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forsale [732]
3 years ago
12

A cyclist rides her bike at a rate of 2 meters per second. What is this rate in kilometers per hour? How many kilometers will th

e cyclist travel in 3 hours? Do not round your answers.
Mathematics
1 answer:
Oksanka [162]3 years ago
8 0

The speed v is 12 m/s.

 

You need to convert the seconds to hours  and meters to kilometers:

 

3600s = 1 hr

 

If you divide 3600 on both sides you will get

 

1 s = (1/3600) hr

 

 

1000m = 1 km

 

If you divide 1000 on both sides you will also get

 

1 m = (1/1000) km

 

 

v = [(12/1000) km] / [(1/3600) hr]

 

v = [(12*3600)/1000] km/hr

 

v = 216/5  km/hr

 

 

The distance in 4 hours is

 

d = [(216/5) km/hr] * 4hr

 

d = 864.50 km

This is why your answer should be 12 m/s

Hope this helps!! - Queenb369

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3 years ago
Line m is parallel to line p. m ∠ HEF = 39º and m ∠ IGF = 13º. Find the m ∠ EFG. Explain in detail how you know you are correct.
svetlana [45]

Answer:

The measure of ∠EFG is 52°

Step-by-step explanation:

Given line m is parallel to line p. m∠HEF = 39º and m∠IGF = 13º.we have to find m∠EFG.

In ΔJFG,

By angle sum property of triangle, which states that sum of all angles of triangle is 180°

m∠FJG+m∠JGF+m∠JFG=180°

⇒ 39°+13°+m∠JFG=180°

⇒ m∠JFG=180°-39°-13°=128°

As JFE is a straight line ∴ ∠JFG and ∠EFG forms linear pair

⇒ m∠JFG+m∠EFG=180°

⇒ 128°+m∠EFG=180°

⇒ m∠EFG=52°

The measure of ∠EFG is 52°

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Tpy6a [65]
12 divided by 3/4 =
16

<span>It is 16 because the reciprocal of 3/4 is 4/3 and 12 as a fraction is 12/1. So 12/1 x 4/3 is 48/3. And if you divide 48 by 3 you will get 16. If you don't get 16 then you did the wrong calculation.</span>

Hope I Helped You!!! :-)

Have A Good Day!!!
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3 years ago
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