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)​

Answers

Answer 1

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


Related Questions

The ratio of sugar to flour in the recipe is 1 to
2. If you use 5 cups of sugar, how much flour do
you need to use?

Answers

Answer:

10 flour

Step-by-step explanation:

          1:2

         5:x     all you have to do is multiply by 2, sense the ratio is 1:2, flour will always be 2 times greater than sugar. so the answer is 5 x 2 =10

Olivia picked 256 strawberries from the orchards fields. she divided the strawberries evenly into 6 baskets. how many strawberries are in each basket? how many are left over?

Answers

Answer:

42 strawberries are in each basket. 4 strawberries are left over.

Step-by-step explanation:

To find out how many she put into each basket, you need to divide 256/6. Your answer should 42.6666667. Round down to 42.

To find out how many are left over, multiply 42 x 6. You need to do this to figure out how many strawberries total she used trying to put them evenly into the baskets. Your answer should be 252. Then, you subtract 256 - 252. You do this to find out how many are left over. Your answer is 4.

Line segment AB represents 20% of a longer line segment.What is the length of the longer line segment that is 100%

Answers

Answer and explanation:

If line segment AB is 25% then it is 25/100 or 1/4 of the longer line segment that is 100%

Let's assume the line segment AB is 8 inches in length(it is one quarter of the whole), then the longer line segment which is 100% will be 4 times line AB

4×8= 32 inches

Therefore if line segment AB is 8 inches long then the full length/ longer line will be 32 inches

what is the total angle measure of a 5 sided polygon

Answers

Answer:

540 degrees (interior angles)

Step-by-step explanation:

If skim milk is 87% water, how many cups of skim milk contain 3.58 cups of water?

Answers

Answer:

3.48 cups

Step-by-step explanation:

4 times 0.87

log3(2x-1)=3 help me out:(

Answers

Answer:

x = 2.

Step-by-step explanation:

(Brainliest?)

So log3(2x-1)+log3(x+7)=3 = log3(3^3) So (2x- 1)(x+7) = 27..... 2x^2+13x - 34 =0 (2x+17)(x - 2) = 0 ..so x = 2 or - 17/2. The solution x = - 17/2 is rejected since we cannot have log 3(2*- 17/2 - 1),a negative number. So the answer is x = 2.

Translate this phrase into an algebraic expression. 14 more than twice a number. Use the variable n to represent the unknown number.​

Answers

Answer:

I believe it's 2n+14

Step-by-step explanation:

Denise likes 2 teaspoons of milk in every 8-ounce cup of coffee she drinks. How many teaspoons of milk does Denise like per ounce of coffee? Write your answer as a fraction in simplest form]​

Answers

Answer:

1/4 teaspoons of milk to ounces of coffee

Step-by-step explanation:

Answer:

1/4 teaspoons of milk to ounces of coffee

Step-by-step explanation:

What is the answer to 7x^3 + 2y^3+ 11x^2 - 1 + 3x^3 + y^3

Answers

Answer:

10x^3+3y^3+11x^2-1

Step-by-step explanation:

Add common terms x and y together

10x^3+3y^3+11x^2-1

‐(5k – 3) ≤ 15 + 3k :) pls help

Answers

Answer:

k≥-1.5

Step-by-step explanation:

-(5k-3) ≤ 15 + 3k

-5k+3 ≤15 +3k

+5k            +5k

3≤15+8k

-15  -15

-12 ≤ 8k

divide both sides by 8

-1.5 ≤ k

or k≥-1.5

Hope this Helps!!!

Answer:

Fraction Form:

[tex]k=-\frac{3}{2}[/tex]

Decimal Form:

[tex]k=-1.5[/tex]

Mixed Number Form:

[tex]k=-1\frac{1}{2}[/tex]

Step-by-step explanation:

The image below shows step-by-step on how to solve for k.

Hope this helps! :)

find the slope of (6,2) (8,4)

Answers

Answer:

2/2 = 1

Step-by-step explanation:

y2 - y1           4 - 2          2            Equals 1

x2 - x1           8 - 6          2


What’s the slope of the line?

Answers

Answer:

Step-by-step explanation:

The line intercepts the points (-3,1) and (-3,2) so we can use these to find the slope. In order to connect the two points, we have to move down 4, and over 5. The equation for finding slope is rise over run which means the slope of this line is 4/5

Daniel goes to Target to buy a new pair of headphones. The headphones are normally $73, but they are currently on sale for 30% off. What is the sale price of the headphones?

Answers

9514 1404 393

Answer:

  $51.10

Step-by-step explanation:

If the price is reduced by 30%, it is now 70% of the original price:

  $70 × 0.70 = $51.10

The sale price of the headphones is $51.10.


Callum and Isabel have a total of 240 stamps.
The ratio of the number of Callum's stamps to the number of Isabels's stamps is 3:8
Callum buys some stamps from Isabel.
Please help I will award brainliest. :)
The ratio of the number of Callum's stamps to the number of Isabel's stamps is now 3:2
How many stamps does Callum buy from Isabel?
You must show all your working.

Answers

Original ratio: 3 + 8 = 11

240/11 = 21.818

3 x 21.818 = 65.5

11 x 21.818 = 174.5

New ratio: 3 + 2 = 5

240/5 = 48

3 x 48 = 144

2 x 48 = 96

Number of stamps bought = new amount - original amount:

144-65.5 = 78.5

Round to nearest whole number = 79 stamps bought

PLS HELP!!
N/2=-7
What does N=??

Answers

Answer:

[tex]n=-14[/tex]

Step-by-step explanation:

[tex]\frac{n}{2}=-7[/tex] (given)

[tex]n=-14[/tex] (times [tex]2[/tex] on both sides)

Hope this helps :)

which rule explains why these triangles are congruent ?

Answers

Answer:

ASA

Step-by-step explanation:

Angles K and N are congruent to each other, the sides with the ticks are congruent, and the angles H are congruent

can someone please help me on this question?

Answers

Answer:Hope this helps

6n=-3n-18

9n=-18

n=-2

Answer:

6n+9=-3n-21-6

6n+9=-3n-27

6n=-3n-36

9n=-36

n=-4

Hope this helps plz hit the crown and fill in the blanks like I did :D

Marcos is making bags of trail mix for hocking club he will use 22 ounces of walnuts 10.1 ounces of almonds and 26.4 ounces of cashews this amount makes 25 bags of trail mix. How many ounces are in each bag?

Answers

Answer:

2.34 ounces per bag

Step-by-step explanation:

Marcos is making bags of trail mix for hocking club he will use this amount makes 25 bags of trail mix.

The total ounces of nuts:

22 ounces of walnuts + 10.1 ounces of almonds + 26.4 ounces of cashews

= 58.5 ounces of nuts

25 bags = 58.5 ounces

1 bag = x ounces

x = 58.5 ounces/25 bags

x = 2.34 ounces per bag

⚠️⚠️Can some PLEASE help me this is my 4th time asking the same question! ⚠️⚠️

Answers

Answer:

Step-by-step explanation:

I guess I can simplify it for u....

12x 7y

______________

64x  8y

Hope this helps a bit :3

Triangle JKL is isosceles. The measure of angle J is 72 degrees and the measure
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Answers

Step-by-step explanation:

"which is the measure of angle L?"

the total angle measures of all angles on a triangle should always equal 180

72 + 36 = 108

180 - 108 = 72!

angle L is 72 degrees!

"which angle is the vertex angle?"

from my understanding, the angle opposite the base would be the vertex angle

since j and k are equal, we can only assume 36 is the vertex angle!

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Answer:

hi. I'm so sorry I just need to answer some questions. I'm sorry

Mhmmm heYyyy i need help lol

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im pretty sure u go by the dots so and the output im guessing is 2, 5, 8, 11, and 14 put on the output i think

Solve for the variable
2x + 10 = 30

Answers

Answer:

x=10

Step-by-step explanation:

30-10=20

20/2=10

2(10)+10=30

Answer:

x=10

Don’t hold me up on this but, I think this is the answer.

Nick has passed 4 math tests and Jason has not passed any math tests. Going forward, Nick plans to pass 2 tests per month and Jason plans to pass 6 tests per month. When the number of tests each student has passed are equal, how many tests will each student have passed?

Enter your answer as an integer

Answers

Answer:

6

Step-by-step explanation:

Nick  Tests 4. +2 every month. Jason Tests 0. +6 every month.

Meaning that on the first month Nick will have 6 and Jason will too.

Answer is 6. (in 1 month).

(a+3a²+2a³)-(-a³+a²)

Answers

Answer:

3a^3 + 2a^2+a

Step-by-step explanation:



Plz help I’m getting timed

Answers

Answer:

(0,6)

Step-by-step explanation:

1. Use the distributive property to simplify.
3 (a – 2c)

Answers

Answer:

3a-6c

Step-by-step explanation:

Hi there!

Let’s use the Distributive Property:

a(b+c)=ab+ac

Now, use this property to solve the given problem:

3(a-2c)

3a-6c (Answer)

Hope you find it helpful.

Feel free to ask if you have any questions.

-Sparkle-

A new iPhone cost $700. There is 8% sales tax in Philadelphia. What is the total cost of the iPhone including tax

Answers

Answer:

56

Step-by-step explanation:

im noy one hundred percent sure

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Answers

Answer:

Answer is the last one ,(A)

Step-by-step explanation:

Answer:

The answer is A -1/3

Amanda wants to call Maria. Maria is on vacation in Asia. It is a time difference of twelve hours. Maria's time is always later than Amanda's time. If it is 5:51 P.M. where Amanda lives, then what time is it where Maria is?​

Answers

Answer: 5:51 AM

Step by step:

12 hours more than 5:51 PM is 5:51 AM

Shakira went bowling with her friends. She paid $4 to rent shoes and then $5 for each game of bowling. If she spent a total of $39, then how many games did Shakira bowl?

VALID ANSWERS ONLY. IF NOT, YOU WILL BE REPORTED.

SHOW YOUR WORK

Answers

Answer:

7 games

Step-by-step explanation:

4+5x=39

5x=35

x=7

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