Since, it is given that 
Now, we have to identify the addition property for the given equation.
Associative property of addition states that for any real numbers say 'a' , 'b' and 'c', a+(b+c) = (a+b)+c
So, in the given question 28+29+42
We can use associative property as
(28+29)+42 = 28+(29+42)
57+42 = 28+71
99 = 99
Hence, among the given properties, associative addition property is used.
Answer:
C) √5(cos(117°) +i·sin(117°))
Step-by-step explanation:
The rectangular number a+bi can be written in polar form as ...
√(a^2+b^2)×(cos(arctan(b/a)) + i·sin(arctan(b/a)))
Here, we have a=-1, b=2, so the magnitude is ...
√((-1)^2 +2^2) = √(1+4) = √5
and the angle is ...
arctan(2/(-1)) = arctan(-2) ≈ 116.565° . . . . . a 2nd-quadrant angle
Then you have ...
-1 +2i = √5(cos(117°) +i·sin(117°)) . . . . . . customary "polar form"
_____
Comment on the answer
The "polar form" is generally written as ...
(magnitude)·(cos(angle) +i·sin(angle))
You may also see it as ...
(magnitude) cis (angle) . . . . . . . where "cis" is shorthand for "cos + i·sin"
In my engineering courses, we often used the form ...
(magnitude) ∠ (angle)
The form used by my calculator is ...
(magnitude)·e^(i·angle) . . . . . where angle is usually in radians
Answer:
32 : 12 is the second equivalent ratio. = 48 : 18 is the third equivalent ratio. Therefore, the three equivalent ratios of 8 : 3 are 16 : 6, 32 : 12 and 48 : 18
Answer:
9 ft
Step-by-step explanation:
Pythagorean theorem:
x = the square root of 15 square minus 12 square
x= square root of 225-144
x= square root of 81
X = 9
7+3= 10
Let's take 1,400 is to be seperated between A and B
Amount of money A will get = 1400* 7/10= 980
Amount of money B will get = 1400* 3/10= 420
Checking the answer:
980+420 = 1,400
Hence, 1,400 will be shared by ratio 7:3 is 980 and 420.
Correct me, if I am wrong :)
Have a great day!
Thanks!
