<span>Perimeter of a rectangle: 2(l + w)
</span>
2(l + w) ≥ 30 in
<span>
Simplify- divide both sides by 2.
l + w ≥ 15 in
Substitute (w + 3) into l so only 1 variable is used.
(w + 3) + w ≥ 15 in
Simplify further- add variables and subtract 3 from both sides.
2w ≥ 12 in
Divide both sides by 2.
w ≥ 6 in
Answer: D</span>
Answer:
8.7
Step-by-step explanation:
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:
1 week = 168 hours
Step-by-step explanation:
1 week = 7 days
1 day = 24 hours
1 week * 7 days/ 1 week * 24 hours/1 day = 168 hours
So 1 week = 168 hours
First we have to determine 30% of 12.
(30×12)÷100=3.6 so 3.6 is 30% of 12.
12 - 3.6= 8.4
Your answer is 8.4
