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Given the radius of 50 miles and the line joining the cities at (0, 56) and (58, 0), the transmitter signal can be picked during 59.24 miles of the drive.
<h3>How can the duration of signal reception be found?</h3>
Radius of broadcast of the transmitter = 50 miles
Location of starting point = 56 miles north of the transmitter
Location of destination city = 58 miles east of the transmitter
Therefore we have;
Slope of the line joining the two cities
= 56 ÷ (-58) = -0.966
Which gives the equation of the line as follows;
y = -0.966•x + 56
The equation of the circle is;
1.933156•x^2 - 108.192•x + 636 = 0
Which gives;
Therefore;
When x = 6.67, we have;
- y = -0.966 × 6.67 + 56 = 49.56
When x = 49.29, we have;
- y = -0.966 × 49.29 + 56 = 8.4
The length of the drive, during which the driver can pick the signal, <em>l</em>, is therefore;
l = √((49.56-8.4)^2 + (49.29-6.67)^2) = <u>59.24 miles</u>
- The length of the drive during which the signal is received is 59.24 miles
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Answer:
Option B is correct that is amount she is getting per bottle is $0.15
Step-by-step explanation:
We have been given the information that melisande collected 14 bottles on saturday and 9 bottles on sunday
That means she has collected total of 23 bottles
Let us assume that the amount she is paid for recycling is $b
Since, she is left with $3.20 after the amount she gets for bottles we will get the equation below:
23b=3.20
Now, since she has to pay one time service fee equation will become
23b -0.25 =3.20
After simplification we will get
23b=3.20+0.25=3.45
b=3.45/23=.15
b=$0.15
Therefore, The amount she is getting per bottle is $0.15
Answer:
i
Step-by-step explanation:
I am not sure check with others
