Solve this A tourist starts off from town A and travels for 50km on a bearing of N80°W to town B.At town B ,he continues for another 40kmbon a bearing of N20°E toC. How far is C from A?

Answers

Answer 1

Answer:

The point C is 12.68 km away from the point A on a bearing of S23.23°W.

Step-by-step explanation:

Given that AB is 50 km and BC is 40 km as shown in the figure.

From the figure, the length of x-component of AC = |AB sin 80° - BC cos 20°|

=|50 sin 80° - 40 cos 20°|=11.65 km

The length of y-component of AC = |AB cos 80° - BC sin 20°|

=|50 cos 80° - 40 sin 20°|= 5 km

tan[tex]\theta[/tex]= 5/11.65

[tex]\theta[/tex]=23.23°

AC= [tex]\sqrt{5^2+11.65^2}=12.68[/tex] km

Hence, the point C is 12.68 km away from the point A on a bearing of S23.23°W.

Solve This A Tourist Starts Off From Town A And Travels For 50km On A Bearing Of N80W To Town B.At Town

Related Questions

Here is a list of numbers:
10, 3, -2, 19, -19, 4, 13, 6, 7
State the median.​

Answers

Answer:

the answer is 6

Step-by-step explanation:

10. The hour hand of a clock is 8 cm long.
What area does it cover in:
(a) 12 hours?

Answers

Well the simple answer would be 96 the surface of 96 cm

7 candes cost £45.29,
how much would 25 candles cost?

Answers

Answer:

161.75

Step-by-step explanation:

45.28 divided by 7 = 6.47

6.47 per cande

6.47 times 25 = 161.75

Find the value of "c". 4c + 18 = 74 *​

Answers

[tex]4c \: + 18 = 74[/tex]

[tex] \implies \: 4c = 74 - 18[/tex]

[tex] \implies \: 4c = 56[/tex]

[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]

[tex] \implies \: c = 14[/tex]

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

Walking Robert walks 7 blocks east from his home and arrives at his favorite restaurant. When he​ arrives, he discovers that he dropped his wallet along the way. He retraces his steps for 5 blocks until he finds his wallet. An expression for how many blocks east Robert is from his home after finding his wallet is the sum 7+​(−​5).

Answers

Answer:

2 block east from home

Step-by-step explanation:

Given an expression for how many blocks east Robert is from his home after finding his wallet as the sum 7+​(−​5),

Simplifying the given expression

7+(-5) = 7-5 (note that the product of a plus and minus sign will give a minus sign)

7-5 = 2

Hence Robert will be 2 block east from home

The shadow of a building is 72 feet long. At the same time, John, who is 5 feet tall, casts a shadow that's 6 feet long. How tall is the building?

Answers

Answer:82feet tall

Step-by-step explanation:

A recipe for grape Gatorade calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
1. How much sparkling water would you need to mix with 9 quarts of grape juice?


(Please help)

Answers

Answer: 3 1/2

Step-by-step explanation:

Yes

Answer:3 1/2

Step-by-step explanation:

John builds a wooden box. ∙ The box is 3 feet long. ∙ The height is half the width. ∙ The volume is 4 times the width. Which equation can be used to find the width, w , of the box?

Answers

Answer:

4w=w*3*1/2w

Step-by-step explanation:

4w=w*3*1/2w

If y = 3x^4 -2x^3-7x+5, find dy/dx.

Answers

Dy/dx = 12x^3 - 6x^2 - 7

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

We have,

The power rule states that if we have a term of form a[tex]x^n[/tex], the derivative with respect to x is given by [tex]d/dx(ax^n) = nax^{n-1}.[/tex]

Applying the power rule, we differentiate each term as follows:

[tex]d/dx(3x^4) = 3 \times 4x^{4-1} = 12x^3\\d/dx(-2x^3) = -2 \times 3x^{3-1} = -6x^2\\d/dx(-7x) = -7 \times 1x^{1-1} = -7[/tex]

d/dx (5) = 0 (since 5 is a constant)

Combining these derivatives, we get:

dy/dx = 12x³ - 6x² - 7

Therefore,

The derivative of [tex]y = 3x^4 - 2x^3 - 7x + 5[/tex] with respect to x is

dy/dx = 12x³ - 6x² - 7.

Learn more about derivatives here:

https://brainly.com/question/29020856

#SPJ4


When factored completely, x3+ 3x2 - 4x-12 equals?

Answers

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

Dont know the full thing but hope some of this helps!

Answer:

(x - 2) (x + 2) (x + 3)

Step-by-step explanation:

List 4 true angle facts about the illustration created by
AD intersects FK at point M.

Answers

Acute angles are less than 90 , right angles are 90 , straight lines are 180

how to solve 2 divided by 1/7

Answers

Answer:

14

Step-by-step explanation:

You can put it as a fraction like so:

2/1 divided by 1/7

Use the strategy KCF (Keep, Change, Flip)

2/1 x 7/1

=2x7

=14

This might help, I just like writing it better

Find the unknown value .
45%=54/⬛️

Answers

Answer:

12

Step-by-step explanation:

54/12=4.5 then move the decimal once

Find the length of each segment write your answer in simplest radical form. I NEED HELP ASAP

Answers

Answer:

1. 5

2. [tex]\sqrt{85}[/tex]

3. [tex]\sqrt{26}[/tex]

Step-by-step explanation:

1. just count the units: 5 units

2. Find the slope = rise/run = -7/6

you now have a right triangle, one side is 7 units (from the rise), and the other is 6 units (from the run)

use the pythagorean theorem to find the hypotenuse.

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]7^{2} + 6^{2} = c^{2}[/tex]

49 + 36 = [tex]c^{2}[/tex]

85 = [tex]c^{2}[/tex]

[tex]\sqrt{85} = \sqrt{ c^{2}[/tex]

[tex]\sqrt{85} = c[/tex]

Simplify the radical, but [tex]\sqrt{85}[/tex] is farthest that it can go, so that is the answer.

3. same process as 2

slope = -1/5

[tex]1^{2} + 5^{2} = c^{2}[/tex]

1 + 25 = [tex]c^{2}[/tex]

26 = [tex]c^{2}[/tex]

[tex]\sqrt{26} = c[/tex]

That is the farthest it can go, so that will be the answer.

Which of the following is the point-slope form of the equation of the line with slope 4
that crosses the point (1, 3)?
Oy-1= 4(x – 3)
Oy+1= 4 (2+3)
Oy-3= 4(x - 1)
Oy+3 = 4(x+1)

Answers

Answer:

Third option

[tex]y-3=4(x-1)[/tex]

Step-by-step explanation:

Equation of straight line in point slope form is given as

[tex]y-y_1=m(x-x_1)[/tex]

Here

slope=m=4 and [tex](x_1, y_1) = ( 1, 3 )[/tex]

Equation of straight line having slope 4 and crossing from point (1, 3) is given as

[tex]y-3=4(x-1)[/tex]

please help for bainlest

Answers

Answer:

[tex]\frac{5}{12}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4} -\frac{1}{3}[/tex]

Find the common denominator and multiply each side by that number

[tex]\frac{9}{12} -\frac{4}{12}[/tex]

[tex]\frac{5}{12}[/tex]

For bolded part in explanation: 4·3=12 3·3=9

                                                    3·4=12 1·4=4

Apply properties of operations to write an equivalent expression t+t+t+t​

Answers

Answer:

4t

Step-by-step explanation:

1. Yolanda has a 30%-off coupon from her favorite clothing store. She wants to buy a coat that regularly costs $85.40 How much will the coat cost after the coupon is applied?

Answers

Answer:

59.78

Step-by-step explanation:

Lol I use the calculator and find the cost of 30 of 85.40 than the number of the percent is 25.62 so I subtract them both and got 59.78 as an answer hope this help

Select the equation that is true.

Answers

Answer:

you didnt attach anything

Step-by-step explanation:

Mr. Tang gives a math test worth 90 points that contain 25 questions. Multiple-choice questions are worth 3 points and word problems are worth 4 points. How many of each type of question are there?

Answers

Answer:

m=10

w=15

Step-by-step explanation:

m + w = 25

3m + 4w = 90

Let's do substitution, first by solving the first equation for m.

m = 25 - w

Substitute!

3(25 - w) + 4w = 90

75 - 3w + 4w = 90

w = 15

m = 25 - 15 = 10

100 POINTS! SOLVE FOR X. PIC ATTACHED. Random answers will be reported.

Answers

Answer:

x = 29

Step-by-step explanation:

The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding

Corresponding angles sum to 180

(2x - 10) + (4x + 16) = 1806x + 6 = 1806x = 174x = 174/6x = 29

Write an equation for the line in standard form

Answers

Answer:

The equation of the line in standard form is y = -1/2·x - 3

Step-by-step explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substituting the values of the coordinates for two known points, we have;

[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

y - (-4) = -1/2(x - 2)

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c  is y = -1/2·x - 3.

Factor the GCF from 96x2 + 88x.

Answers

Answer:

Step-by-step explanation:

1) Determine the GCF of the numbers 96 and 88

=> Decompose each number in their prime numbers:

=> 96 = (2^5)(3)

=> 88 = (2^3) (11)

=> GCF of 96 and 88 = 2^3 = 8

2) Determine the GCF of the letters, x^2 and x

=> x

3) Conclude the GCF of the terms is 8x

4) Now you can factor the expression by dividing each term by the GCF, 8x:

96 x^2 / (8x) = 12x

88x / (8x) = 11

The factored form is (8x) (12x + 11)

Answer:

Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements.

The GCF of 96x2 and 88x  ✔ 8x

Each term is written as a product, where one factor is the GCF, is ✔ 8x(12x) + 8x(11)

The factored form of the expression is ✔ 8x(12x + 11)

Translate the sentence into an equation The sum of 6 times a number and 8 equa's 7 Use the variable b for the unknown number 6 - 0​

Answers

Answer:

6b + 8 = 7

Step-by-step explanation:

The proper translation of the sentence is 6b + 8 = 7.

Solving for b, we get 6b = -1 and b = -1/6

How is "6 - 0" part of this problem?  

Jim went to the playground. He played on the swings for 45 minutes and went on the slide for 55 minutes. It was 4:35 P.M. when Jim left the playground. What time was it when Jim arrived at the playground?

Answers

Answer:

2:55 P.M.

Step-by-step explanation:

First, add the amount of time Jim played outside; 45+55=100

100 minutes is equal to 1 hour 40 minutes.

If he left the playground at 4:35 P.M., then you have to subtract in order to find out when he arrived there.

Subtract 1 hour 40 minutes from 4:35 P.M. to then get 2:55 P.M.

To confirm your answer, you can add back the 1 hour and 40 minutes to 2:55 P.M. and you'll get 4:35 P.M.; back with what you started with.

Hope this helped !!!


please help
this is due at noon so anyone who knows this help me.

Answers

Answer:

70x+4^2+3

Step-by-step explanation:

What would be the new set of numbers if the Scale Factor was 2? 3:4:5:6

Answers

Answer:

6:8:10:12

Step-by-step explanation:

Scale factor of 2-

3:4:5:6

multiply each number by 2

6:8:10:12

HURRY ITS IMPORTANT 7
What decimal represents ten and seventy-five hundredths? Show your work.

Answers

Answer:

10.75

Step-by-step explanation:

The correct answer is 10.75

help me please quickly

Answers

Answer:

(1)  4

Step-by-step explanation:

Isolate x.

[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]

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

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

x - 2 = 2

x = 2 + 2

x = 4

Suppose that a​ person's peak blood alcohol level is0.04 ​(grams per 100​ mL) and that this level decreases by 20​% each hour.

Answers

I think cus she said she was she she she

Answer:

Step-by-step explanation:

incomplete question

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