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kolezko [41]
3 years ago
6

A certain star is 1.135 × 10^14 km away from Earth. If light travels at 9.4607 × 10^12 km per year, how long will it take for li

ght from the star to reach Earth?
Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

12 years will it take for light from the star to reach Earth.

Step-by-step explanation:

As per the given statement: A certain star is 1.135 × 10^14 km away from Earth. If light travels at 9.4607 × 10^12 km per year.

⇒Speed of light travel = 9.4607 \times 10^{12} km per year

and Distance of a certain star from the Earth = 1.135 \times 10^{14} km

To find how long will it take for light from the star to reach Earth.

Using Formula:

\text{Speed} = \frac{\text{Distance}}{\text{Time}}

or

\text{Time} = \frac{\text{Distance}}{\text{Speed}}

Substitute the given values we have;;

\text{Time} = \frac{1.135 \times 10^{14}}{9.4607 \times 10^{12}}

Simplify:

Time = 11.9969981 year ≈ 12 years

therefore, 12 years will it take for light from the star to reach Earth.


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P(8 or 12) = 1/6
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Find the volume of the cylinder with a diameter of 12 inches and a height of 10
kati45 [8]

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360 pi in ^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h

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V = pi (6)^2 * 10

V = pi (36)*10

V = 360 pi in ^3

We can approximate pi by 3.14

V =1130.4 in ^3

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Step-by-step explanation:

6 0
2 years ago
Divide -3x^3-2x^2-x-2 by x-2
Rasek [7]

Let's do this by Briot-Ruffini


First: Find the monomial root


x - 2 = 0

x = 2


Second: Allign this root with all the other coeficients from equation

Equation = -3x³ - 2x² - x - 2

Coeficients = -3, -2, -1, -2

2 | -3 -2 -1 -2


Copy the first coeficient


2 | -3 -2 -1 -2

-3


Multiply him by the root and sum with the next coeficient


2.(-3) = -6

-6 + (-2) = -8


2 | -3 -2 -1 -2

-3 -8


Do the same


2.(-8) = -16

-16 + (-1) = -17


2 | -3 -2 -1 -2

-3 -8 -17


The same,


2.(-17) = -34

-34 + (-2) = -36


2 | -3 -2 -1 -2

-3 -8 -17 -36


Now you just need to put the "x" after all these numbers with one exponent less, see


2 | -3x³ - 2x² - 1x - 2

-3x² - 8x - 17 -36


You may be asking what exponent -36 should be, and I say:


None or the monomial. He's like the rest of this division, so you can say:


(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 with rest -36 or you can say:

(-3x³ - 2x² - x - 2)/(x - 2) = -3x² - 8x - 17 - 36/(x - 2)


Just divide the rest by the monomial.

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3 years ago
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