The distance between two points A and B on latitude 60°S along their parallel of latitude is 2816km. (I) calculate the angular difference in their longitudes (ii) if A is due west of B and on longitude 20°W, find the longitude of B

Answers

Answer 1

Answer:

i) The angular difference in their longitude is approximately 50.65°

ii) The line of longitude where B is located is approximately 30.65°E

Step-by-step explanation:

The given parameters are;

The angle of latitude where the points A and B are located = 60°S

The distance between points A and B = 2,816 km

(i) The angular difference in their longitude, θ, is given as follows;

θ = 2,816/(2 × π × 6,371 × cos(60°)) × 360 ≈ 50.65°

The angular difference in their longitude, θ ≈ 50.65°

(ii) The location of the point A relative to B = Due west

The line of longitude on which A is located = 20°W

∴ The line of longitude where B is located, P = θ - 20°

∴ P = 50.65° - 20°W = 30.65°E

The line of longitude where B is located ≈ 30.65°E.


Related Questions

Is 1/10 a rational number

Answers

Answer:

yes i believe so

Step-by-step explanation:

a rational number is a number that can be written as a fraction, and 1/10 is a fraction. hope this helps

Answer: yes.

Step-by-step explanation:

a rational number is any number which can be expressed as a fraction p/q where p and q are integers and q is not equal to zero. In this fraction both numerator and denominator are natural numbers so 1/10 is a rational number!

How do two different genres address a similar topic?

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What are the options?

Write an equation
use g, 21,7
____ = ____ * _____

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Answer:7g=21

Step-by-step explanation:

The answer is:
21= 7*g

I just think that this

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Answer:

i just think that this...

i.d.k his hair looks a little weird tho

Answer:

Chase

Step-by-step explanation:

Can you help me with this

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-8/14 answer hope it helps

does anyone know how to do this?

Answers

Answer:

mRS = 116

Step-by-step explanation:

If Segment SR ≅ TU then, arc SR ≅ arc TU

Thus, 6x - 28 = 4x + 20

                       ^ ( note that this is the equation we will use to solve for x )

6x - 28 = 4x + 20  

step 1 add 28 to each side

28 + -28 cancels out

28 + 20 = 48

we now have 6x = 4x + 48

step 2 subtract 4x from each side

6x - 4x = 2x

4x - 4x cancels out

we now have 2x = 48

step 3 divide each side by 2

2x / 2 = x

48 / 2 = 24

we're left with x = 24

Now to find the value of arc RS we substitute x with 24 in arc RS' given expression

arc RS = 6x - 28

* substitute x with 24 *

arc RS = 6(24) - 28

6 * 24 = 144

144 - 28 = 116

Hence, arc RS = 116

Answer:

Answer : mRS equals 116.

22.a) A fruit vendor bought 1948 oranges on a Thursday and sold 750 of them on the same day.
On Friday, he sold 240 more oranges than on Thursday. On Saturday, he bought 560 more
oranges. Later the day, he sold all the oranges he had at a price of Ksh. 8 each. Calculate the
amount of money the vendor obtained from the sales of Saturday. (5 marks).​

Answers

Answer: Ksh 6144

Step-by-step explanation:

On Thursday, a fruit vendor bought 1948 oranges on a Thursday and sold 750. The number of oranges left will be: = 1948 - 750 = 1198

On n Friday, he sold 240 more oranges than on Thursday. This means the number of oranges sold is: = 240 + 750 = 990.

The number for f oranges left will then be: = 1198 - 990 = 208

On Saturday, he bought 560 more

oranges, the total oranges that the vendor has now will be:

= 208 + 560 = 768

Since sold all the oranges he had at a price of Ksh. 8 each, the amount if money made will be:

= Ksh 8 × 768

= Ksh 6144

The vendor made Ksh 6144

What type of number is
5
6
A) rational
B) irrational
C) integer
D) whole
I don't know

Answers

Answer:

A) rational number

Step-by-step explanation:

56 is a rational number because it can be expressed as the quotient of two integers like 56 ÷ 1.

Answer: Im gonna say rational number...  

Step-by-step explanation: Why? Because it can be expressed as the quotient of two integers.

I hope this helps:)))

Debbie is paid monthly and earns $1280.50 per month.Ashley is paid weekly and gets $295.25 per weeks

Answers

Answer:

Debbie makes more money.  

Step-by-step explanation:

SOMEONE PLEASE HELP ITS WORTH 20 POINTS

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Answer:

Isosceles Triangle... Btw it's worth 5 points

Find the volume of a cube if its area of four walls is 16 cm square.

Answers

[tex] \longmapsto \: side = \frac{16}{4} = 4 \\ \longmapsto volume = 4 {}^{3} = 64[/tex]

GIVING BRAINLIEST!! PLS HELP :((

Bella chose a power of 10 and multiplied it with 23. The product is 2,300,00. What power of 10 did bella chose?

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The answer is 2 to the power of 6

Answer: I believe it is 10^5

Step-by-step explanation:

How to solve the variables

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Heyyyyyyyy how u doing I. Doing good how abt yo self

i will give brainliest

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B is the answer that I got

Can you help me with this

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Answer:

m = 2

Step-by-step explanation:

Slope = rise/run or (y2 - y1) / (x2 - x1)

We see the y increase by 4 and the x increase by 2, so the slope is

m = 4/2 = 2

So, m = 2

7. You are taking a survey. You ask five students which movie they prefer-Black Panther, Captain Marvel, or Avengers: Endgame. What is the probability that all five students picked the Avengers: Endgame movie?

Answers

Answer:

Coming from a student, pretty dang high. Captain Marvel was boring and Black Panther wasn't all that great compared to endgame. Sure, it was good but Endgame was the ending of a legacy. All the films over the years led up to endgame.

Step-by-step explanation:

Can you help me with this

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Answer:

I have graphed a line with a slope of 3/5 and attached a screenshot in the explanation.

Step-by-step explanation:

Which of these best describes the location of (2,-7) on a coordinate grid?

Question 2 options:

Quadrant I


Quadrant II


Quadrant III


Quadrant IV

Answers

Answer:

Quadrant IV (Quadrant 4)

Step-by-step explanation:

with the positive x value, it tells that the point will either be in Quadrant I or Quadrant IV

with the negative y value, we can find that it is in Quadrant IV, because all points in Quadrant IV are (+, -)

is this the right answer??

Answers

Answer:

yes

Step-by-step explanation:

If there are no horizontal points on the graph that are even with other horizontal points on the graph, then the graph is a function.

Can someone help me really quick please.. I cant remember how to do this

X+3=5

Answers

Answer:

x= 2

Step-by-step explanation:

X+3=5

x=5-3

x=2

hope it helps  

stay safe love u

btw can i get brainliest

Answer:

x = 2

Step-by-step explanation:

In algebra, we take out the operations so we just have x on the left side.

We need to take out the 3.

So we are going to subtract 3 form the left side of the equation and we are gonna subtract it from the right side of the equation.

X+3-3 = 5-3

So:

x = 2

Thats your answer

Hope this helps

A room is 90 inches wide and 245 inches long. What is the area of the room?

Answers

Answer:

22050 inches

Step-by-step explanation:

To find the area, multiply length times width.

90*245=22050.

So, the room is 22050 square inches.

Answer:

22050

Step-by-step explanation:

f(x) = x2 What is g(x)?

Answers

Answer:

A

Step-by-step explanation:

since x=2 n y=1

this is proven correctly in A

g(2)=0.25(2)²

=0.25×4

=1

HELP DUE IN 10 MINS!

Given that QUAD is a rectangle, QS = 17, and QD = 16 find the length of DU and QU.

DU =??

QU =??

Answers

Answer:

DU = 34

QU = 30

Step-by-step explanation:

DU = 34 since the diagonals of a rectangle are congruent, Diagonal QA would be 17 * 2 and so would be Diagonal DU.

QU = 33.045, according to me the base of a triangle;

b = [tex]2\sqrt{l^2-h^2}[/tex], height would be half the length of QD = 8

b = 2[tex]\sqrt{17^2 -8^2}[/tex]

b = 30

Hope this helps!

Find the equation of the line

Answers

Answer:

y = 4x + -9

Step-by-step explanation:

Please help me lol

8=t/-3+4

Answers

Answer:t=-12

and if want step by step just look the equation up on the internet and it will be there step by step

     

A rectangular prism measures 8 inches in width, 12 inches in length, and 4 inches in height. What is the surface area of the prism?​

Answers

Answer:

352

Step-by-step explanation:

Simply you would just add all the side areas together. Since it is a rectangular prism, there are six sides with parallel sides. You have 8 inches as the width x2, 12 inches in length x2, and 4 inches in height x2. Height is 4, so you would multiply that with the side length of 12 getting 48 and since there are 2, it would be 96. Then again multiply the height with the width of 8 inches to get the area of 32 and since there are two of those it would equal 64. Lastly you have length and the width so multiply 8 and 12 to get 96. There are also two of those so you would have 192. In total, you have 96, 64, and 192 so together this would be 352. Your surface area is 352.

help!!!!!!!!!!!!!!!!!​

Answers

-3.5, -3, -2 1/2, -2, 2.5

Answer:

-3.5, -3, -2½, -2, 2.5

Step-by-step explanation:

hope you have a great day!

What are all values of $p$ such that for every $q>0$, we have$$\frac{3(pq^2 p^2q 3q^2 3pq)}{p q}>2p^2q

Answers

The values of p that satisfy the inequality for all[tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

Given:[tex]$$\frac{3(pq^2 p^2q 3q^2 3pq)}{p q} > 2p^2q^2$$[/tex]

Step 1: Multiply both sides by [tex]$\frac{pq}{3}$[/tex] to get: [tex]$$pq^3 p^2q 3q^2 3pq > 2p^2q^3$$[/tex]

Step 2: Simplify the left side to get: [tex]$$3p^2q^3+3pq^3+3q^2 > 2p^2q^3$$[/tex]

Step 3: Divide both sides by [tex]$q^2$[/tex] to get: [tex]$$3p^2q+3pq+3 > 2p^2$$[/tex]

Step 4: This is a quadratic inequality in[tex]$p$[/tex]with solution[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all  [tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and [tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]

the given inequality can be simplified to a quadratic inequality in p by multiplying both sides by[tex]$\frac{pq}{3}$[/tex], simplifying the left side, and dividing both sides by[tex]$q^2$[/tex] The solution of the quadratic inequality is

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex] and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex]. Therefore, the values of p that satisfy the inequality for all [tex]$q > 0$[/tex] are

[tex]$p > \frac{3+\sqrt{21}}{2}$[/tex]and

[tex]$p < -\frac{3+\sqrt{21}}{2}$[/tex], which means that any value of p that is greater than[tex]$\frac{3+\sqrt{21}}{2}$[/tex] or less than

[tex]$-\frac{3+\sqrt{21}}{2}$[/tex]will satisfy the inequality for all [tex]$q > 0$[/tex]

Learn more about inequality here

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I think I know the y but for the x I have no idea, if you can give me both of them it would be great!

Answers

Answer:

x = 78°

y = 115°

Step-by-step explanation:

So you can tell that y is 115° right off the bat because they are corresponding angles. However, you can't say that x is 102° because they are not alternate interior nor alternate exterior. Instead, you have to subtract 102, y, and 75 from 360 to get x.

360 - 115 - 65 - 102 = 78

On a negatively skewed curve, which is true?

Answers

A negatively skewed distribution, sometimes referred to as a left-skewed distribution, is a kind of distribution where more values are clustered on the right side (tail) of the scatterplot but the left tail of the distribution graph is longer.

What is accurate about adversely skewed?

The mean of positively skewed data will be lower than median in a distribution that has a negative skewness, which is the exact reverse of what would be expected. The distribution exhibits zero skewness if the data is graphed symmetrically, regardless of how long or thick the tails are.

What occurs in a distribution that has a negative skew?

More values are plotted on the graph's right side, the distribution's tail is longer on the left, and the distribution is said to be negatively skewed.

To know more about negatively skewed distribution visit:

https://brainly.com/question/1604092

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