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3 years ago

Which mathematicians first used the symbol pi Why?

Mathematics

1 answer:

gavmur [86]3 years ago

8 0

<h2>Answer:</h2>

William Jones

<h2 /><h2>Step-by-step explanation:</h2>

The number pi (π) is a platonic concept and has been used for 4000 years. The number pi can be approached but never reached. In general, this number means the constant ratio of the circumference to the diameter of any circle. Ancient Babylonians, Egyptians, and even Archimedes, one of the greatest mathematicians of the ancient world tried to approximate the value of pi, but in the 1700s, mathematicians began using the Greek letter π that was introduced by William Jones, in his second book <em>Synopsis Palmariorum Matheseos</em> or <em>A New Introduction to the Mathematics base</em>. Then, this symbol was popularized and adopted in 1737 by the greatest mathematician Leonhard Euler.

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The y intercept of the line 5y + 2x -3=0

Alecsey [184]

5y+2x-3=0

5y=-2x+3

y=-2/5 x+3

Sope intercept of the line is y=-2/5 x+ 3/5.

The intercept is 3/5.

Check: x=0 when y=3/5

5y+2x-3=0

5(3/5)+2x-3

3+2x-3=0

2x=0

x=0

Correct

The answer is 3/5.

5 0

2 years ago

What is the value of the expression below when x=3 and y=10?<br> 8x - y

madam [21]

Answer:

$8(3) - 10 \\ = 24 - 10 \\ = 14$

Step-by-step explanation:

this goes with BODMAS .so it means bracket of divison,multiplication ,addition and subtraction

this means that you would have to solve the one in the bracket first before you'll continue with the rest,that is the subtraction.

7 0

2 years ago

Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature varies between 73 and 9

Naddika [18.5K]

Answer: After about 9.03 hours the temperature first reach 82 degrees.

Step-by-step explanation:

The sinusoidal function is given by :

$y=A\sin[\omega(x-\alpha)]+C$

where, A = amplitude; $\omega=\dfrac{2\pi}{period}$ , α= phase shift on the Y-axis and C = midline.

As per given,

Average daily temperature= $C=\dfrac{73+97}{2}=85$ [midline is average of upper and lower limit.]

A= 97-85 = 12

Phase shift: $\alpha=10$

Period = 24 hours;

$\omega=\dfrac{2\pi}{24}=\dfrac{\pi}{12}$

Substitute all values in sinusoidal function, we get

$y=12\sin[\dfrac{\pi}{12}(x-10)]+85$

Put y= 82, we get

$82=12\sin[\dfrac{\pi}{12}(x-10)]+85\\\\\Rightarrow\ -3= 12\sin[\dfrac{\pi}{12}(x-10)]\\\\=\dfrac{-1}{4}= \sin[\dfrac{\pi}{12}(x-10)]\\\\\Rightarrow\ \dfrac{\pi}{12}(x-10)=\sin^{-1}(\dfrac{-1}{4})\\\\\Rightarrow\ x-10=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))\\\\\Rightarrow\ x=\dfrac{12}{\pi}(\sin^{-1}(\dfrac{-1}{4}))+10\\\Rightarrow\ x\approx9.03$

Hence, After about 9.03 hours the temperature first reach 82 degrees.

3 0

2 years ago

RESOLVER LOS SIGUIENTES SISTEMAS DE ECUACIONES APLICANDO EL METODO DE SUSTITUCION

kiruha [24]

Answer:

x = 1/2; y = 1/3

Step-by-step explanation:

2x + 3y = 2 Eq. 1

-6x + 12y = 1 Eq. 2

Eq. 1

2x + 3y = 2

2x = -3y + 2

x = -3/2 y + 1

Eq. 2

-6x + 12y = 1

De Eq. 1 sabemos que x = -3/2 y + 1

-6x + 12y = 1

-6(-3/2 y + 1) + 12y = 1

9y - 6 + 12y = 1

21y - 6 = 1

21y = 7

y = 7/21

y = 1/3

Eq. 1

2x + 3y = 2

2x + 3(1/3) = 2

2x + 1 = 2

2x = 1

x = 1/2

Respuesta: x = 1/2; y = 1/3

3 0

3 years ago

if traveled a distance of 643 feet how many kilometers did the ball travel? round to the nearest hundredth?

Makovka662 [10]

0.20km is the answer.

Explanation: 1ft = 30.48cm

6 0

3 years ago