A ferry transports passengers to three different ports. From port 1, the ferry travels east 3.5 miles to port 2. The ship
then heads 15 east of south for 6 miles to reach port 3. What is the distance from port 3 to port 1? Draw a diagram to
help you. Approximate to the nearest tenth of a mile.
miles

Answers

Answer 1

Answer:

7.7

Step-by-step explanation:

trust me, I solved it out

Answer 2

Answer: The distance between port 3 to port 1 is 7.7 miles.

A rough sketch is attached.

The angle between 3.5 and 6 is = (90 + 15) = 105 degrees.

We will need the law of cosine.

So the distance between port 3 to port 1 is:

[tex]\sqrt{3.5^{2}+6^{2}-2\left(3.5\right)\left(6\right)\cos\left(105\right)}=7.68897911912=7.7[/tex].

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A Ferry Transports Passengers To Three Different Ports. From Port 1, The Ferry Travels East 3.5 Miles

Related Questions

A skier is trying to decide whether or not to buy a season ski pass a daily pass cost $63 a season ski pass cost $350 to scare would have to rent skis with either a pass for $25 per day how many days with the skier have to go skiing in order to make the season pass less expensive than the daily pass

Answers

Answer:

um

Step-by-step explanation:

what is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?

Answers

Answer:

5 2/5

Step-by-step explanation:

(2 1/4) / x = (1 1/2) / (3 3/5)

so

x = (2 1/4) * (3 3/5) / (1 1/2)

Can you help me with this I don’t know how to do it

Answers

Answer:

67,900

Step-by-step explanation:

Move the decimal place 4 spaces to the right.

Answer:

it is for sure 67,900 :)

Step-by-step explanation:

Solve the absolute value equation [x] - 2 = 5 to find the distance Mary can walk forward, x, in
5 seconds.
x = 7 m and x = -7 m
x=-3 m and x = 7 m
x = -7 m and x = 3 m
x = 3 m and x = -3 m

Answers

Answer:

the answer is x=7 and x=-7

Step-by-step explanation:

Write the equation of the line that is parallel to the line y = 3/2 x + 5 and passes through the point (4,1).

Answers

Answer:

m=3/2

y-1=3/2(x-4)

y-1=3/2 x-6

y=3/2 x -5

Step-by-step explanation:

slope of tangent line is equal to slope of line that parallel

four and five thousand three ten-thousandths
Write the number

Answers

Answer:

4.0503

Step-by-step explanation:

The highest ever recorded temperature on earth was 136°F in the US and the lowest was − ° 129 F in Antarctica. What is the difference of these temperatures recorded on Earth?

Answers

Answer:

136 + 129= 265

Step-by-step explanation:

when you're finding the difference and one number is positive and the other is a negative number you will add the negative instead of add them together so you would 129 to 136 which would equal 265. this rule applies to the opposite too. if both numbers are positive, then you would subtract them.

on a random Monday in the spring, 95% of students are present at school. if there are 589 students present, then how many students are enrolled?​

Answers

Answer:

620

Step-by-step explanation:

95% × 620 =

(95 ÷ 100) × 620 =

(95 × 620) ÷ 100 =

58,900 ÷ 100 =

589;

I need a expression for the area of the shaded region.

Answers

Answer:

the shaded area= s²-2πr²

Step-by-step explanation:

you have 2 circles

Area of circle=πr²

2 circles=πr²+πr²=2πr²

the area of square=s*s=s²

the shaded area= s²-2πr²

9x10^7 is how many times as large as 3x10^3

Answers

9x10^7

10x10=100x10=1,000

1,000x10=10,000

10,000x10=100,000

100,000x10=1,000,000

1,000,000x10=10,000,000

10,000,000x9=90,000,000

3x10^3

10x10=100x10=1,000

1,000x3=3,000

90,000,000/3,000=30,000

So 9x10^7 is 30,000x larger than 3x10^3

hope it helps!

9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

What is Exponents?

The number of times a number has been multiplied by itself is referred to as an exponent.

The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.

Given:

9x [tex]10^7[/tex]

The number [tex]10^7[/tex] can be expanded as

[tex]10^7\\[/tex] = 10,000,000

and, 9x [tex]10^7[/tex] = 9 x 10,000,000

                   = 90,000,000

The number [tex]10^3[/tex] can be expanded as

[tex]10^3[/tex] = 1000

and, 3 x 10³ = 3 x 1000

                   = 3000

Then, 90,000,000/3,000

      =30,000

Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.

Learn more about Exponents here:

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Help with this math problem 4/3•5/2

Answers

Answer:

The answer is 10/3 or 3 1/3

Step-by-step explanation:

Hope this helps

Find f(k - 1) when f(x) = 5x^2+ 4x – 5.

Answers

Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.

[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]

[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]

[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]

[tex]f(k-1)=5k^2-6k-4[/tex]

Hope this helps.

頑張って!

f(k-1) = 5k² - 4k - 4

The given function is:

f(x) = 5x² + 4x - 5

To find f(k-1), substitute x = k-1 into f(x)

f(k-1) = 5(k-1)² + 4(k-1) - 5

f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5

f(k -1) = 5k² - 10k + 5 + 4k -9²

Collect like terms

f(k-1) = 5k² - 10k + 5k + 5 - 9

Simplify

f(k-1) = 5k² - 4k - 4

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Two numbers have a sum of 2 and a difference
of -16. What are the numbers?

Answers

Answer:

-7 & 9

Step-by-step explanation:

(-7) + 9 = 2

(-7) - 9 = -16

x + y = 2

x - y = -16

Add the equations together to eliminate one of the variables.

2x = -14

Divide both sides by 2

x = -7

Let's plug -7 into x for our first equation.

-7 + y = 2

Add 7 to both sides.

y = 9

I NEED HELP ON THIS!! Solve for y: 3(2x+5)+4y=3(y-2x)+10

Answers

Answer:

10

Step-by-step explanation:

Begin with x3 + y3 = 4 . Differentiate both sides of the equation, getting

D ( x3 + y3 ) = D ( 4 ) ,

D ( x3 ) + D ( y3 ) = D ( 4 ) ,

(Remember to use the chain rule on D ( y3 ) .)

3x2 + 3y2 y' = 0 ,

so that (Now solve for y' .)

3y2 y' = - 3x2 ,

.

Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}

Answers

Answer:

A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}

Step-by-step explanation:

I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.

The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.

In other words, the function is a relationship between variables and the nature of the relationship.

In the given question

We know that a function is only a function such that there is a unique value of y corresponding to x.

An inverse function will only be a function if the function which is going to be inverse is a function.

In option (A) all value of x corresponding to y are different but in  all remaining options the values are repeating hence that will be not a function since only (A) has to inverse

For more about the function

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• Cowes 5 dollars.
• D has 10 more dollars than E.
• F has 8 more dollars than E.
. E has no money and owes no money.
• A is the opposite of D.
• B has 4 dollars less than D.
(a) A =
(c) C =
(e) E-
(b) B =
(d) D =
(f) F =

Answers

A) -10
C) -5
E) 0
B) 6
D) 10
F) 8

Step 1: 4r +5 = 7
Step 2: 4x = 2
1
Step 3: x = }
1 2
The property that was used in step 1 was the
The property that was used in step 2 was the
The property that was used in step 3 was the

Answers

Answer:

1- r=.5

2- x=.5

Step-by-step explanation:

sorry my handwriting is bad

The ratio of boys to girls in a classroom is 15 to 12. What is the ratio of boys to total students in the classroom.

Answers

Answer:

Step-by-step explanation:

15 boys  + 12 girls = 27 students

15:27 = 5:9

First, add to find total number of students.

15 + 12 = 27

Second, create the new ratio.

15 to 27

Best of Luck!

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

y=(7/5)x + 34/5

Step-by-step explanation:

All straight lines generally follow the equation format of: y=mx+c

Where m is the slope/gradient of the line, and c is a constant, the y-intercept, the y value when x=0.

To start, we need to find the slope, which we do by dividing the rise of the line by the run, that is the difference between the y value of two points divided by the different between the x value of two points.

We can use the two given points on the graph: (-7,-3) and (-2,4).

The rise is 7 because 4-(-3)=7, and the run is 5 because -2-(-7)=5.

Therefore the slope is 7/5.

so our equation so far is:

y=(7/5)x + c, (It is positive because the line is 'going upwards'.)

Now to find the c, we can just substitute in a pair of coordinates, we can use (-2,4):

4= (7/5)(-2) + c

4 = -14/5 + c

4 + 14/5 = c

c= 34/5

Therefore our full equation is:

y=(7/5)x + 34/5

Hope this helped!

Solve for X. x squared = 49 show your work

Answers

Answer:

+ 7 or - 7

Step-by-step explanation:

x^2 = 49

x = (49)^1/2     (1/2 means nothing but square root)

x = + or - 7

I said this answer because you square 7 and -7 and still get 49

5.4 x 28.7 =
What is the answer

Answers

Answer:

154.98

Step-by-step explanation:

Answer:

155(estimated to 3 s.f)   154.98(exact value)

Step-by-step explanation:

Very nice question bro

Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 3.14 + 0.62 = ___.

Answers

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___.

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Step 2

Solve the addition equation

= 3.1 + 0.6

= 3.7

Answer:

3.7

Step-by-step explanation:

3.14 + 0.62 = ___...........

Step 1

Round each decimal to the nearest tenth

3.14 to the nearest tenth = 3.1

0.62 to the nearest tenth = 0.6

Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)​

Answers

Answer:

4x

Step-by-step explanation:

P = S + S + S

P = x + x + 3 + 2x - 3

P = 4x

Simplify the equation -4(2x-4)

Answers

Answer:

-8x + 16

Step-by-step explanation:

This is called expanding brackets in algebra

1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside      

-4 x 2x = 8x

-4 x -4 = 16

(WILL MARK BRAINLIEST PLEASE HELP!) Rule for reflecting 90, 180, 270, and 360 degrees clockwise (reflection not rotating please)

Answers

Answer:

Rotation of 90° (x, y) → ( ‐ y,  x )

Rotation of 180° (x, y) → ( ‐ x,  ‐ y )

Rotation of 270° (x, y) → ( y,  ‐ x )

idk 360...

I need to find the slope of the line

Answers

Answer:

4/1

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

because if you go from one point to the next, it is 4 up and 1 across, therefore 4/1, or 4 :)

How many intersecting planes are there in a cube?

Answers

Answer: a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex. The cube is the only regular hexahedron and is one of the five Platonic solids. It has 6 faces, 12 edges, and 8 vertices.

Step-by-step explanation:

Answer:

The cube has nine symmetry planes. Three planes lie parallel to the side squares and go through the centre (picture). Six planes go through opposite edges and two body diagonals. They divide the cube into prisms

Find the least common multiple of 3, 6 and 15

Answers

Answer: 30

Step-by-step explanation:

*Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, ..., 30

* Multiples of 6: 6, 12, 18, 24, 30

* Multiples of 15: 15, 30

w(n)=n-1; find w-(4)

Answers

Answer:5

Step-by-step explanation:

w(n)=4-1

=5

y+9÷2=y-3÷4-(y/3)
pls help​

Answers

Answer:

y = - [tex]\frac{63}{4}[/tex] or - 15.75

Step-by-step explanation:

Order of operations.

y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.

y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] =  - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]   Add [tex]\frac{3}{4}[/tex] to each side

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]

[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]    Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4

[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]

[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex]   Multiply each side by 3

[tex]\frac{21}{4}[/tex]  * 3 = - [tex]\frac{y}{3}[/tex] * 3

[tex]\frac{63}{4}[/tex] = - y      Divide each side by -1

y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]

y = - 15.75

Step-by-step explanation:

There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.

y+9÷2=y-3÷4-(y/3)y - y + y/3 = - 3/4 - 9/2               ⇒ combining like termsy/3 = -3/4 - 18/4y/3 = -21/4y = -21/4*3y = -63/4y = - 15 3/4

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

(y+9)÷2=(y-3)÷4-(y/3)12*(y+9)/2 = 12* (y-3)/4 - 12*y/3      ⇒ this is to get rid of fraction6(y+9) = 3(y-3) - 4y6y + 54 = 3y - 9 - 4y6y + 54 = - y - 96y + y = - 9 - 547y = - 637y/7 = -63/7y = -9
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