The diagram shows the position
of three towns represented by
letters A, B and C.
NA
B is 7 km from A on a bearing of 037°
C is 8 km from B on a bearing of 140°
Find the bearing of C from A.
Give your answer correct to 1 decimal place.

The Diagram Shows The Positionof Three Towns Represented Byletters A, B And C.NAB Is 7 Km From A On A

Answers

Answer 1

Answer:

Step-by-step explanation:

143º I’m not sure

Answer 2

The bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

What is an angle?

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

If we extend the line NA and NB

As we can see, line NA and NB are parallel and cut by transversal AB

The angle NBA and BAN' will be equal.

Angle BAN' = 180 - 37 = 143 degree = angle NBA

Angle CBA = 360 - 140 - 143

Angle CBA = 77 degree

Now, applying cos law:

b² = a² + c² - 2ac[cos B]

b² = (8)² + (7)² - 2(8 x 7 x cos77)

b = 9.37 km

To find the measure of the angle A applying sin law:

(sinA)/a = (sinB)/b

sinA = (axsinB)/b

sinA = (8xsin77)/9.37

A = 56.3⁰

Bearing of town C from town A:

α = A + 37⁰

α = 56.3⁰ + 37⁰

α = 93.3⁰

Thus, the bearing of town C from town A is 93.3 degree if the B is 7 km from A on a bearing of 037° C is 8 km from B on a bearing of 140°

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Related Questions

Which expressions are equal?

A. 2(x+3)+2x and 4x+3
B.3(x+2)+4xand 6x+6
C.5x+2(x+4) and 6x+8
D.4+5(x+2) and 5x+14

Answers

Answer:

Step-by-step explanation:

2(x + 3) + 2x

2x + 6 + 2x

4x + 6 and 4x + 3 not equal

3(x + 2) + 4x

3x + 6 + 4x

7x + 6 and 6x + 6 not equal

5x + 2(x + 4)

5x + 2x + 8

7x + 8 and 6x + 8 not equal.

4 + 5(x + 2)

4 + 5x + 10

5x + 14 and 5x + 14 are equal

Write an equation of the line that passes through the given point and is parallel to the given line.
(2, -3); y = –5

Answers

Answer:

y = -3

Step-by-step explanation:

The given line is a horizontal line thru -5 on the y-axis.

Your line is parallel to y = -5, hence is also a horizontal line and passes thru (2, -3).  Since -3 is the y-coordinate of that point, y = -3 is the equation of the line you are looking for.

) tan c
С
45
36
B.
27
A
4/3
3/5
Ο Ο Ο Ο Ο
27/45
314
4/5

Answers

Answer:

A 4/3 3/5 000000 27/45 314 4/5

what is 2.4 rounded to the nearest tenth

Answers

Answer:

2

Step-by-step explanation:

If the tenth place has a number under 5, round down. (2)

If the tenth place is 5 or more, roundup. (3)

The solution for the number 2.42 rounded to the nearest tenth is 2.4

Used the concept of rounding numbers which states that,

When you round a number to a certain digit, you have to check the value of the digit before the place you want to round off to.

1. If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

2. If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Here, the question said the nearest tenth,

The number to round is 2.42

Clearly, the number 2 placed in the hundredth place is less than 5, so round the number down.

That is 2.42 ≈ 2.4

Therefore, the solution is 2.4

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The complete question is,

What is 2.42 rounded to the nearest tenth?

Lisa set a weekly goal of jogging 18 miles. In each of the first 3 days, he jogged 2 2/3 miles. How many more miles must he run to reach his goal?​

Answers

Answer:

Step-by-step explanation:

3(2+(2/3))+x=18

3(8/3)+x=18

(24/3)+x=18

8+x=18

x=10

He must run another ten miles.

Answer:

10.88

Step-by-step explanation:

3 * 2 3/8 = 6 9/8 = 7 1/8 miles

The residents of Watson Avenue are decorating their houses for the upcoming holidays. They
have decided to all string lights around the roofs of their houses. How many feet of lighting
does Sarina need if she wants to string lights along roof?
4 feet
10 feet
6 feet
6 feet
6 feet
6 feet
Plz explain how you solve this.

Answers

Answer:

38

Step-by-step explanation:

It is 4,10,6,6,6,6 feet so add it up and it is 38

brian makes an investment in his company’s stock . what does the stock chart say about the stock price today? The down arrow indicates the stock price has decreased from yesterday’s price of $______ at the ______ of the marley day.

Answers

Answer:50$ and 2

Step-by-step explanation:

Answer:

The down arrow indicates the stock price has decreased from yesterday’s price of $

66.20

at the

close

of the market day.

your welcome <3

Teresa runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?

Answers

Answer:

12/5 miles

Step-by-step explanation:

3/25=x/20

cross product

25*x=3*20

25x=60

x=60/25

simplify

x=12/5

Answer:

a. 2 – 8 - [- 4 – (-6 + 3 -9)] X ( -10 ÷2) suprimir los signos de agrupacion

Step-by-step explanation:

What is the perimeter of JKL?

Answers

Answer:

The perimeter of JKL is 60 units.

Step-by-step explanation:

The two tangents of a circle formed by a vertex outside the circle will always be the same distance, this means that JA = JB = 13, LA = LC = 7, and KB = KC = 10. JL = JA + LA = 20, KL = LC + KC = 17, and JK = JB + KB = 23. So the perimeter of triangle JKL is 20 + 17 + 23 = 60 units.

Katlin is choosing between two circular wall clocks one has the radius of 5 inches while the other one has a radius of 6 inches.How much more wall space will the clock with a radius of 6 inches cover?

Plz help i dont get any of these type of questions T-T

Answers

Answer:

Exact: [tex] 11 \pi~in.^2 [/tex]

Approximate: [tex] 34.6~in.^2 [/tex]

Step-by-step explanation:

The spaces the clocks occupy on the wall are the areas of the clocks.

The clocks are shaped like circles, so use the formula for the area of a circle to find the two areas. Then subtract the smaller area from the larger area.

[tex] A_{circle} = \pi r^2 [/tex]

Larger clock, r = 6 in.

[tex]A_{large~clock} = \pi \times (6~in.)^2 = 36 \pi ~in.^2 = 113.1~in.^2[/tex]

Smaller clock, r = 5 in.

[tex]A_{small~clock} = \pi \times (5~in.)^2 = 25 \pi ~in.^2 = 78.5~in.^2[/tex]

Difference in areas:

Exact: [tex] 36 \pi~in.^2 - 25 \pi~in.^2 = 11 \pi~in.^2 [/tex]

Approximate: [tex] 113.1~in.^2 - 78.5~in.^2 = 34.6~in.^2 [/tex]

PLz solve.................

Answers

i think x = 18

please talk me my answer is correct or not

Answer:

X=18

Because 18/8=9/4

2×9=18

2×4=8

What is the answer to -2/5 × 5/9 ??/

Answers

-2/9, hope this helps

can anyone help me? I'm so lost on this question. thanks!! ​

Answers

Answer:

a. -21

b. -16

c. -11

d. -9

Step-by-step explanation:

if x is less than -2, then u have to use the equation 5(x)-1

if x is greater than or equal to -2, then you have to use the equation (x)-9

Answer:

Step-by-step explanation:

This is a ‘piece wise function’ meaning it has different functions depending on the value of the independent variable, x.

So for questions a and b where x<-2 you sub the x value into the top equation, 5x-1.

f(-4)=5(-4)-1=-20-1=-21

f(-3)=5(-3)-1=-15-1=-16

Since the second two x values are not less than -2, you sub the x values into the second equation x-9

f(-2)=-2-9=-11

f(0)=-0-9=-9

(x - 2)(2x + 3)(x + 5) can be written in the form ax + bx² + cx + d.
where a and b are positive integers, and c and d are negative integers.
Find the values of a, b, c and d.
a =
b =
C=
d =

Answers

Answer:

B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to

Answer:

2x^3 + 9x^2 - 11x - 30

so a=2, b=9, c= -11 and d= -30

whats the answer to 5+6x=2-7

Answers

Answer:

x= -5/3

Step-by-step explanation:

hope this helps :) have a nice day !!

DIU
metry:The vertices of AABC represent the buoy markers that form the legs of the course for a swim race. What is the distance from marker C to marker
A? Round your answer to the nearest tenth of a meter.

Answers

Answer:

130.5

Step-by-step explanation:

The solution is,  the value of x is approximately 116.5 meters.

What is trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

here, we have,

We are given the following information

From this picture, we want to find the vaule of x. To so, we will use the sine law. to solve this problem.

The sine law relates the sine of the angles of the triangle and the length of the opposite sides of the triangle. If we have a triangle of the form

Then,the sine law states that

sinA/a =sinB/b =sinC/c

Which is equivalent to

a/sinA = b/sinB = c/sinC

In our case, we are given the measure of angles A and B and missing the measure of angle C. Also, we are given the measure of side c. If we apply the sine law to the given triangle we have

x/ sin 35  = 200/ sin 80

So, first we need to identify the value of C. To do so, we will use the following fact:

The sum of the inner angles of a triangle is 180°.

Then, we have the following equation

65 +35 +C = 180

If we operate on the left side, we get

100+C = 180

So, by subtracting 100 from both sides, we get

C= 80

So, if we replace the value of C in the equation we had, we get

x/ sin 35  = 200/ sin 80

If we multiply both sides by sin(35) we get

x = 200* sin 35/ sin80

so, using a calculator we get

x = 116.5

so the value of x is approximately 116.5 meters

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work out the size of angle x

Answers

Answer:

36

Step-by-step explanation:

Answer:

x = 66

Step-by-step explanation:

We know that the sum of all the angles inside a triangle is 180 degrees

x + 79 + 35 = 180

x = 180 - 79 - 35

x = 66

can some one help me for 100pts

Answers

Answer:

THanks

Step-by-step explanation:

Answer:

What is the question??

Step-by-step explanation:

a rectangle measuring 4m by 3m

Answers

Answer:

If you are asking the area it is 12

Step-by-step explanation:

Answer:

Area: 4 x 3 = 12m

Perimeter: 4 + 3 + 4 + 3 = 14m

Step-by-step explanation:

I hope this helps u! :D

Find x in the diagram.​

Answers

Answer:

50

Step-by-step explanation:

The angle left of x added to 140 must be 180 as it is along a line so is 40.

We now have 40 + 90 + x = 180 so x = 50

A therapist wanted to determine if yoga or meditation is better for relieving stress. The therapist recruited 100 of her high-stress patients. Fifty of them were randomly assigned to take weekly yoga classes, and the other 50 were assigned weekly meditation classes. After one month, 30 of the 50 patients in the yoga group reported less stress, and 35 of the 50 patients in the meditation group reported less stress.

Based on the 95% confidence interval, (–0.29, 0.09), is there convincing evidence of a difference in the true proportions of patients experiencing stress relief in the yoga and meditation groups?

There is convincing evidence because the two sample proportions are different.

There is not convincing evidence because the interval contains 0.

There is not convincing evidence because the interval contains both negative and positive values for the true difference.

Answers

Answer:  Choice B

There is not convincing evidence because the interval contains 0.

========================================================

Explanation:

The confidence interval is (-0.29, 0.09)

This is the same as writing -0.29 < p1-p1 < 0.09

The thing we're trying to estimate (p1-p2) is between -0.29 and 0.09

Because 0 is in this interval, it is possible that p1-p1 = 0 which leads to p1 = p2.

Therefore, it is possible that the population proportions are the same.

The question asks " is there convincing evidence of a difference in the true proportions", so the answer to this is "no, there isn't convincing evidence". We would need both endpoints of the confidence interval to either be positive together, or be negative together, for us to have convincing evidence that the population proportions are different.

There is not convincing evidence because the interval contains 0.

What is Confidence Interval?

The mean of your estimate plus and minus the range of that estimate constitutes a confidence interval. Within a specific level of confidence, this is the range of values you anticipate your estimate to fall within if you repeat the test. In statistics, confidence is another word for probability.

We have, the confidence interval as (-0.29, 0.09)

and, the same as writing -0.29 < p1-p1 < 0.09

Now, as the interval is 0 then

p1 - p2 = 0

p1 = p2

There is a chance that the population ratios are identical.

So, there isn't convincing evidence.

For us to have strong evidence that the population proportions are different, the ends of the confidence interval must be either positive together or negative together.

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Graph the equation using the slope and y-intercept y = -x + 3

Answers

Answer:

Explained Below:

Step-by-step explanation:

Your y-intercept is a positive three, so your starting point would start on positive three on the y-axis. Since your slope is a negative one, your line should be heading towards the bottom right corner (much like your last question).

To find the next point on the graph, you need to go down one and over one. Or, one space.

Answer:

I got you

Step-by-step explanation:

Jaylen will deposit $1,750 in an account that earns 6% simple interest every year. His best friend, Eli, will deposit $1,600 in an account that earns 8.5% interest compounded annually. The deposit will be made on the same day, and no additional money will be deposited or withdrawn from the accounts. Compare and contrast the two friends’ account after 5 years

Answers

Answer:

Jaylen- 2275

Eli- 2405.85

Jaylen

1750 x 0.06 x 5 =525

525 + 1750 = 2275

He makes 525 simple interest in those 5 years so you add that to the initial amount, to find his total after 5 years.

Eli

A= 1600(1+0.085)^5

1600(1.085)^5

2405.85

Hope this helps ^-^

What is the
length and the base.
The height of a triangle is 2m more than the base. The area is 17.5 m^2.

Answers

Answer: 5 m

Step-by-step explanation:  

Double the area to get 35. then think what two number multiply to get 35 that are also 2 apart.  7 x 5.  So 7 is the height and 5 is the base.  

Check answer:  A = 1/2xbxh

                               A = 1/2 x 7 x 5

                               A =  1/2 x 35

                               A = 17.5 sq m

Write three different equations that match the tape diagram.
40
19
х
х
х
X
х
х
х

Pls answer quick

Answers

Answer:

19+7x=40

40-19=7x

40-7x=19

Can you simply these fractions?

Answers

5/7 , 1/5, 4/5, 1/9, 3/4, 5/6, 2/3, 4/7, 1/7, 3/8

Points A, B, C, and D are vertices of a square. Point E is inside the square. Explain how to tell whether point E is closer to A, B, C, or D.

Answers

Answer:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

Step-by-step explanation:

To determine if a point E inside a square is closer to any of the vertices of the square we have to determine the length of the diagonals between the point E and the vertices of the square i.e. AE, BE, CE, DE

The diagonal can be determined by applying Pythagorean's theorem

6-8 weeks i hope this help:)

Answers

Answer:

I have no idea but okay

12y = 8x + 29 write in slope intercept form and what is the solution? Show all your work plz help!

Answers

y= 8x + 17 is correct

1. Find the area of the shaded sector.
2. Find the length of the arc defined by the sector.

Answers

Answer:

1. 150π sq.ft  2. 10π ft

Step-by-step explanation:

Part 1

Equation: Area of a sector = [tex]\frac{x}{360}[/tex] × π[tex]r^{2}[/tex]

Where:

x = internal angle

r = radius of circle

Values from problem:

x = 60

r = 30

Plug values into equation:

Area of sector = [tex]\frac{60}{360}[/tex] × π[tex]30^{2}[/tex]

Simplify:

60 divided by 30 equals [tex]\frac{1}{6}[/tex] and 30 squared equals 900 so...

[tex]\frac{1}{6}[/tex] × 900π

900π divided by 6 equals 150π so...

[tex]\frac{900}{6}[/tex] × π = 150π

150π sq. ft

Part 2

Equation: Arc length = [tex]\frac{x}{360}[/tex] × 2πr

Where:

x = internal angle

r = radius of circle

Values from Problem:

x = 60

r = 30

Plug values into equation:

Arc length = [tex]\frac{60}{360}[/tex] × 2π30

Simplify:

60 divided by 360 equals [tex]\frac{1}{6}[/tex], and 2π × 30 equals 60π so...

[tex]\frac{1}{6}[/tex] × 60π

60π divided by 6 is 10π

[tex]\frac{60}{6}[/tex]π = 10π

10π ft

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