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Tasya [4]
3 years ago
6

N is a positive integer. Explain why n(n-1) must be an even number.

Mathematics
1 answer:
svetoff [14.1K]3 years ago
4 0
If N is a positive integer, it must be either even or odd. If N is odd, then N-1 will be even. If N is even, then N-1 will be odd. Either way, when you multiply n and n-1, one of those expressions is going to be an even number, and any number multiplied by an even number is an even number. Hope this helps! :)
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The radius of a size 5 soccer ball is approximately 11.5 cm. How many square inches of synthetic leather does it
kakasveta [241]

Answer:

1661.06 cm²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 11.5 cm

Size of synthetic leather needed =?

To know how many square centimetres of synthetic leather needed to cover the ball, we shall determine the area of the ball. This can be obtained as follow:

Radius (r) = 11.5 cm

Pi (π) = 3.14

Area of ball =?

The shape of a ball is spherical in nature. Thus, we shall apply the formula for calculating the area of a sphere. This is illustrated below:

A = 4πr²

A = 4 × 3.14 × 11.5²

A = 4× 3.14 × 132.25

A = 1661.06 cm²

Thus, 1661.06 cm² of synthetic leather needed to cover the ball.

6 0
2 years ago
What kind of triangle has three angles of measure 83 degrees, 31 degrees and 66 degrees?
andreyandreev [35.5K]

Hi!

An obtuse angle is one greater than 90 degrees, a right angle one that is 90, and acute less than 90.

An obtuse triangle is one with one obtuse angle, all the rest being acute. A right triangle is one with one right angle, all the rest acute. And finally, an acute triangle is one with three acute angles.

In this case, the angles measure 83 degrees, 31 degrees, and 66 degrees. All of them are acute angles, as they're all less than 90 degrees.

Therefore, the triangle is an acute triangle.

Hope this helped!

5 0
4 years ago
Read 2 more answers
How can you find the equation?
katrin2010 [14]
The equation is 2x (or x multiplied by 2) because if you divided 32/16 or 20/10 and so on, all answers will give you the number 2
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3 years ago
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3 years ago
10 POINTS + BRAINLIEST ANSWER!!
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