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shusha [124]
3 years ago
15

Will measures the distance around a tree using a tape measure as 48 inches. Use this measure to find the diameter of a cross sec

tion of the tree.
Mathematics
1 answer:
marin [14]3 years ago
6 0

Answer: Assume the cross section is taken at the same height where the circumference was measured. Then


48/3 = 16 inches, close enough, actually. Trees aren't cylinders.


48 × 7 / 22 inches = 15.2727272

48/3.1415926 = 15.2788747

48/pi = 15.2788745368219522338128412837... ☺️



Step-by-step explanation:

circumference / diameter = pi = 3.1415926......

So diameter = circumference / pi.


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Ket [755]

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

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Which gives the equation of the line as follows;

y = -0.966•x + 56

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{x}^{2}  +  { ( - 0.966x + 56)}^{2}  =  {50}^{2}

1.933156•x^2 - 108.192•x + 636 = 0

Which gives;

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Therefore;

When x = 6.67, we have;

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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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