9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
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<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
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At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
$6.89
The book is $10. Minus the 35% discount ($10X0.35=$3.50). So the subtotal is $10-$3.50=$6.50.
Tax is 6%. So 0.06X$6.50=$0.39
The total including tax is $6.50+$0.39=$6.89
(1600,3600) you multiply the 4X400 and 9X400
Answer: Mode = 12
Explanation: The mode is the most frequent value, so it is the value that shows up the most. In this case, that would be the value "12" since it shows up three times (while the other values only show up once).
Answer and explanation:
Statement - If the difference of two numbers is even then so is their sum.
Let the two even numbers be '2m' and '2n' with m and n are integers.
The difference of two number is
Now, The sum of the numbers is
Let 
where k is an integer
Then, 
which is also an even number as 2 is multiplied with it.
So, If the difference of two numbers is even then so is their sum.
For example -
Let two even number 2 and 4.
The difference is 
, 2 is even.
The sum is 
, 6 is even.
