there are 60 mintnutes in one hour and 60 seconds in one minute using this imformation explain how you could convert 20 miles per hour to feet per second

Question

12-10-2022
Mathematics

contestada

there are 60 mintnutes in one hour and 60 seconds in one minute using this imformation explain how you could convert 20 miles per hour to feet per second

Respuesta :

Otras preguntas

Which fatty acid contains its first double bond on the sixth omega carbon?

Which statements correctly describe the referendum process? A petition must be filed by voters to begin the referendum process. Only new laws or recent amendmen

The karst topography is formed by the actions of

What were the effects of the Treaty of Brest-Litovsk? Check all that apply. The treaty ended World War I. Russia withdrew from the war. Germany could turn all i

The coordinates of three vertices of rectangle are A(1,-5),B(1,3),and C(10,3). Find the coordinates of the fourth vertex. Then, find the area of the rectangle.

The statement we hold these thruths to be self evident that all men are created equal that they are endowed by their creator with certain unalineable rights tha

What was the reaction of the Canadian government to request by Jews to emigrate to Canada in the 1930's?

what is another way to say Yo no estudio biologia nunca ? A nadie estudia biologia. B Yo nunca estudio biologia. C Yo siempre estudio biologia. D Tampoco estudi

If you were living in Canada in 1938, you might not have been able to change immigration policy. What would you have done, as a person of faith and compassion t

a bowl contains 80 M&M candies If 15 are orange what fraction of the candies is NOT orange. Answer reduced to lowest terms

theleangreenbean theleangreenbean · Answer 1 · 2022-10-12T01:14:26+02:00

Unit Analysis

Unit analysis is a helpful tool we can use to convert units.

All we have to do is multiply the original value by a fraction, to cancel out the units that we don't want.

Solving the Question

We're given:

Change [tex]\dfrac{20\hspace{4}miles}{hour}[/tex] to [tex]\dfrac{x\hspace{4}feet}{second}[/tex]

There are a couple things we need to know before we tackle this question:

5280 in 1 mile: [tex]\dfrac{5280\hspace{4}feet}{mile}[/tex]
60 seconds in 1 minute: [tex]\dfrac{60\hspace{4}seconds}{minute}[/tex]
60 minutes in 1 hour: [tex]\dfrac{60\hspace{4}minutes}{hour}[/tex]

Step 1 ⇒ Multiply [tex]\dfrac{20\hspace{4}miles}{hour}[/tex] by [tex]\dfrac{5280\hspace{4}feet}{mile}[/tex] to change miles to feet:

[tex]\dfrac{20\hspace{4}miles}{hour}\times\dfrac{5280\hspace{4}feet}{mile}\\\\= \dfrac{20\times5280\hspace{4}feet}{hour}\\\\= \dfrac{105600\hspace{4}feet}{hour}[/tex]

Step 2 ⇒ Multiply [tex]\dfrac{105600\hspace{4}feet}{hour}[/tex] by [tex]\dfrac{hour}{60\hspace{4}minutes}[/tex] to change hours to minutes:

[tex]\dfrac{105600\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{105600\hspace{4}feet}{60 minutes}\\\\=\dfrac{1760\hspace{4}feet}{minute}[/tex]

Step 2 ⇒ Multiply [tex]\dfrac{1760\hspace{4}feet}{minute}[/tex] by [tex]\dfrac{minute}{60\hspace{4}seconds}[/tex] to change minutes to seconds:

[tex]\dfrac{1760\hspace{4}feet}{minute}\times\dfrac{minute}{60\hspace{4}seconds}\\\\= \dfrac{1760\hspace{4}feet}{60\hspace{4}seconds}\\\\= \dfrac{29.3\hspace{4}feet}{second}[/tex]

Answer

[tex]\dfrac{29.3\hspace{4}feet}{second}[/tex]