Answer: Alaska
Step-by-step explanation: Alaska is the farthest state in the southwest region.
Answer:
a) x = 3.0625m
y = 45.9375 m
b) A = 140.68359375 m²
Step-by-step explanation:
Let x be the length
Let y be the width
2x + 2y = 98
x + y = 49
y = 3(5x)
y = 15x
x + 15x = 49
16x = 49
x = 3.0625 m
y = 15(3.0625) = 45.9375
A = xy = 3.0625(45.9375) = 140.68359375
Answer:
I think b
-gxtpuf6a4t sketch see ura5wfyzrud
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°
_____
<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).
__
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.)
Answer:
55° 16' 30" = 0.9648 radians .
Step-by-step explanation:
