Answer:
Option B, At least three will have the transponder
Step-by-step explanation:
<u>Step 1: Find the probability in 6 cars</u>
6 * %80 or 6 * 0.8
4.8
Answer: Option B, At least three will have the transponder
Miles, yards, feet, inches
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:
Step-by-step explanation:
You have to start by taking away $55 from the 2300. The 55 does not get exchanged.
2300 - 55 = 2245
1 US dollar = 12.6577 pesos
2245 US dollars = x Cross multiply
x = 12.6577 * 2245
x = 28416.54 pesos. (rounded to 2 places)
So we can think of this as two semi circles and a rectangle. The rectangle has two exposed sides, meaning there are only two sides that should be accounted for in the overall perimeter. So for the rectangle, the exposed perimeter is 720. Because total there is a full exposed circle (2 half circles) we can find the perimeter (circumference) and add it to 720. In order to find the circumference we multiply diameter by pi. This is approximately 691.15. This added to the 729 gives us a total of 1411.15