The ratio of book price to number of pages for the ordered pairs a, b , and c are:
- <em>A = 0.05</em>
- <em>B = 0.05</em>
- <em>C = 0.043</em>
The ratio of book price to number of pages can be evaluated for each ordered pairs as follows;
Therefore, ratio of book price to number of pages for the ordered pairs a, b , and c are:
a = 0.05
b = 0.05
c = 0.043
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Answer:
The rate at which the distance between them is changing at 2:00 p.m. is approximately 1.92 km/h
Step-by-step explanation:
At noon the location of Lan = 300 km north of Makenna
Lan's direction = South
Lan's speed = 60 km/h
Makenna's direction and speed = West at 75 km/h
The distance Lan has traveled at 2:00 PM = 2 h × 60 km/h = 120 km
The distance north between Lan and Makenna at 2:00 p.m = 300 km - 120 km = 180 km
The distance West Makenna has traveled at 2:00 p.m. = 2 h × 75 km/h = 150 km
Let 's' represent the distance between them, let 'y' represent the Lan's position north of Makenna at 2:00 p.m., and let 'x' represent Makenna's position west from Lan at 2:00 p.m.
By Pythagoras' theorem, we have;
s² = x² + y²
The distance between them at 2:00 p.m. s = √(180² + 150²) = 30·√61
ds²/dt = dx²/dt + dy²/dt
2·s·ds/dt = 2·x·dx/dt + 2·y·dy/dt
2×30·√61 × ds/dt = 2×150×75 + 2×180×(-60) = 900
ds/dt = 900/(2×30·√61) ≈ 1.92
The rate at which the distance between them is changing at 2:00 p.m. ds/dt ≈ 1.92 km/h
Answer:
42 - (-24) = 66
Step-by-step explanation:
I'm not sure if this is the form of answer, but if you're subtracting a negative from a negative, you're adding a positive, so this is another way to write the expression.
Answer:
3) 180°-50°=130°
4)90°-50°=40°
Step-by-step explanation:
5)angle DEC=50°(VERTICAL OPPOSITE ANGLE)
x=50°-15°=35°
6)Y+30°+50°=180°(linear pair)
Y=180°-80°
Y=100°
Answer:
125
Step-by-step explanation:
