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Goshia [24]
3 years ago
6

Given a line and a point not on the line how many planes do they define?

Mathematics
1 answer:
kati45 [8]3 years ago
7 0
<h3>Answer: 1 plane</h3>

Think of a flat sheet of paper. If you draw a line through that paper, you can rotate the paper around the line to lake it spin like a fan blade. This suggests infinitely many planes go through the same straight line. If you add a point somewhere off the line, then the plane becomes fixed and there is only one plane that goes through both the line and the point at the same time.

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A buoy floating in the sea is bobbing in simple harmonic motion with period 2 seconds and amplitude 8 in. Its displacement d fro
Mrac [35]

Answer:

The equation of the displacement d as a function of time t is :

d(t)=8sin(\pi t+\pi )

Step-by-step explanation:

Generally , A simple harmonic wave is a sinusoidal function that is it can be expressed in simple sin or cos terms.

Thus,

d(t) = Asin(wt+c)

is the general form of displacement of a SHM.

where,

  • <em>d(t) is the displacement with respect to the mean position at any time t</em>
  • <em>A is amplitude </em>
  • <em>w is the natural frequency of oscillation (rads^{-1})</em>
  • <em>c is the phase angle which indicates the initial position of the object in SHM (rad)</em>

given,

  1. Time period (T) = 2s
  2. A=8
  3. The natural frequency (w) and time period (T) is :

                               w=\frac{2\pi} {T}

∴

w = \frac{2\pi }{2}  = \pi rads^{-1}

∴

the equation :

<em>⇒d(t)=8sin(\pi t+c)    </em>                    ------1

since d=0 when t=o ,

<em>⇒0=8sinc\\c=n\pi                         ------2</em>

where n is an integer ;

<u>⇒since the bouy immediately moves in the negative direction , x must be negative or c must be an odd multiple of \pi.</u>

<em>⇒ d(t) = 8sin(\pi t+(2k+1)\pi )         ------3</em>

where k is also an integer ;

the least value of k=0;

thus ,

the equation is :

d(t)=8sin(\pi t+\pi )

<em></em>

7 0
3 years ago
How do you write 1.3 × 105 in standard form?
emmainna [20.7K]

Given:

The scientific notation of a number is 1.3\times 10^5.

To find:

The standard form of the given number.

Solution:

Standard form: The normal way of writing a number is called standard form. For example: 200, 25600, 1025000 etc.

We have,

1.3\times 10^5

It can be written as

1.3\times 10^5=1.3\times 100,000

1.3\times 10^5=130,000

Therefore, the standard form of the given number is 130,000.

7 0
3 years ago
K= 2m-x/ x solve for x
Yakvenalex [24]

the answer is x = 2m/1+k

4 0
4 years ago
Find the output, hhh, when the input, ttt, is 353535.
kow [346]

9514 1404 393

Answer:

  43

Step-by-step explanation:

Put the value where t is and do the arithmetic.

  h = 50 -t/5

  h = 50 -35/5 = 50 -7 = 43

The output, h, is 43 when the input is 35.

4 0
3 years ago
Which of these graphs represents a function?
Alisiya [41]

Answer:

the upper right one

6 0
3 years ago
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