N+23=19
-23 -23 Takeaway 23 from both sides
Answer is N= - 4
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.)
Answer:
F = $13,802.31
she can finance $13,802.31 with this loan.
Step-by-step explanation:
Given;
Rate r = 7% = 0.07
Time t = 4 years
Payment per month MP = $250
Number of months per year n = 12
This can be solved using compound interest for future value series formula;
F = future value
F = MP(((1 + r/n)^(nt) - 1)/(r/n))
Substituting the given values, we have;
F = $250(((1 + 0.07/12)^(12×4) - 1)/(0.07/12))
F = $13,802.31
Thats a reasonable price for a sweater.
Answer:
The definition of adjacent in math can mean a couple of different things. For angles, adjacent angles would be any two angles that share a side. In other words, two angles right next to each other.
A more broad meaning is just any two geometric shapes that are next to each other in a figure.
