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Contact [7]
3 years ago
14

b. From where the shoes spilled (48°N, 161°W) to where they were found on May 22nd 1996 (54°N, 133°W), how many kilometers did t

hey travel? How many days did they take to travel that distance (use April 30 as the date found)? What was their rate of travel in kilometers per hour?
Mathematics
1 answer:
dsp733 years ago
3 0

To find kilometers using latitude and longitude:

distlon = lon2 - lon1   = 133-161 = -23

distlat = lat2 - lat1  = 54-48 = 6

a = (sin(distlat/2))^2 + cos(lat1) * cos(lat2) * (sin(distlon/2))^2  

a = (sin(6/2)^2 + cos(48)*cos(54)* sin(-23/2)^2

c = 2 * arctan2( sqroot(a), sqroot(1-a) )  

d = R * c (where R is the radius of the Earth, 6373 km's)

d = 2052 km's

April 30th to May 22nd is 23 days.

23 days x 24 hours per day = 552 hours.

Rate of travel = 2052 / 552 = 3.717 km per hour ( round answer as needed.)

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I'm new to this and I dont really understand this
agasfer [191]

Answer:

So starting off with 1a f(4)

We simply substitute x with 4 for the function

f(4)=2(4)-5

f(4)=8-5

f(4)=3

Next 1b, here it's a little different since you have to multiply the functions I think ( please correct me if I'm wrong).

gf(4), basically means functions g and f are being multiplied and their variables are being substituted with 4.

g(4)=4^2+3

g(4)=16+3

g(4)=19

and we also know from before that f(4)=3, so we'll do 19 times 3 which is 57

For the next two, I may be wrong, but I'm still going to try:

anything to the power of a negative is a fraction so for f^-1(x)=2x-5 we'll have 1/f(x)=x/2+5/2

And then for g^-1, we'll have 1/g(x)=\sqrt{x-3}  \sqrt{x-3}

Hope I helped :)

5 0
2 years ago
Which of these R-values represents the weakest correlation?
Elza [17]
D is the answer to your question
4 0
3 years ago
Read 2 more answers
6.5yd and 11yd<br> please find the area
Afina-wow [57]
Multiply length times width to find the area. 6.5x11= 71.5
3 0
3 years ago
Two-fifths of one less than a number is less than three-fifths of one more than that number. What numbers are in the solution se
yaroslaw [1]
2/5 * (n - 1) < 3/5 * (n + 1)
2/5 * n - 2/5 < 3/5 * n + 3/5
- 2/5 - 3/5 < 3/5 * n - 2/5 * n
- 5/5 < 1/5 * n
- 1 < 1/5 * n      /*5
- 5 < n
n > - 5

n = x

The correct result would be B) <span>x > - 5.</span>
7 0
3 years ago
Read 2 more answers
everyday Penelope jogs three laps around the playground to keep in shape the playground is rectangular with the width of 163 m a
Veronika [31]

Answer:

The total amount of meters in one lap is 966

Step-by-step explanation:

we know that

The total amount of meters in one lap is the same that the perimeter of the rectangular playground

so

The perimeter of the rectangular playground is equal to

P=2(L+W)

we have

L=320\ m\\W=163\ m

substitute

P=2(320+163)

P=966\ m

3 0
3 years ago
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