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Gennadij [26K]
3 years ago
5

A solid metal spherical ball of radius 7cm is put inside a cylinder of radius 5cm and height 13cm. If the cylinder is now filled

completely with water , find the volume of the water inside the cylinder
Mathematics
1 answer:
Blababa [14]3 years ago
4 0

Answer:

Step-by-step explanation:

How do you put a 14 cm diameter ball inside of a 10 cm diameter cylinder?

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Choose the equation of the line that has a slope of zero and passes through the point (6, -3).
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Answer:

y= -3

Step-by-step explanation:

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Which graph models the equation 3x + 2y = 6? A) A B) B C) C D) D
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It should be a line crossing the y axis at (0,3) and the x axis at (0,2)

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Answer:

2.1/3

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A Pythagorean triple is a triple of natural numbers satisfying the equation a^2+b^2+c^2.
Softa [21]
X, x+2 - two consecutive odd or even numbers
Add the reciprocals of these numbers.
\frac{1}{x}+\frac{1}{x+2}=\frac{x+2}{x(x+2)}+\frac{x}{x(x+2)}=\frac{x+2+x}{x^2+2x}=\frac{2x+2}{x^2+2x}


Now add the squares of the numerator and denominator, as in the example.
(2x+2)^2+(x^2+2x)^2= \\ 4x^2+8x+4+x^4+4x^3+4x^2= \\ x^4+4x^3+8x^2+8x+4

So this number has to be a perfect square.
x^4+4x^3+8x^2+8x+4= \\
x^4+2x^3+2x^2+2x^3+4x^2+4x+2x^2+4x+4= \\
x^2(x^2+2x+2)+2x(x^2+2x+2)+2(x^2+2x+2)= \\
(x^2+2x+2)(x^2+2x+2)= \\
(x^2+2x+2)^2
It is a perfect square, so this method always works.

The numbers 2x+2, \ x^2+2x, \ (x^2+2x+2)^2 are a Pythagorean triple for any x \in \mathbb{N^+}.
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4 years ago
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Simplify the equation 4x+3y=45
olasank [31]

Answer: y = -4/3x + 15

3y = 45 - 4x (subtract 4x from both sides)

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