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?
200/40 = ?
1.)Explain why ironing boards always remain parallel to the floor and can be adjusted for people of various heights. You may want to consider the following:
a.The legs of the board are built so that AD = BD and DE = DF, and ADF and BDE are straight lines as shown.
b.Which angles are equal? Why?
c.Join EF. Which triangles are similar? Why? Name three other objects that demonstrate this property and explain why they are designed in that way.
To determine how long you can listen to the radio station before the signal fades, we need to calculate the time it takes to travel across the diameter of the signal.
Given:
- Radius of the radio station signal: 100 miles
- Constant driving speed: 40 miles per hour
First, we need to find the diameter of the signal by multiplying the radius by 2:
Diameter = 2 * 100 miles = 200 miles
Next, we can calculate the time it takes to travel the distance of the diameter at a constant speed of 40 miles per hour using the formula:
Time = Distance / Speed
Time = 200 miles / 40 miles per hour = 5 hours
Therefore, you can listen to the radio station for approximately 5 hours before the signal fades if you drive directly across the diameter of the signal at a constant speed of 40 miles per hour.
To find out how long you can listen to the radio station before the signal fades, we need to determine the time it takes to travel across the diameter of the signal.
The radius of the signal is given as 100 miles, so the diameter will be twice that, which is 200 miles.
You mentioned that you are driving at a constant speed of 40 miles per hour. So, to calculate the time it takes to travel 200 miles, we can use the formula:
Time = Distance / Speed
Plugging in the values, we have:
Time = 200 miles / 40 miles per hour
Time = 5 hours
Therefore, you can listen to the radio station for approximately 5 hours before the signal fades, assuming you maintain a constant speed of 40 miles per hour and travel directly across the diameter of the signal without any stops or detours.