Have you ever wondered how sailors navigated the oceans before the Global Positioning System (GPS)? One method sailors used is called dead reckoning. How does deal
reckoning use mathematics to track locations? Could you use this method today?
1. In nautical navigation, it is common practice to use angle measures in degrees,
distances in nautical miles, and speed in knots (nautical miles per hour). The
relationship between miles per hour and knots is linear. (1 knot - 1.15078 mi/h)
Use this relationship to complete the chart to the nearest tenth of a mile.
knots
mi/h
5 knots
mi/h
10 knots
mi/h
15 knots
mi/h
20 knots
mi/h
2. a. If you are traveling at 8 knots for 45 minutes, how far will you have traveled in

i leave the calculator work to you.

7. diameter 4 miles, circumference 4π miles

8. radius 0.2 miles, circumference 0.4π miles

[this is a bad problem because the actual radius of a car on the track is less than 0.2 miles so the answer is less than 0.4π miles]

9. radius 6 feet, circumference 12π feet

10. diameter 14 cm, circumference 14π cm

11. diameter 4.8 feet, circumference 4.8π feet

6.9

step-by-step explanation:

simple math really

6 1/2 times 0.6 = 3.9

but if you are just doing 6 and not 6 1/2 then the answer is 3.6

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.