Answer:
The Answer is B
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here diameter = 12, thus radius = 12 ÷ 2 = 6 and (h, k) = (2.5, - 3.5), thus
(x - 2.5)² + (y - (- 3.5))² = 6², that is
(x - 2.5)² + (y + 3.5)² = 36 ← equation of circle
7 1/2 = 15/2 = 60/8
4 7/8 = 39/8
60/8 + 39/8 = 99/8 = 12 3/8 yards
Answer:
Temperature on Tuesday morning is 
.
Step-by-step explanation:
Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.
In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;
Temperature on Tuesday = -14 + (-4)
= -14 -4
= -18
Therefore, the temperature on Tuesday morning is .
Answer:
100.9 yards
Step-by-step explanation:
One circuit of the track is a distance of ...
C = 2πr = 2π(60 yd) = 120π yd.
At Alex's running rate, the distance covered in 20 minutes is ...
(4 yd/s)(20 min)(60 s/min) = 4800 yd
The number of circuits will be ...
(4800 yd)/(120π yd/circuit) = 40/π circuits ≈ 12.7324 circuits
The last of Alex's laps is more than half-completed, so the shortest distance to his starting point is 13 -12.7324 = 0.2676 circuits,
That distance is (0.2676 circuits)×(120π yd/circuit) ≈ 100.88 yd
The shortest distance along the track to Alex's starting point is about 100.9 yards.
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<em>Additional comment</em>
The exact distance is 120(13π-40) yards. The distance will vary according to your approximation for pi. If you use 3.14, this is about 98.4 yards.
