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
Learn more about the equation of a circle here:
brainly.com/question/502872
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1/2 hr* (5 miles/ 1 hr)= 2.5 miles.
2 1/2 hrs* (5 miles/ 1 hr)= 12.5 miles.
Malia runs 2.5 miles and 12.5 miles in 1/2 hr and 2 1/2 hrs respectively.
Hope this helps~
Answer:
-8x-6 or -8x+-6.
Step-by-step explanation:
The volume of a sphere is 4/3 * pi * r³ so substitute the values in
4/3 * pi * 2³
4/3 * pi * 8
32/3 * pi
The volume is either 32/3pi units³ or 33.49 units³ (they're the same value)
I hope this helps!