Using the volume of the spherical balloon, it is found that it will take 24 hours for the balloon to become completely empty.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:
Aspherical balloon has a radius of 6 feet, hence the volume is:
It has already lost 20% of it's air, and air is leaking out of the balloon at a rate of 30 cubic feet per minute, hence the volume after t minutes is given by:
It will be completely empty when:
Rounding, it will take 24 hours for the balloon to become completely empty.
More can be learned about the volume of a sphere at brainly.com/question/25608353
The answer is 36°.
Complementary angles are those angles whose sum is 90°.
Let angles be x and y.
x + y = 90°
x : y = 2 : 3
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3 * x = 2 * y
3x = 2y
x + y = 90°
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x = 2/3*y
x + y = 90°
2/3y + y = 90°
2/3y + 3/3y = 90°
5/3y = 90°
5y = 90° * 3
5y = 270°
y = 54°
x + 54° = 90°
x = 90° - 54°
x = 36°
The smaller angle is 36°
(2+3i)^2 = (2+3i)*(2+3i)
(2+3i)^2 = 2*(2+3i)+3i*(2+3i)
(2+3i)^2 = 2*(2)+2*(3i)+3i*(2)+3i*(3i)
(2+3i)^2 = 4+6i+6i+9i^2
(2+3i)^2 = 4+6i+6i+9(-1)
(2+3i)^2 = 4+6i+6i-9
(2+3i)^2 = -5+12i
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(2-3i)^2 = (2-3i)*(2-3i)
(2-3i)^2 = 2*(2-3i)-3i*(2-3i)
(2-3i)^2 = 2*(2)+2*(-3i)-3i*(2)-3i*(-3i)
(2-3i)^2 = 4-6i-6i+9i^2
(2-3i)^2 = 4-6i-6i+9(-1)
(2-3i)^2 = 4-6i-6i-9
(2-3i)^2 = -5-12i
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(2+3i)^2 + (2-3i)^2 = (2+3i)^2 + (2-3i)^2
(2+3i)^2 + (2-3i)^2 = -5+12i + (-5-12i)
(2+3i)^2 + (2-3i)^2 = -5+12i - 5-12i
(2+3i)^2 + (2-3i)^2 = -10+0i
The expression is now in a+bi form where a = -10 and b = 0
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