The speed of light in a vacuum is 2.998×108 m/s . What is its speed in miles per minute (mi/min)?

To convert m/s to mi/min we have to find conversion factor first

1 mile = 1609.344 m

1m = 1/1609.344 miles

1 min = 60 s

1s = 1/60 min

Let’s put mi/min instead of m/s according to equations above

m/s = [1/1609.344 miles] / [1/60 min]

The conversion factor is

f = 60 / 1609.344

Now we can convert m/s to mi/min

V (mi/min) = 2.998 ∙ 108 m/s ∙ f = 2.998 ∙ 108 ∙ (60 / 1609.344) = 1.118 ∙ 107 mi/min

V = 1.118 ∙ 107 mi/min

Hope u have a good day of learning

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step-by-step explanation:

an equation by definition has to have two or more variables (x and 2 in this case)

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240