MATHEMATICS MIDDLE SCHOOL

A radio station's signal has a radius of 100 miles. If you drive at a constant speed of 40 miles an hour, nonstop, directly across the diameter of the signal, how long can you listen to the station before the signal fades?

Answers

Answer 1
Answer: The radius is 100 miles . . . so the diameter is 200 miles (100 miles towards the transmitter and 100 miles going away.

At 40mph it takes 5 hours to drive 200 miles, therefore you could listen to the station for 5 hours.
Answer 2
Answer:

You can listen to the station for 5 hours before the signal fades

Further explanation

Acceleration is rate of change of velocity.

\large {\boxed {a = (v - u)/(t) } }

\large {\boxed {d = (v + u)/(2)~t } }

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem!

Given:

Radius of Signal = R = 100 miles

Speed of Car = v = 40 miles/hour

Unknown:

Time Taken = t = ?

Solution:

\texttt{Time Taken} = \texttt{Distance} / \texttt{Speed of Car}

\texttt{Time Taken} = \texttt{Diameter of Signal} / \texttt{Speed of Car}

\texttt{Time Taken} = \texttt{2 x Radius of Signal} / \texttt{Speed of Car}

\texttt{Time Taken} = 2 * 100 / \texttt{40}

\texttt{Time Taken} = 200 / 40

\texttt{Time Taken} = 5 \texttt{ hours}

Learn more

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Signal , Radio , Station , Fade , Nonstop

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Answers

Alright so .25 oz is 1/4 of 1oz.  Therefore you take 28 and divide it by 4 and get 7.

Then take 3500 and divide it by 7 which makes 500 thumb tacks.

I think idk though.

Final answer:

To find out how many thumbtacks are in the box, first convert the total mass of the box from grams to ounces using a conversion factor. Then, divide the total weight of the box in ounces by the weight of one thumbtack.

Explanation:

To answer the question about the number of thumbtacks in a box totaling 3500g in mass, we first need to convert the total mass of the box to the same units as the mass per thumbtack, in this case, ounces.

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brainly.com/question/32030244

#SPJ11

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Answers

The best thing to do is either to find a common denominator or convert them to decimals.
I will find a common denominator.
A common denominator of 3 and 5 is 15.
You multiply the first fraction by 5
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Answers

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