Mathematics, 04.02.2020 07:47, kaileasample8259

The speed of light in vacuum is 2.998x10^8 m/s. what is the speed in km/hr and mi/min?

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answered: sheila101

Speed of light in vacuum = 2.998 x 10^8 m/s

1m = 1/1000 km and 1s = 1/3600 hr

Speed of light in vacuum = (2.998 x 10^8 x (1/1000) km) / (1/3600) hr

Speed of light in vacuum = 10.792 x 10^8 km/hr

Now

1km = 0.6213 mi

1hr = 60min

As Speed of light in vacuum = 10.792 x 10^8 km/hr

Speed of light in vacuum = 10.792 x 10^8 x (0.6213mi) / 60min

Speed of light in vacuum = 0.1117 x 10^8 mi/min

Speed of light in vacuum = 11.17 x 10^6 mi/min

answered: leen2727

1.08 x 10⁹ km/hr and 1.12 x 10⁷ mi/min.

Further explanation

Given:

The speed of light in vacuum is 2.998 x 10⁸ m/s

Question:

What is the speed in km/hr and mi/min (miles/minute)?

Problem solving:

We will solve the problem here about the conversion of length and time units.

To solve our case, consider the following unit length and time conversions.

Lenght (or Distance)

$\boxed{ \ 1 \ km = 1,000 \ m \ }$ $\boxed{ \ 1 \ mile = 1,609.34 \ m \ }$

Time

$\boxed{ \ 1 \ hour = 60 \ minutes \ }$ $\boxed{ \ 1 \ minute = 60 \ seconds \ }$ $\boxed{ \ 1 \ hour = 3,600 \ seconds \ }$

Convert m/s to km/hr

$\boxed{ \ 2.998 \times 10^8 \ \frac{m}{s} \times \frac{1 \ km}{1,000 \ m} \times \frac{3,600 \ s}{1 \ hr} \ }$

$\boxed{ \ 2.998 \times 10^8 \times 3.6 \ \frac{km}{hr} \ }$

$\boxed{ \ 10.7928 \times 10^8 \ \frac{km}{hr} \ }$

Adjust it again to fit the scientific notation.

$\boxed{ \ 1.07928 \times 10^9 \ \frac{km}{hr} \ }$

After rounding to 2 decimal places, the result is $\boxed{\boxed{ \ 1.08 \times 10^9 \ \frac{km}{hr} \ }}$

Convert m/s to mi/min

$\boxed{ \ 2.998 \times 10^8 \ \frac{m}{s} \times \frac{1 \ mile}{1,609.34 \ m} \times \frac{60 \ s}{1 \ min} \ }$

$\boxed{ \ 2.998 \times 10^8 \times 0.0373 \ \frac{mi}{min} \ }$

$\boxed{ \ 0.1118 \times 10^8 \ \frac{mi}{min} \ }$

Adjust it again to fit the scientific notation.

$\boxed{ \ 1.118 \times 10^7 \ \frac{mi}{min} \ }$

After rounding to 2 decimal places, the result is $\boxed{\boxed{ \ 1.12 \times 10^7 \ \frac{mi}{min} \ }}$

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Keywords: the speed of light in vacuum is 2.998 x 10⁸ m/s, what is the speed in km/hr and mi/min? hour, mile, minutes, conversion, length, time, the scientific notation

answered: Guest

b: |12 – x| ≤ 0.25

step-by-step explanation:

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

answered: Guest

chiken

step-by-step explanation: