195.638
that's some weird logic but ok
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.)
Speed times time=distance
distance=6.8
speed=2.72
time=?
2.72 times ?=6.8
divide both sides by 2.72
?=2.5
answer si 2.5 hours
The piece Zoe cut off would be 1 and 5/12 ft long.
5 and 1/4 - 3 and 5/6
The least common denominator is 24.
5 and 6/24 - 3 and 20/24
5 and 6/24 becomes 4 and 30/24
4 and 30/24 - 3 and 20/24 = 1 and 10/24
1 and 10/24 can be simplified to 1 and 5/12.
