Recall, $\pi$ is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, $\pi$ =c/d. This seems to contradict the fact that $\pi$ is irrational. How will you resolve this contradiction?

Answers

Answer 1

Answer: Though $\pi$ = $(c)/(d)$ , it is an approximate value. As we get an approximate value and not a fixed one, there is no contradiction. Mathematically,
$(c)/(d)$ = $(2 \pi r)/(2r)$ = $\pi$ .
Hence, no contradiction.

Answer 2

Answer: Yes, it is true that π = c / d . However, note here that c or the circumference is known by the equation c = 2πr. In finding the circumference, we take value of pi approximately, and hence there is no contradiction. However, even if the circumference is accurate, it will be an irrational number. Recall that an irrational number operated in any way results again into an irrational number.

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Use the pythagorean theorem to solve. 14.2^2 +x^2=15^2. Then just solve.

Solve the inequality. |4x + 2| < 26 A. –32 < x < 20

B. –7 > x > 6

C. –6 < x < 6

D. –7 < x < 6

Answers

Hello,
Answer D

1) if 4x+2>0 then |4x+2|=4x+2
==> 4x+2<26
==>4x<24
==>x<6

2) if 4x+2<0 then |4x+2|=-(4x+2)=-4x-2

==>-4x-2<26
==>-4x<28
==>x>-7

thus -7<x<6

Answer:

D. –7 < x < 6

Step-by-step explanation:

Who invented division?

Answers

the ancient egyptians

John Napier is said to have invented the mathematical function know as division. His calculation were further developed by Henry Briggs.

What's the conversion factor used to convert miles to yards

Answers

The required, formula for converting miles to yards: yards = miles x 1760.

The conversion factor used to convert miles to yards is 1760. This means that 1 mile is equal to 1760 yards.

To convert from miles to yards, simply multiply the length in miles by 1760. For example, 5 miles is equal to 8800 yards (5 x 1760 = 8800).

Here is the formula for converting miles to yards:

yards = miles x 1760

Here are some examples of converting miles to yards:

1 mile = 1760 yards

2 miles = 3520 yards

3 miles = 5280 yards

4 miles = 6960 yards

5 miles = 8800 yards

Learn more about conversion factors here:

brainly.com/question/30567263

#SPJ6

use this conversion factor
1mile=1760 yards

noah has 72 collecters flags he is going to put 6 flags in each row how many rows of flags will he have in his display

Answers

If you would like to know how many rows of flags will Noah have in his display, you can calculate this using the following steps:

72 flags / 6 flags = 12 rows

The correct result would be 12 rows.

12
because....
72/6= 12

A curve is traced by a point P(x, y) which moves such that its distance from the point A(-1,1) is three times its distance from the point B(2,-1). Determine the equation of the curve.

Answers

Answer:

$8x^2+8y^2+43-38x+20y=0$

Step-by-step explanation:

Let $A\left ( x_1,y_1 \right )$ and $B\left ( x_2,y_2 \right )$ be two points then distance AB is equal to $AB=√(\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2)$

Here, a curve is traced by a point $P(x,y)$ which moves such that its distance from the point $A(-1,1)$ is three times its distance from the point $B(2,-1)$ i.e $AP=3BP$

Using distance formula,

$AP=√((-1-x)^2+(1-y)^2)$

$BP=√((2-x)^2+(-1-y)^2)$

$AP=3BP\n√((-1-x)^2+(1-y)^2)=3√((2-x)^2+(-1-y)^2)$

On squaring both sides, we get

$(-1-x)^2+(1-y)^2=9\left [ (2-x)^2+(-1-y)^2 \right ]\n1+x^2+2x+1+y^2-2y=9\left ( 4 +x^2-4x+1+y^2+2y\right )\n1+x^2+2x+1+y^2-2y=36+9x^2-36x+9+9y^2+18y\n8x^2+8y^2+43-38x+20y=0$

So, equation of curve is $8x^2+8y^2+43-38x+20y=0$

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Recall, is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, =c/d. This seems to contradict the fact that is irrational. How will you resolve this contradiction?

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Recall, $\pi$ is defined as the ratio of the circumference (say c) of a circle to its diameter (say d). That is, $\pi$ =c/d. This seems to contradict the fact that $\pi$ is irrational. How will you resolve this contradiction?