A ship travels due west for 83 miles . It then travels in northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree how many degrees north of west did it turn when it changed direction? Show your work.

Answers

Answer 1

*see attachment for the diagram of the information given

Answer:

115.8°

Step-by-step explanation:

Due west = 83 miles

Northwest = 111 miles

Distance to its original position = 165 miles

Let x represent the degree north of west that it turned when it changed direction which is the opposite angle of 165 miles.

Thus, to find x, we'd apply the Law of Cosine which is given as:

c² = a² + b² - 2ab*cos C

Where,

C = x

a = 83 miles

b = 111 miles

c = 165 miles

Plug in the values

165² = 83² + 111² - 2*83*111*Cos x

27,225 = 19,210 - 18,426*Cos x

27,225 - 19,210 = - 18,426*Cos x

8,015 = -18,426*Cos x

8,015 = -18,426*Cos x

8,015/-18,426 = Cos x

-0.434983176 = Cos Cmx

Cos x = -0.434983176

x = cos^{-1}(-0.434983176)

x = 115.784223°

x = 115.8°

A Ship Travels Due West For 83 Miles . It Then Travels In Northwest Direction For 111 Miles And Ends

Related Questions

Solve for angle x please help fast

Answers

Answer:

X=18

Step-by-step explanation:

you can find what the missing angle is by subtracting 92 from 180 since its a straight line. After putting in the missing angle you can easily solve for 2X which is 36 and then divide by 2 and get 18.

Answer:

x = 23

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

92° is an exterior angle of the triangle, then

2x + 46 = 92 ( subtract 46 from both sides )

2x = 46 ( divide both sides by 2 )

x = 23

Find the degree of the term.
-4x4

Answers

Step-by-step explanation:

degree of term is the highest power or exponent of the variable .

degree here = 4

hope this will be helpful to you.plz mark my answer as brainlist plzzzz if you find it useful.

f(x) = -2
Find f (3)

Answers

Answer:

f= -2/3

Step-by-step explanation:

Let's solve your equation step-by-step.

f(3)=−2

Step 1: Simplify both sides of the equation.

3f=−2

Step 2: Divide both sides by 3.

3f

3

=

−2

3

f=

−2

3

Answer:

f=

−2

3

Use the function below to find F(3).

F(x) = (1/5)^x

Answers

It’s C
We have 1*1*1 for the numerator and
5*5*5 for the denominator.

what is 3 forths - 3 eigths

Answers

Answer:

3/8

Step-by-step explanation:

3/4 is equivalent to 6/8 to we can change the problem to

6/8 - 3/8 which equals 3/8

Write an equation for a line perpendicular to f(x)=5x−1 and passing through the point (5,20)

Answers

Answer:

y - 20 = (-1/5)(x - 5)

Step-by-step explanation:

The slope of the given line is 5.  The slope of any line perpendicular to the given line is the negative reciprocal of the given slope:  

Slope of perpendicular line here is -1/5.

We use the point-slope formula as a framework here:

y - 20 = (-1/5)(x - 5)

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Answers

Should be 132 degrees

What value could you write in the blank after 3x that would make the equation true for:
3x + 8 = 3x + Write your response for each question below and be sure to identify which solution type you are answering about. For
example, rewrite No values: then write your response for what goes in the blank only.
1. No values?
2. All values/infinitely many?
3. One value?

Answers

Answer:

3 One value?

Step-by-step explanation:

hope this helps and please mark me branlyest

Find the area of the figure below.



Use numbers only in your answer.

The area is
in².

Answers

Answer:

Area = 42 in^2

Step-by-step explanation:

here's your solution

=> divide above picture in two parts

=> rectangle and traingle

=> area of rectangle = length* width

=> area of rectangle = (5*6)in.

=> area of rectangle = 30 in^2

=> now, area of traingle = 1/2*base *height

=> area of traingle = 1/2*4*6

=> area of traingle = 12 in^2

=> area of figure = 30 in^2 + 12 in^2

=> Area = 42 in^2

hope it helps

Answer:

42 in.²

Step-by-step explanation:

We need to find the area of the rectangle and then the triangle and then add them up. For the rectangle its 6 x 5 = 30 and for the triangle its 6 x 4 = 24/2 = 12 *we have to divide by 2 because we are finding the area of a triangle*. So we add 30 + 12 = 42 so your answer is 42 in.²

:DDD hope I was able to help

for which value of c will the equation 2x - 5 = 2x - c have an infinite number of solutions? select all that appy
A 3
b 4
C 5
D 6

Answers

Answer:

d po

Step-by-step explanation:

i hope its help

carry on learning

If the function rule is 5x, what is the value when x=4

Answers

20 will be the answer when x=4

Some please help I’ll give BrainLiest

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Answer:

The author thought the event was exciting and interesting

He thought it was interesting

is x the slope , and what is y

Answers

Answer:

wheres the picture?

Step-by-step explanation:

Answer:

y intercept  

Step-by-step explanation:

the point where the graph crosses the y -axis

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Answers

Answer:

17 is what percent of 60? = 28.33.

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Step-by-step explanation:

what angle does an arc 6.6cm on length subtends at the centre of a circle of radius 14cm? take
[tex]\pi = 22 \7[/tex]​

Answers

Given:

Arc length = 6.6 cm

Radius = 14 cm

To find:

The angle subtended by the arc at the center.

Solution:

The formula for arc length is:

[tex]s=2\pi r\dfrac{\theta}{360}[/tex]

Where, s is the arc length, r is the radius and [tex]\theta[/tex] is the central angle in degrees.

Putting [tex]s=6.6,\pi=\dfrac{22}{7},r=14[/tex],we get

[tex]6.6=2\times \dfrac{22}{7}\times 14\times \dfrac{\theta}{360}[/tex]

[tex]6.6=88\times \dfrac{\theta}{360}[/tex]

[tex]\dfrac{6.6}{88}\times 360=\theta[/tex]

[tex]27^\circ=\theta[/tex]

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After graduating from college, Herbert decided to join a new
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year and he will earn $63,417 for his tenth year of work.

Answers

Answer:

500

Step-by-step explanation:

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Answers

Answer:

x = 12.48

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Step-by-step explanation

Im not sure if its correct

10^2 + b^2 = 16^2

100 + b^2 = 256

b^2 = √156

b = 12.48

b= 12 ( If needed to round to the nearest whole number)

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a^2 = √175

a = 13.22

a = 13 ( If needed to round to nearest whole number)

Can someone pls help me with this? I got everything else I just don't really understand PI I know it's the last one because PI is approximately 22/7 can you just help me with the rest? It multiple choices too. Thank you soo much! 20 points!

Answers

Answer:

C, D, and E

Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

a, b, c are all perfect square trinomials

Step-by-step explanation:

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c) (xy-1)²

Can someone please help me answer this question asap thank you . No links please and thank you.

Answers

Answer:

Step-by-step explanation:

hi

What is 5637 time 7829

Answers

5637x7829= 44,132,073
Hope this helped!

18
AB has endpoint A(-2,3) and midpoint M(4,6).
Find the coordinates (x, y) of B.

Answers

Answer:

B = (10, 9 )

Step-by-step explanation:

Using the midpoint formula

M = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

with (x₁, y₁ ) = A(- 2, 3) and (x₂, y₂ ) = B(x, y) , then equate to the x and y coordinates of the midpoint M(4, 6)

[tex]\frac{-2+x}{2}[/tex] = 4 ( multiply both sides by 2 )

- 2 + x = 8 ( add 2 to both sides )

x = 10

and

[tex]\frac{3+y}{2}[/tex] = 6 ( multiply both sides by 2 )

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If the surface area of a cube is 390 in.² and which best describes the length of the side cube

Answers

Answer:

sqrt65, or 8.06225775

Step-by-step explanation:

390/6=65

sqrt65=8.06225775

the measure of an angle is 49 degrees what is the measure of its complementary angle

Answers

Answer:

The complementary angle is 41 degrees

Step-by-step explanation:

A complementary angle is when two angles add up to 90

90 = 49 + x

90 - 49 = 49 - 49 + x

41 = x

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Answers

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Step-by-step explanation:

HELP REALLY QUICK PLEASE

Answers

Answer:

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Answers

Answer:

∠P=29°

Step-by-step explanation:

The exterior angle theorem says that the exterior angle of a triangle is equal to the sum of the two remote interior angles.

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Find the volume of this object.

Answers

Answer:

24 will be your answer.

Step-by-step explanation:

what is 34 divided by 5

Answers

Answer:

6.8

Step-by-step explanation:

The solution is : 6.8 is the decimal when 34 divided by 5.

Here, we have,

given that,

34 divided by 5

Given the following mathematical expression;

34 /  5

We would apply the law of division for fractions.

34 /  5

= 34 ÷ 5

= 6.8

the decimal form.

Hence, The solution is : 6.8 is the decimal when 34 divided by 5.

To learn more on division click:

brainly.com/question/21416852

#SPJ6

Hi guys, help with these two questions please! Will mark as brainliest!!

Answers

Step-by-step explanation:

Answer is attached....of both the parts.

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