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Stels [109]
2 years ago
11

Anyone know how to solve this?

Mathematics
1 answer:
AnnyKZ [126]2 years ago
6 0

Answer:

b = 22

Step-by-step explanation:

Here b represents the length of the hypotenuse, and 11 is the length of the side opposite the 30 degree angle.  We want to find the value of b.  We use the sine function here because we have the angle measurement (b), the angle 30 degrees and the "opposite side" 11:

sin 30 degrees = (1/2) = 11/b, which, if inverted, is 2 = b/11, or b = 22

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The containers must be spheres of radius = 6.2cm

<h3>How to minimize the surface area for the containers?</h3>

We know that the shape that minimizes the area for a fixed volume is the sphere.

Here, we want to get spheres of a volume of 1 liter. Where:

1 L = 1000 cm³

And remember that the volume of a sphere of radius R is:

V = \frac{4}{3}*3.14*R^3

Then we must solve:

V = \frac{4}{3}*3.14*R^3 = 1000cm^3\\\\R =\sqrt[3]{  (1000cm^3*\frac{3}{4*3.14} )} = 6.2cm

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If you want to learn more about volume:

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2 years ago
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Answer:

Step-by-step explanation:

3 0
2 years ago
The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas i
andre [41]
The answer is 12.8 cm³

<span>The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p):
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3 years ago
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Answer: B) is the right answer→the distance between points a and b is equal to the distance between points b and c.


Step-by-step explanation:

As Kerry drew a number line starting at 0, point a, and ending at 1, point c and halfway between points a and c, he added point b.

.⇒ab=1/2 of ac and bc= 1/2 of ac or b is the mid point of line segment ac.

⇒ ab=bc(∵things which are equal to the same thing are equal to one another....→Euclid's first postulate)

Therefore, option B) the distance between points a and b is equal to the distance between points b and c is correct.

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Answer:

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3 years ago
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