247x82=534 5 go in the hundreads place 3 go in the tens place and 4 go in the ones place
Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
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Answer:</h2>
<u>The length is</u><u> 250 meters</u>
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Step-by-step explanation:</h2>
If we look at the left corner of the diagram we see a scale. According to the scale factor of the map
1 cm :1000 cm
The length of the lap on the map is 25 cm
So (25 × 1000) = 25000 cm
Since
1 meter = 100 centimeter
So the actual length of the lap = 25000 ÷ 100 = 250 meters
