A ferry transports passengers to three different ports. from port a, the ferry travels east 3.5 miles to port b. the ship then turns 75° south and travels for 6 miles to reach port c. what is the distance d from port c to port a? approximate to the nearest tenth of a mile. miles

Answers

Answer 1

The distance d from port c to port a from the given ship movement is gotten as; 7.7 miles.

How to calculate bearing distance?

We are given;

Ferry travels east 3.5 miles from Port b.

Then it turns 75° south and travels for 6 miles till it gets to Port c

To get the distance d from port c to port a, we would make use of cosine rule which is;

c = √(a² + b² - 2ab*cos C)

Thus;

d = √(3.5² + 6² - 2(3.5 * 6)*cos 75))

d = 7.7 miles

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Answer 2

Answer:

Step-by-step explanation:7.7 miles


Related Questions


Which values of x and y satisfy both
equations below?
y = 3x
y = x + 16
A X= 8, y = 24
B x = 4, y = 20
CX = 4, y = 12
D x = 0, y = 0

Answers

y = y
3x = x + 16
2x = 16
x = 8
y = 3x = 3 (8) = 24

Go for A:
x = 8 y = 24

solve please!!!!!!!!

Answers

Answer:

m<ABC=42

Step-by-step explanation:

This image shows the majority of the math and all you do to get to that point is add 5x+13 and 3x+33 so you can find x which you will need to complete the equation for m<ABC, and you know they equal 70, which means all you have to do is take 8x+46=70 and work it out giving you x=3. then you can find m<ABC by pluging in 3 to the equation 3x+33, so 3*3=9, and 9+33=42, so your answer is m<ABC=42

15/1 x 20/7 dont have a calculator

Answers

Answer:

The answer is given below

Step-by-step explanation:

[tex] \frac{15}{1} \times \frac{20}{7} [/tex]

Multiple denominator with denominator and nenominator with nenominator

We ger

[tex] \frac{300}{7} [/tex]

This is the answer

In decimal by dividing 300 by 7 we get

42.8571

And in mixed form we get

[tex]42 \frac{6}{7} [/tex]

The explanation is given in the picture

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

The nth term of a sequence is 5n - 3.
Write down the first three terms of the sequence.

Answers

Answer:

2, 7, 12.

Step-by-step explanation:

Substitute n = 1, n = 2 and n = 3:

First term = 5(1) - 3 = 5-3 = 2

Second = 5(2) - 3 = 7

Third = 5(3) - 3 = 12.

I WILL MARK BRAINLIEST

Answers

i believe it is c as the range is 12-3 so 9 and the interquartile is 1/4 and 3/4 the way in

Determine the coordinate of the point where
y=x−6 crosses the x-axis.

Answers

Answer:

(6, 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x

0 = x - 6 ( add 6 to both sides )

6 = x

the line crosses the x- axis at (6, 0 )

Given ↓The equation y=x-6

To find ↓The coordinate of the point where the equation crosses the x-axis

Calculations ↓Let y be 0

Instead of y write 0:

0=x-6

Now solve for x :

0=x-6

Add 6 on both sides

6=x or x=6

We know the x coordinate of the point that intersects the x axis; the y coordinate is always 0.

Coordinates of the point ↓

(6, 0)

Fill in the blanks with the correct coefficient.

And if y’all could answer this too that would help

Answers

Answer:

the final answer is 2x²+17x-12

so to fill in the blank the first box will be 2 and the second box will be 12

A lemonade recipe calls for 1/4

cup of lemon juice for every 1 cup of water.


Drag the movable points to plot the pairs in the table.

Answers

Answer:

...

Step-by-step explanation:

0.25 cup of lemon juice every 1 cup of water.

If you multiply it 4 times it would be 1 cup of lemon juice for every 4 cups of water.

this quetion is hard for me

Answers

Answer:

(1, 4)

Step-by-step explanation:

I use Desmos for any graph related math problems and it's really helpful! It's completely free too. You should check it out :)

Hope this helps!

what is the value of the expression -8x3.2

Answers

Answer:

-25.6

Step-by-step explanation:

Hope this helped :>>>

Neela is making rectangular place mats that are 12 inches wide and 15 inches long. What is the least amount of ribbon that she will need to create a ribbon border around 1 place mat?

180 inches
54 inches
180 square inches
54 square inches

Answers

the answer to what ur asking is 54 in
54 inches bc 15 plus 15 is 30 n 12 plus 12 is 24 so 30 plus 24=54

Can someone help me find the answer?

Answers

Answer: 16.2

Step-by-step explanation:

3x+11+ 8x+2=90

then subtract 3 on both sides (8-3) to equal 5x

then subtract 2 from 11

so you should have 9+5x= 90

subtract 9 from 90

so 5x=81 and then divide to get 16.2

Answer:

(3x+11) = 32 degrees

(8x+2) = 58 degrees

Step-by-step explanation:

The two expressions equal 90 degrees when added together, so we use this equation to find out their values:

(3x+11) + (8x+2) = 90
11x+13 = 90
11x+13-13 = 90-13
11x = 77
11x/11 = 77/11
x = 7

Now that we know x equals 7, we can factor it in both of the expressions to find their true values:

3x+11
3(7)+11
21+11
=  32 degrees

8x+2
8(7)+2
56+2
= 58 degrees

We know this is correct because both values equal to 90 degrees:

32 + 58 = 90

62,81,103,126,144,144 find the median

Answers

Answer:

I think that median is given in the picture

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

Answer:

114.5

Step-by-step explanation:

103+126 then divide by 2

Create an equation that describes the greatest horizontal length, H, in terms of greatest vertical length v

Answers

The question illustrates a linear equation, and the equation that represents the greatest horizontal height is H = 2V + 3

How to determine the equation?

From the complete question, we have the following highlights:

The greatest horizontal height is three more than twice the greatest vertical length.

This means that:

H = 2 * V + 3

Evaluate the product

H = 2V + 3

Hence, the equation that represents the greatest horizontal height is H = 2V + 3

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Please help!! Will mark brainlyest.

Answers

Answer:

what's your question

Step-by-step explanation:

ello

Aladder that is 15 ft. long is leaning against the side of a
building as shown below. If the place where the ladder
touches the level ground is 9 ft. from the base of the
building, how high off the ground does the ladder touch
the building?

Answers

H. 12 ft

Given c=15, and a=9, you can use Pythagorean’s theorem a^2+b^2=c^2 to find b, the height

9^2+b=15^2

81+b^2=225

b^2=144

b=12

Height = 12

Factorise x2+5x-14

:)

Answers

Answer:

Step-by-step explanation:

7 and 2 are the two factors of 14.

One of them (and only 1) must be minus. That is the only way that you can get a minus 14.

The 7 must be plus. It has to larger than 2 in order to get + 5

Answer (x + 7)( x - 2) is how it factors.

Note

Always try using logic on the trinomial before going into the quadratic equation. If either the 5 is minus or the 14 is minus when one of the factors is minus. The sign in front of the middle number is the same as the larger of the two factors. So 7 must larger than 2. 7 is plus 2 is minus

James is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. What should be his next step in the construction?.

Answers

Answer
From the construction that James is doing the
next step that he should take would be: Use the
circumcenter to determine the center of the
circle.
How to construct a circle from a triangle
In order to construct a circle for the triangle, one
would have to find the perpendicular bisector of
all sides of the triangle.
From the established circumcenter, a pair of
compass would be used to contruct the circle.

Answer:

The correct answer is A.

Connect the arc markings to complete the perpendicular bisector.

Step-by-step explanation:

Which steps will translate f(x) = 3x to g(x) = 3x + 1 + 4? Shift f(x) = 3x one unit up and four units to the right. Shift f(x) = 3x one unit up and four units to the left. Shift f(x) = 3x one unit to the right and four units up. Shift f(x) = 3x one unit to the left and four units up.

Answers

Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

We need to translate :

f(x) = 3x ⇒ g(x) = 3x + 1 + 4

Here we need to use a bit of logic.

All of the options involve shifting the f(x) graph one unit and four units in various directions.To shift the graph up by one by horizontal action, we need to move one unit left so the new equation is 3x + 1To shift it up further by 4 vertically, we need to move four units upHence, our final function g(x) is given as :g(x) = 3x + 1 + 4

Answer:

Shift f(x) = 3x one unit to the left and four units up

Step-by-step explanation:

put it on test

Write
22
48
in lowest terms.

Answers

Answer:

11 and 24

Step-by-step explanation:

The density of copper is 9.86 g/cm³.
Work out the mass of the solid copper cuboid in kg.
10 cm
3 cm
5 cm

Answers

Answer:

1479 gm

Step-by-step explanation:

V = 10 * 3 * 5 = 150 cm^3

150 cm^3  * 9.86 g / cm^3 = 1479 gm

Roy wants to make a path from one corner of his yard to the other as shown below. the path will be 4 feet wide. he wants to find the area of lawn that remains. a rectangle has a height of 40 feet and a base of 15 feet. a 4 feet wide path forms a parallelogram inside of the rectangle. roy claims that the area of the lawn is 300 square feet since it covers exactly one-half of the yard. which statement about his claim is correct? he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 440 sq ft. he is incorrect. the path will have an area of one-half (4) (40) = 80 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 220 sq ft. he is incorrect. the path will have an area of (4) (40) = 160 sq ft. the yard has an area of 300 sq ft. the area of the lawn will be the difference of the yard and path, so it is 140 sq ft. he is incorrect. the path will have an area of (9) (40) = 360 sq ft. the yard has an area of 600 sq ft. the area of the lawn will be the difference of the yard and path, so it is 240 sq ft.

Answers

The incorrect claim is A. He is incorrect. The path will have an area of (4)(40)=160 sq ft. The yard has an area of 600 sq ft. The area of the lawn will be the difference of the yard and path, so it is 440 sq ft.

What is an Area?

This refers to the quantity used in mathematics to show the extent of a two-dimensional region, shape, or planar lamina, in the plane.

Hence, because Roy wants to make a path from one corner of his yard to the other, he makes an incorrect claim about the area of the yard and the lawn, and option A is the correct answer.

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Antonio has $15 to spend on a set of colored pencils for his art class. Which number line represents the amount that he can spend on the pencils?

Answers

Answer: A
If he has 15$ then he could spend all of it on the colored pencils, so there has to be a black dot on 15, & if he could buy the colored pencils less than 15$ then it has to be a black dot on 15 & an arrow pointing to less than 15

I hope this answers your question

A classroom has 26 chairs and 16 computers. What is the ratio of computers to chairs?

Answers

**THE PERSON UNDER ME IS ALSO CORRECT, THIS IS JUST ANOTHER WAY TO APPROACH RATIOS**

Explanation: Ratio seldom compares two numbers by dividing them (this depends on the problem). We are given A 16 computers and B 26 chairs. Therefore we have the formula of A/B.For example 16/26


Solving: Divide A by B: 16/26= 0.615 or 0.6

Multiple: Multiple the quotient by 100 in order to get the percentages. 0.615 x 100 = 61.5% (if you rounded 0.61, the answer would be 60%; for this problem I didnt round hence, 61.5%)


Answer: 61.5 %

Side note: I hope this helps, feel free to let me

know if you have anymore questions.


Answer:

   8 : 13

Step-by-step explanation:

ratio of  computers to chairs =  computers : chairs = 16:26 = 8:13

76250*18 maths problem

Answers

Step-by-step explanation:

1,372,500 ............

Answer:

1,372,500

Step-by-step explanaition

       7 6 2 5 0

×             1 8

+     6 1 0 0 0 0

+     7 6 2 5 0  

=  1 3 7 2 5 0 0

Therefore:

76250 × 18 = 1,372,500

An amphitheatre has 17 seats in the first​ row, 19 in the​ second, 21 in the​ third, and so​ on, for 32 rows. How many seats are in the​ amphitheatre?

Answers

Answer:

I believe your answer would be 2450 seats

Step-by-step explanation:



Help Help please :3

Answers

Answer:

C. 360

Step-by-step explanation:

Plugging it into a calculator.

n = 6 , r = 4

[tex]nPr=\frac{n!}{(n-r)!}[/tex]

[tex]6P4=\frac{6!}{(6-4)!}=360[/tex]

Which of the following is irrational?

Answers

Answer:

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

Step-by-step explanation:

the other 3 are perfect squares and have rational answers.

[tex]\sqrt{1.44} =1.2\\\sqrt{1}= 1\\\sqrt{4} =2[/tex]

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

A square root of any number that won't result in a whole number is irrational.

In this case, [tex]\sqrt{2}[/tex] is irrational.

1) Carolina walked to school on 12 of the 20 school days in March. Which value is NOT equivalent to the fraction of the school days in March that Carolina walked to school?
A) 60%
B) 0.06
C) 3/5
D) 0.60

Answers

The value that is not equivalent to the number of days Carolina walked to school during March is 0.06.

What is a fraction?

A fraction represents the proportion or part in a whole, in this case, the number of days Carolina walked to school out of the total days in March.

This relationship can be expressed as:

A fraction:

12/20

A simplfied fraction:

3/5 by dividing it into 4

A number:

12/20 = 0.60 by dividing 12 by 20

A percentage:

60% by multiplying the number by 100

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Suppose Jonathan eats 6 packages of pemmican. He also eats some biscuits. Create an equation that models the total number of calories Jonathan consumes, y, based on the number of biscuits he eats, x, and the 6 packages of pemmican.​

Answers

Using proportions, it is found that the equation that models the total number of calories Jonathan consumes is given by:

y = 810 + 75x.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem:

Each biscuit has 75 calories, hence x biscuits will have 75x calories.Each package of pemmican has 135 calories, hence 6 packages will have 6 x 135 = 810 calories.

Thus, the equation is given by:

y = 810 + 75x.

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