A man walks due west for 4 km. He then
changes direction and walks on a bearing of
197° until he is south-west of his starting point.
How far is he then from his starting point? with workings​

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the starting point be B and the stopping be C as shown in the diagram below.

therefore, the angle at A will be (197-90)degree = 107degree

the angle at B is 45degree, since it is directly south west of C.

therefore the angle at C will be A+B+C=180 degree(sum angle of a triangle)

107+45+C=180

therefore, C=180-107-45=28degree

therefore, using sine rule gives;

sinA/a =sinC/c

sin107/a=sin28/4

0.9563/a=0.4695/4

0.9563/a=0.11736

therefore, a =0.9563/0.11736=8.148=8.1km(approx.)


Related Questions


Johney bought 3 pounds of hamburger. He wants to divide it evenly into 5 hamburger patties. How much pound(s) is each hamburger patty?
pound(s)

Answers

0.6 pounds because you would divide 3 by 5 and get 0.6
0.6 i think what they said it correct

Given a role of nickels. The diameter of one nickel is 0.835 inches, and the thickness is 0.077 inches. Find the surface area of a roll of $2 in nickels. Round to the nearest tenth. *use π on your sci calculator.

Answers

Answer:

ok

Step-by-step explanation:

explain why drawing a quick picture is helpful while adding decimals

Answers

Answer:

Drawing a quick picture is helpful when adding decimals because it gives you a visual picture of what the answer is. Also, it gives you the opportunity to be sure that you got the correct answer because computations in adding may have some mistakes.

Step-by-step explanation:

El Señor Carlos Villa quién Pide al Banco Azteca un crédito de $110000 sobre una tasa del 10% al año su cantidad a pagar será de

Answers

Responder:

121 000

Explicación paso a paso:

Dado que :

Monto del crédito = 110.000; este es el monto principal, P del préstamo

Tasa de interés = 10% = 10/100 = 0.1

Usando la relación para determinar el monto a pagar al final del año:

A = P (1 + rt)

A = monto final

A = 110 000 (1 + 0,1 * 1)

A = 11 000 (1 + 0,1)

A = 110 000 (1,1)

A = 121 000

La cantidad a pagar al final del año = 121.000

Prove to me that you're honest — in one minute.
if u answer this ima be hella impresed

Answers

Honest people would tell other people what they think honestly. And honestly, I don't know how to answer your question :( Honestly, I feel like I don't deserve to answer this question if I can't come up with an honest answer. I don't know, maybe I come back to this question another day when I'm older and wiser, and have an answer that will impress you with my honesty. But for now, honestly, I feel like I have failed this user.

What percent of 80 is 45? Round to the nearest whole percent.​

Answers

Answer:

36

Step-by-step explanation:

80% of 45 is 36.

Have a FANTASTIC FRI-YAY!

I need help!! ASAP!!

Simplify the complex fraction. State the conditions under which the expression is undefined.

Answers

9514 1404 393

Answer:

  (2x +1)/(4x^2) . . . . except x=0, -1

Step-by-step explanation:

Addition of fractions works in the usual way:

  a/b +c/d = (ad +bc)/(bd)

Division of fractions works in the usual way:

  (a/b)/(c/d) = (ad)/(bc)

__

  [tex]\dfrac{\left(\dfrac{1}{2x}+\dfrac{1}{2x+2}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{1}{x}+\dfrac{1}{x+1}\right)}{\left(\dfrac{2x}{x+1}\right)}=\dfrac{1}{2}\cdot\dfrac{\left(\dfrac{2x+1}{x(x+1)}\right)}{\left(\dfrac{2x^2}{x(x+1)}\right)}\\\\=\boxed{\dfrac{2x+1}{4x^2}}[/tex]

The expression is undefined for any denominator equal to zero: x=0 or x=-1.

The first five terms of a sequence are shown. 4, 12, 36, 108, 324, .... Which function models the value of the nth term in the sequence such that f(1)=4? A. f(x)= 3 ( 4 ) x B. f(x)= 3 ( 4 ) x − 1 C. f(x)= 4 ( 3 ) x − 1 D. f(x)= 12 ( 3 ) x − 1

Answers

Answer: I believe it’s f(x)=4(3)^x-1

Step-by-step explanation:

The additive inverse of -7/9

Answers

7/9 is the answer. no real explanation but yeah :)

What is the value of the expression below?

8^1/3

A. 4
B.8/3
C.2/3
D. 2.

Answers

The answer is 2. The power of 1/3 represents the cube root of a number. 2 multiplied by its self is 8.

Answer:

Step-by-step explanation:

8=2^3 so

(2^3)^(1/3)

2^(3(1/3))

2^1

2

What is 45 out of 50 as a percentage?. Single choice.



80%

90%

70%​

Answers

Answer:

[tex]90\%[/tex]

Step-by-step explanation:

[tex] \frac{45}{50} = ......\% \\ \frac{(45 \times 2)}{(50 \times 2)} \\ = \frac{90}{100 } \\ = 90\%[/tex]

i hope this help

sorry of it's wrong ☺️

which number is written correctly in scientific notation?
1) 0.459×10^8
2) 25.6×10^12
3) 3,892× 10^7
4) 5.03×10^11​

Answers

Answer:

1)4.59 *10^7

2)2.56 *10 ^13

3)3.892 *10 ^10

4)5.03 *10 ^11

A snow storm has blown across the united states. Currently, 30k square miles of land are affected. Each day, the land increases by 30% Equation: How much will the be hit by the snowstorm after 5 days?​

Answers

Answer:

50,000 Square Miles.

Step-by-step explanation:

30% = 1/3

30,000/1 * 1/3 = 10,000

10,000 * 5 = 50,000

If this question helped pls give me brainliest :) have fun

How many kilograms of 30% salt solution by mass and 40% salt solution by mass
should be mixed to form 200 kg of 37% salt solution by mass?

Answers

Answer:

60 kilograms of the 30% solution

140 kilograms of the 40% solution

Step-by-step explanation:

Let x = the no. of kilos containing 30% salt (solution 1)

and 200 - x = the no. of kilos containging 40% salt solution 2)

.30x = amount of salt in solution 1

.40(200 - x) = amount of salt in solution 2

.37(200) = amount of salt in the final mixture

salt in solution 1 + salt in solution 2 = salt in final mix.

.30x + .40(200 - x) = .37(200)  

Let's multiply thru the equation by 100 to remove the decimal fractions

30x + 40(200 - x) = 37(200)

30x + 8000 - 40x = 7400

-10x = -600

x = 60 kilograms of the 30% solution

200 - 60 = 140 kilograms of the 40% solution

PLZZZ HELP 100 POINTS
In the figure below, AD and CE are diameters of circle P.
What is the arc measure of minor arc AB in degrees?

Answers

Answer:

55 degrees

Step-by-step explanation:

this one is easy because the opposite side of 93 degrees is 93 degrees. so all you have to do is this

93-38=55

your AB angle is 55 degrees

hope this helps! have a nice day!

Answer:

180 degrees

Step-by-step explanation:

The minor arc is an arc that subtends an angle of less than 180 degrees to the circle’s center.

Hope this helps you :)

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Answers

Answer:

hiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

Franky and Francesca applied to the same college. They looked up the average SAT score of students admitted to that college. Franky’s SAT score was 140 points above the average score. Francesca’s SAT score was 40 points below the average score. Which expression represents the difference in their scores?

❘-40 - 140❘
-❘140❘ - ❘40❘
-❘140❘ + ❘-40❘
❘140 - 40❘

Answers

It would be I140-40I
(So the last answer)
Hope this helped ^^

Little help?
Given the coordinates of X,Y, and Z, as shown in the figure, find the perimeter of the triangle.
A. 6 units
B. 12 units
C. 15 units
D. 25 units

Answers

12 units ! Your welcome

The distance between the bottom of a boat in the water line is called a draft. A boat in the water rises 14 feet above the water. The boat's draft 6 feet. What is the vertical distance between the highest and lowest points of the boat?

Answers

Answer:

84

Step-by-step explanation:

because you multiplication the number

The answer is 84 because you have to multiply 6 and 14

What is the slope of the equation: y = - 5x -6

What is the y-intercept of the equation: y = 2x

Answers

Answer:

Step-by-step explanation:

y = mx +b

Here, m is slope and b is y-intercept

1) y = -5x - 6

Slope = -5

y-intercept = -6

2) y = 2x

Slope = 2

y-intercept = 0

Which is the area of the rectangle?
0:7.935 square units
0:11,500 square units
0:13,248 square units
0:14,835 square units

Answers

The answer is a the length is 69 and the base is 115 and if you multiply 115*69 you will get 7935 square units

Mars has m moons. The number of moons of Pluto is one more than twice the number of moons of Mars. The number of moons of Neptune is one less than 3 times the number of moons of Pluto. Write and interpret a simplified expression that represents the number of moons of Neptune (I’m just asking to answer because I didn’t see any right ones when I was scrolling through them)

Answers

Answer:

neptune = 6m+2

Step-by-step explanation:

mars has 'm' moons

pluto has one more than twice that of mars, = 2m+1

neptune is one less than thrice of pluto

= 3(2m+1) -1

= 6m+3 -1

= 6m+2

find the solution to the system of equations. y = 2x - 1 y= 3x - 5

Answers

Answer:

( 5/2,5/2)

Step-by-step explanation:

i really need to know this im 2 days behind on math cause of family issues

Answers

Answer: The last graph

Quartiles, mean and medians all match up

please help!! thanks ;)))

Answers

Answer:

I dont see the numbers sorrry

This is a similar triangle. Please find the missing length. (?)

Answers

Answer:

RQ = 10

Step-by-step explanation:

When two triangles are similar, the ratio of their corresponding sides are equal;

Thus, we have it that;

QP/RQ = BC/AB

12/RQ = 36/30

RQ = 12 * 30/36 = 10

Please I need help!!!!!!

Answers

Answer:

$133

Step-by-step explanation:

$135-$12=

The angle of elevation from a kicker's foot on the football field to the top of the goal post is 17 degrees. If he is standing 131 feet from the base of the goal post, how tall is the goal post?​

Answers

Answer:

The goal post is 40.05 feet tall.

Step-by-step explanation:First, you need to decide whether to use sin, tan or cos.

You have the angle, the adjacent and need the opposite , so you need to find out which one has all three values in

Sin  

Cos  

Tan  

So you need to use tan.

Tan = opposite / adjacent, so rearrange the formula to make opposite the subject:

[tex]Opp = Tan * adj

So simply plug these values in:

[tex]Opp =131 * tan(17) = 40.05

So the goal post is 40.05 feet tall

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Answers

Answer:

STOP SPAMMING I CAN THEKP YOU BRO I CSNT HELP U...

Step-by-step explanation:GIV EU BAD DAY

SOMEBODY HELP PLS

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Answers

Answer:

STAY SAFE EVERYONE

Step-by-step explanation:

THIS IS TERRIBLE

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