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4 years ago

What is value of sin2npi

1 answer:

7 0

$n=0\to\sin(2\cdot0\pi)=\sin0=0\\\\n=1\to\sin(2\cdot1\pi)=\sin2\pi=0\\\\n=2\to\sin(2\cdot2\pi)=\sin4\pi=0\\\vdots\\\sin2n\pi=0\ for\ n\in\mathbb{Z}$

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Step-by-step explanation:

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charle [14.2K]

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Step-by-step explanation:

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3 years ago

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Find an equation of the sphere with center (−2, 3, 7) and radius 7.What is the intersection of this sphere with the yz-plane?

masya89 [10]

Answer:

The equation of the sphere with center (-2, 3, 7) and radius 7 is $(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$ .

The intersection of the sphere with the yz-plane is $(y-3)^{2}+(z-7)^{2} = 49$ .

Step-by-step explanation:

We know that any sphere can be represented by the following equation:

$(x-h)^{2}+(y-k)^{2}+(z-s)^{2} = r^{2}$

Where:

$h$ , $k$ , $s$ - Coordinates of the center of the sphere, dimensionless.

$r$ - Radius of the sphere, dimensionless.

If $(h,k, s) = (-2,3,7)$ and $r = 7$ , we obtain this expression:

$(x+2)^{2}+(y-3)^{2}+(z-7)^{2} = 49$

The intersection of the sphere with the yz-plane observe the following conditions:

$x = 0$ , $y \in \mathbb {R}$ , $z\in \mathbb{R}$

Hence, the expression above can be reduced into this:

$(y-3)^{2}+(z-7)^{2} = 49$

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3 years ago

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Oliga [24]

Answer:

c.natural

Step-by-step explanation:

The number e , sometimes called the natural number, or Euler's number, is an important mathematical constant approximately equal to 2.71828.

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olganol [36]

Answer:

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Step-by-step explanation:

First get the total number of votes.

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Ans is 52/100 × 650 = 338 students.

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3 years ago