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Goshia [24]
1 year ago
14

1. What is pi? 2. And why is it important?

Mathematics
2 answers:
taurus [48]1 year ago
7 0

Answer:

ratio of circle's circumference to diameter

it is constant

Gala2k [10]1 year ago
4 0

Answer:

pi [π] is the ratio of a circle's circumference to its diameter, and it is constant [meaning it is always the case] for all circles.

{this is a <em>long </em>number, 3.141592653589793238... is not even the full length, but 3.14 [or 3.14159] is typically used for estimation}

The significance of pi is typically centered in math--it can be used to find values that we don't know of circles. There are other areas of math that have been related back to the value of pi--which is incredible, and genuinely relevant.

We can find pi in the shape of rivers, physics--including waves--DNA

[+ anywhere there is a circle]

hope this helps!! :)

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PLZ help on 1 and 2 ASAP have to turn in homework now.
dezoksy [38]
<h2>1.</h2>
  1. 180° . . . . linear angles are supplementary
  2. 3x . . . 180°
  3. 180°-3x
  4. PLM . . . . an exterior angle of a triangle is equal to the sum of the opposite interior angles
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<h2>2.</h2>
  1. CAB . . . . alternate interior angles where a transversal crosses parallel lines are congruent
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3 0
3 years ago
find the Taylor Series for tan−1(x) based at 0. Give your answer using summation notation and give the largest open interval on
enyata [817]

Let f(x)=\tan^{-1}x. Then f'(x)=\frac1{1+x^2}. Note that f(0)=0.

Recall that for |x|, we have

\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n

This means that for |-x^2|=|x|^2, or -1, we have

\displaystyle f'(x)=\frac1{1+x^2}=\frac1{1-(-x^2)}=\sum_{n\ge0}(-x^2)^n=\sum_{n\ge0}(-1)^nx^{2n}

Integrate the series to get

f(x)=f(0)+\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}

\implies\tan^{-1}x=\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}

6 0
3 years ago
What is the 399,713 rounded to the place value of the third underlined digit of 399
maksim [4K]

The <em>correct answer</em> is:

400,000.

Explanation:

The third digit in 399 is 9. To round to this place value, we inspect the digit behind it. If the digit is 5 or greater, we round up; if it is less than 5, we round down.

The digit behind 9 is 7. Since it is greater than 5, we round up. This would ordinarily put the number up 1; however, doing that makes the 9 a 10, which in turn makes the next number 10, and the next number 4. This gives us 400,000.

4 0
3 years ago
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Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.
Vadim26 [7]

The equation y=2x+2 is a function

Explanation:

Given that the graph contains the coordinates (-1,0), (0,2) , (1,4) and (2,6)

We need to determine whether the equation y=2x+2 is a function.

To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.

Let us substitute the coordinate (-1,0) in the equation y=2x+2

Thus, we have,

0=2(-1)+2

0=-2+2

0=0

Thus, the coordinate (-1,0) satisfies the equation y=2x+2

Substituting the coordinate (0,2) in the equation, we have,

2=2(0)+2

2=2

Thus, the coordinate (0,2) satisfies the equation y=2x+2

Substituting the coordinate (1,4) in the equation y=2x+2

4=2(1)+2

4=4

Thus, the coordinate (1,4) satisfies the equation y=2x+2

Substituting the coordinate (2,6) in the equation, we get,

6=2(2)+2

6=6

Thus, the coordinate (2,6) satisfies the equation y=2x+2

Hence, the coordinates (-1,0), (0,2) , (1,4) and (2,6) satisfies the equation y=2x+2

Thus, the equation y=2x+2 is a function.

6 0
3 years ago
Y-5=-1/2(x+7) (find the slope)
sashaice [31]

It's the slope-point formula:

y-y_1=m(x-x_1)

We have:

y-5=-\dfrac{1}{2}(x+7)

Therefore, the slope m=-\dfrac{1}{2}

7 0
3 years ago
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