Question

The conversion factor relating miles to meters is
1mile=1610m
.
The speed of light is
3.00×
10
8
 m/s
. How fast is this in miles per hour (
miles/h
)?

Answer 1

I got 10800000=10.8 x 10^5 miles/h

Answer 2

@Vocaloid

Answer 3

hm not quite, a quick search tells me it should be in the 600,000,000 range

so the first step would be to convert meters to miles by dividing by the conversion factor 1610m to miles

(3e8)/1610 = 186335.403726 ish

now that we have miles/second we just divide by 3600 since there are 3600 seconds in an hour

Answer 4

nonono, from (3e8)/1610 = 186335.403726 meters/second we ~divide~ by 3600 to get to seconds whoops

Answer 5

51.75983437

Answer 6

** meant to say multiply

Answer 7

so 186335.403726 * 3600

Answer 8

670807453.4136

Answer 9

Wait :S

Answer 10

yeah that should be it

w/ sig figs it ends up being like 6.71 * 10^8 mph

Answer 11

The conversion factor relating feet to meters is
1ft=0.305m
. Keep in mind that when using conversion factors, you want to make sure that like units cancel leaving you with the units you need.
You have been told that a certain house is 164
m
2
in area. How much is this in square feet?

Answer 12

164 m^2(1ft/0.305m)=164^2*0.305=8203.28

Answer 13

this is a good question because square units require squared conversion factors

if 1ft=0.305m

then 1ft^2 = 0.305m^2

so 164 m^2 * (1ft^2/ 0.305m^2) should do it

Answer 14

164 m^2 * (1ft^2/ 0.305^2 m^2) should do it

Answer 15

1762.966944

Answer 16

so 1763

Answer 17

@Vocaloid

Answer 18

@jhonyy9

Answer 19

what is your question ?

Answer 20

the speed of light is 3×10^8 m/s

do you know this ?

Answer 21

@Vocaloid

Answer 22

hm, close, since we are only given 3 sig figs then it's 1760

Answer 23

COuld you explain what I did wrong?

Answer 24

did the program say it was wrong? that's weird

Answer 25

No no lol its right . I just wante dto see where I made my mistake

Answer 26

oh

this part 164 m^2 * (1ft^2/ 0.305^2 m^2) = 1762.966944 is good

since the number given in the problem is 164, that only has 3 sig figs so we round 1762.9 whatever down to 1760

Answer 27

oh okay so we would go down vs. go up to 1763?

Answer 28

1763 has 4 sig figs

the rules of rounding say that the 6 has to be rounded down because 3 < 5

so we round down to 1760

Answer 29

okay understood. thanks