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AveGali [126]
3 years ago
14

The Positions of Abuja (Nigeria) and Bonn (Germany) to the Nearest degree are (9°N,7°E)and (51°N,7°E) respectively.(use R=6400km

to calculate their distance apart to 2s.f)​
Mathematics
1 answer:
Stels [109]3 years ago
8 0

Answer:

4656.46km

Step-by-step explanation:

Given that:

Abuja (Nigeria) = (9°N,7°E)

Bonn (Germany) = (51°N,7°E)

Longitudinal difference = 51 - 9 = 42°

Radius of the earth (R) = 6400

Distance = θ/360 * 2πr

r = Rcos7° = 6400 * cos7 = 6352.2953

Hence,

Distance = (42/360) * 2 * 3.142 * 6352.2953

Distance = 0.1166666 * 2 * 3.142 * 6352.2953

Distance = 4656.4757 km

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Have a look at the attached image to get a better sense of what is going on. Note the red slash marks to indicate cancellations. 

4 0
4 years ago
Consider independently rolling two fair dice, one red and the other green. Let A be the event that the red die shows 3 dots, B b
max2010maxim [7]

Answer:

A & B are independent events. A & C, B & C are not independent events.

Step-by-step explanation:

Independent Events are the events, whose occurrences are completely unrelated to each other.

Event A 'Red dice getting 3' & Event B 'Green die getting 4' ; are unrelated to each other. The numbers on red dice & on green dice are not dependent on each other.

Event C 'Red & Green dice numbers showing sum = 7' is dependent on the numbers coming on red & green dice , i.e events A & events B respectively. So, event C is dependent on both events A & B.

4 0
4 years ago
I don't understand this... please help :(
viktelen [127]

Answer:

Radius is the distance from the center of the circle to the edge (if you were to cut just a slice of pizza)

diameter is directly in the middle from one end to the other (if you were to cut the pizza in half)

this means that the diameter is DOUBLE the radius

circumference is the length of the outside of the circle (so the length of the pizza crust)

this one is tricky because to find circumference you need to do  2\pi r (r is the value of the radius)

so for problem 1 the radius is 3 cm (the line is equivalent to if you were trying to cut out one slice of pizza)

the diameter is DOUBLE the radius, so if you were to cut the pizza in half all the way it would be 6 cm

and the circumference (2\pi r) is 2 * pi * 3 cm

because it says to round pi to 3.14, the circumference would be 18.84

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3 0
3 years ago
Read 2 more answers
Given f(x) = x^2 – 3x – 2, what is f(5)?
miskamm [114]

Answer:

f(5)=8

Step-by-step explanation:

Given function: f(x)=x^2-3x-2

To find f(5), simply input x=5 into the function:

\begin{aligned}\implies f(5) & =5^2-3(5)-2\\& = 25-15-2\\& = 10-2\\& = 8\end{aligned}

5 0
2 years ago
Read 2 more answers
Numbers 1 - 10 are written on cards and placed in a bag. Find the probability of choosing a number greater than 5 or choosing an
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{1,3,5,7,9} {6,7,8,9,10} 

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There are 8 numbers here out of the 10 possible.

So the answer for this question is 8/10 or 4/5.

6 0
3 years ago
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