walnuts being the second and the 4 pounds of cashews is the worst deal
Step-by-step explanation:
the almonds cost 5.50$ a pound the 5 pound bag of walnuts cost 5.75$ dollars a pound and the 4 pound bag of cashews cost 6.20$ a pound
If a temperature is 2 °C and falls by 7 °C, what is the new temperature?
Answers
Answer:
-5 degrees C
2 degrees C minus 7 degrees C
hope this helps you
2x/3 < 10
Solve the inequality
Answers
Answer:
x < 15
Step-by-step explanation:
we want to isolate x, so we get rid of the 3, that is being divided by 2x, we take it to the other side to multiply.
2x < 10 x 3
2x < 30
we move the 2 that is multiplying x to the other side, since it was multiplying, we make inverse operations and now the 2 will divide 30
x < 30 ÷ 2
x < 15
Answer:
x=15 or false
Step-by-step explanation:
In order to find x you have to get the x by itself. To do this you multiply 3 on both sides this gives you 2x<30. Then you divide by 2, this gives you x=15. Then in order to find whether or not the inequality is true you have to plug x back in. 2(15)/3<10 is equal to 30/3=10 which leads to 10<10, which is false.
Use _________ to isolate the variable.
Answers
The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 oranges?
Answers
Question 2. Mode is the
(a) middle most frequent
value
(b) least frequent value
(c) maximum frequent value
(d) none of these
Answers
PLSSS HELPPPPPP I WILL MARK BRAINLIEST!!!!!!!
THIS IS A solve multistep inequalities PROBLEM
Answers
Answer:
y<1
Step-by-step explanation:
-8y+3>-5
-8y>-8
y<1
The sum of the digits of a two digit number is 10. If 36 is subtracted from the number, the digit interchange their places Find the number
Answers
Step-by-step explanation:
Let A be the tens digit of the number and B be the ones digit.
We have A + B = 10 and 10A + B - 36 = 10B + A.
=> A + B = 10 and 9A - 36 = 9B
=> A + B = 10 and A - 4 = B
=> A + B = 10 and A - B = 4
Therefore 2A = 10 + 4 = 14,
A = 7 and B = 10 - 7 = 3.
Hence the number is 73.
15 is what % of 60:(
Answers
Answer:
25%
Step-by-step explanation:
Mrs. Rose received a 30% discount on her cell phone. The price of her cell phone, after the discount, was $180 Rounded to the nearest dollar, what was the original price of her cell phone?
Answers
Answer:
30%
Step-by-step explanation:
On considère les deux expressions A et B. A=4(x+5)-8 B=x au carré+15. Avec x=1,puis avec x=3, je trouve le même résultat pour A et B donc, quel que soit le nombre x, on a A = B. Emma a-t-elle raison ? Justifier la réponse.
Answers
Explication étape par étape:
Compte tenu des expressions ';
A = 4 (x + 5) -8
B = x² + 15
Nous devons vérifier si A = B pour les deux valeurs de x à x = 1 et x = 3
à quand x = 1
A = 4 (1 + 5) -8
A = 4 (6) - 8
A = 24-8
A = 16
B = x² + 15
B = 1² + 15
B = 1 + 15
B = 16
Donc à quand x = 1, A = B = 16
quand x = 3
A = 4 (x + 5) -8
A = 4 (3 + 5) -8
A = 4 (8) - 8
A = 32-8
A = 24
B = 3² + 15
B = 9 + 15
B = 24
Également lorsque x = 3, A = B = 24
Cela montre que le postulat d'Emmas est juste.
Steph needs to help her parents put a fence around their pool. They want the fence to be square and want each side to measure 6 meters. They already have 10 meters of fencing.
How many more meters of fencing should they buy?
Answers
Answer:a
Step-by-step explanation:
a
estimate of 2728/124
Answers
Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.
Step-by-step explanation:
Answer: the real answer is 22 but a way for you to get a good estimate would be too look at the equation as 2730/120 and then you would get 22.75.
Step-by-step explanation:
Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined
Answers
Note: I am assuming you mean ''on what domain is f+g is defined''.
Answer:
We conclude that
Dom(f+g) = [-2, 5]Step-by-step explanation:
Given the domain of f
[-3, 5]
Given the domain of g
[-2, 7]
The domain of a composition f+g would include the intersection of both domains.In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.
so
Domain of f = [-3, 5]
The x-values lie in the domain of f interval are:
x = -3, -2, 1, 0, 1, 2, 3, 4, 5
Domain of g = [-2, 7]
The x-values lie in the domain of g interval are:
x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7
Therefore, the common x-values in both f and g would be:
-2, 1, 0, 1, 2, 3, 4, 5
Thus, we conclude that
Dom(f+g) = [-2, 5]Gabby spents $44.10 for 14 gallons of gas.what was the unit cost or price per gallon
Answers
Answer:
The unit cost is $3.15
Step-by-step explanation:
Here, we want to get the price per gallon
mathematically, that will be total amount spent divided by the number of gallons
That will be;
44.10/14 = $3.15
Offering 100 Points for someone to complete the worksheet.
Answers
Answer:
what is the question?
please post the question
order these numbers from from least to greatest
27 3/9 1/5 1.23 75%
Answers
Answer:
I don't know...jkkk
Step-by-step explanation:
First put the fractions and percents as decimals
27, 0.5,0.2, 1.23, 0.75
Now you can easily order them from LEAST to GREATEST
0.2,0.5,0.75,1.23,27
Hope this helps! :)
What is the fraction that is halfway between 1/3 and 3/2
Answers
Answer:
11/12
Explanation:
1/3 + 3/2 = 11/6
11/6 x 1/2 (average is halfway) = 11/12
Answer:
-1/12.
Step-by-step explanation:
One way to do this is as follows
Answer = (3/2 + 1/3) / 2
= (9/6 + 2/6) / 2
= 11/6 / 2
= 11/12.
6+9=−3−21−6 for .
help meeeeeeeeee
Answers
Answer:
15= -30
Step-by-step explanation:
I don't know if this is complete because the question cut off
The Answer is : 15=−30
plzzzz helppp im stupid!!!
Answers
Answer:
1. A'B'C'
(2, 4) (4, 10) (14, 2)
A''B''C'' (2, 8) (8, 14) (14, 6)
2. D'E'F'G
(-6, 3) (-9, 3) (-6, 12) (-9, 12)
D''E''F''G'' (-2, 1) (-3, 1) (-2, 4) (-3, 4)
Step-by-step explanation:
Ok. So, when you are dialating, you first step is to determine wether it is bigger or smaller. If the scale factor is more than one, it is an enlargment or getting bigger. If it is less than 1, it is a reduction and getting smaller. Then, it is just math. Lets say that the point is (2, 4) and your scale factor is 2. Multiply 2 times 2 to get 4. Then multiply 4 times 2 to get 8. Your new cordinante is (4, 8).
You are not stupid you can do it!
Jerry borrowed $400 for 5 years at 6% simple interest rate. What will the value of Jerry’s account be after 5 years
Answers
Answer:
here's the answers...,........
HELP ME ASAP PLEASE!!
Answers
Answer:
a=45 b=65
Step-by-step explanation:
You know that all the angle measures of a triangle add to 180. So the equation would be angle a + angle b + 70 = 180. Subsitute and simplify and you get 16x -2 + 70 = 180. Subtract 70 from 180 to get 16x -2=110 add 2 to get 16x =110. Divide each side by 16 to gte x=7. Subsitute x = 7 into the equations for angle a and angle b to get the answers above