A ship is 40 miles east and 25 miles south of port. The captain wants to sail directly to port. What bearing should be taken?

Answers

Answer 1

Answer:

N58°W

Step-by-step explanation:

The trigonometry diagram has been attached below :

To obtain the angle θ ;

Tan θ = opposite / Adjacent

Tan θ = 40 / 25

Tan θ = 1.6

θ = tan^-1(1.6)

θ = 57.99°

Henve, bearing directly to Port is :

N58°W

A Ship Is 40 Miles East And 25 Miles South Of Port. The Captain Wants To Sail Directly To Port. What

Related Questions

A Florida citrus grower estimates that if 150 orange trees are planted, each tree will produce 500 oranges. For each additional tree planted on the same acreage, the number of oranges each tree produces will decrease by 10 oranges. Find the maximum number of oranges the citrus grower can produce. How many trees will the citrus grower need to plant?

Answers

Answer:

The answer is below

Step-by-step explanation:

The question would not give a valid answer, the question should be in the form:

A Florida citrus grower estimates that if 30 orange trees are planted, each tree will produce 500 oranges. For each additional tree planted on the same acreage, the number of oranges each tree produces will decrease by 10 oranges. Find the maximum number of oranges the citrus grower can produce. How many trees will the citrus grower need to plant?

Solution:

Let x represent the number of orange trees above 30 to be planted on the acreage and let y be the number of oranges. Since for every additional tree there is a decrease of 10 oranges, hence:

y = (30 + x)(500 - 10x)

y = 15000 - 300x + 500x - 10x²

y = 15000 + 200x - 10x²

The number of oranges is maximum at y' = 0. Hence:

y' = 200 - 20x

200 - 20x = 0

20x = 200

x = 10

Second derivative test = y" = -20 (so this is maximal)

Therefore the number of trees needed = 30 + 10 = 40 trees

Maximum number of oranges = (30 + 10)(500 - 10(10)) = 40(400) = 16000 oranges

Answer:

Step-by-step explanation: this is 150 multiplied by 500

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Answers

Volume=3.14(pi) r (radius)^2 h/3
3.14*3^2*8/3=75.39 cm

75.39cm

Answer:

I think it might be 301.59,im not completely sure tho

HELP PLEASE!!! Picture below!

Length of Segments Practice
the the darom below to annwer questions

Answers

Answer:

7 (units)

Step-by-step explanation:

If E is placed at the number 6- then it would take 6 to get to 0. If B is placed at -1, then it would be one more backward to get to B- so it would take 7 to get from E to B.

2. Which property is used in the statement?
If 2w=−8, then w=−4.
A. Reflexive Property
B. Division Property of Equality
C. Subtraction Property of Equality
D. Symmetric Property

Answers

Answer:

B

Step-by-step explanation:

A model car is made to a scale of 1:50 (model: real). If the model has a length of 10 cm, calculate the length of the real car (answer in meters).

Answers

Answer:

5 m

Step-by-step explanation:

A model car is made to a scale of 1:50 (model: real).

If the model has a length of 10 cm, calculate the length of the real car (answer in meters).

We have a scale of :

model: real = 1:50

The model has a length of 10cm

Hence:

1 cm = 50 cm

10 cm = x cm

Cross Multiply

x cm × 1cm = 10 cm × 50 cm

x cm = 10 cm × 50 cm/1cm

x cm = 500 cm

The length of the real car is 500cm

Converting the length of the real car to meters

100cm = 1 m

500 cm = x m

Cross Multiply

100cm × x m = 500 cm × 1 m

x m = 500 cm × 1 m/100 cm

x m = 5 m

The Length of the real car in meters is 5m

What is the additive 3x -6

Answers

Answer:

-18

Step-by-step explanation:

Answer:

−3x+6

Step-by-step explanation:

15 - 7 + 3 ( 6 + 2) / 2^3 PLEASE SOLVE BY USING A STEP BY STEP SOLUTION

Answers

Answer:

11

Step-by-step explanation:

PEMDAS

Parentheses first:

15 - 7 + 3 (8) / 2^3

Exponent second:

15 - 7 + 3 (8) / 8

Multiplication:

15 - 7 + 24 / 8

Division:

15 - 7 + 3

Addition:

15 - 4

Subtraction:

11

Answer:

The answer is [tex]{\underline{\boxed{\sf{\purple{4}}}}}[/tex]

Step-by-step explanation:

Solution :

To solve the above equation we will follow the BODMAS rule.

[tex]\small\pink\bull[/tex] BODMAS is an order of mathematic operations.[tex]\small\pink\bull[/tex]  BODMAS rule is to be followed while solving expressions in mathematics.

It stands for :

[tex]\begin{gathered}\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}\end{gathered}[/tex]

Solving the question by bodmas rule :

[tex]\implies\tt{\dfrac{15 - 7 + 3(6 + 2)}{{2}^{3}}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 3(8)}{2 \times 2 \times 2}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 3 \times 8}{4\times 2}}[/tex]

[tex]\implies\tt{\dfrac{15 - 7 + 24}{8}}[/tex]

[tex]\implies\tt{\dfrac{39- 7}{8}}[/tex]

[tex]\implies\tt{\dfrac{32}{8}}[/tex]

[tex]\implies\tt{\cancel{\dfrac{32}{8}}}[/tex]

[tex]\implies\tt{\underline{\underline{\red{4}}}}[/tex]

Hence, the answer is 4.

. Why do you add 6 + 4 rs

Answers

honestly bro i'm not sure i think it's because y=mx+b

Vannesa earns a base salary of $400 every week with an additional 5% commision on everything else sells. Vannesa sold $1650 worht of items last week. What was vanessas total pay salary last week?

Answers

Answer:

482.5

Step-by-step explanation:

[tex]1,650*0.05=82.5\\400+82.5=482.5[/tex]

PLEASE HELP MEEE :((((((((

Given the polynomial 21x 4 + 3y - 6x 2 + 34


What polynomial must be subtracted from it to obtain 29x 2 - 7 ?
What polynomial must be added to it to obtain a first degree polynomial?

Answers

Answer:

I don't know

Step-by-step explanation:

ok k ggceyubvsxhik n

1 less than the square of a number.

Answers

Answer:

x^2-1

Step-by-step explanation:

I hope this helps.

I have two congruent sides.I also have two congruent angle i am (n) -------- that measures 45 each s

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

Given

Two congruent angles and two congruent sides

Base on the given description, the concept being described is an isosceles triangle, as it has two congruent sides and two congruent angles.

If each angle measures 45 degrees each, then the third angle is 90 degrees.

This is shown below.

[tex]\theta + 45 + 45= 180[/tex] --- angles in a triangle

[tex]\theta + 90= 180[/tex]

Subtract 90 from both sides

[tex]\theta = 90[/tex]

What is the image of ( 2 , 8 ) after a reflection over the x-axis?

Answers

Answer:

(2,-8)

Step-by-step explanation:

To reflect across the x axis make the y negative

8 is negative here

Answer this question to get marked as brainliest plus 20 points!!!!!

Answers

Answer:

A. 91°

Step-by-step explanation:

∠A ≅ ∠B as vertical angles∠B + 47° + 42° = 180° (straight angle)∠B = 180° - 89° = 91°∠A = ∠B = 91°

Question 1 of 5 Select the correct answer. If the factors of quadratic equation are (x − 7) and (x + 3), what are the x-intercepts? (-7,0) and (-3,0) (-7,0) and (3,0) (3,0) and (7,0) (-3,0) and (7,0)

Answers

Answer:

(7,0) and (-3,0)

Step-by-step explanation:

Given the factors, we want to get the x-intercepts

All we have to do is to get the x values by equating the factors to zero

we have this as;

(x -7) = 0 and (x + 3) = 0

x = 7 and x = -3

The x-intercepts are;

(7,0) and (-3,0)

Find the 11th term in the geometric sequence: 4, 6, 9,....

Answers

Answer:

A11 = 230.66015625

Step-by-step explanation:

hi!

the first thing that you have to do when solving for the 11th term in a geometric sequence is to find the common ratio!

I did this by dividing 6/4 = 3/2 (I did multiply this by 6 to test if it was correct, and it was)

the next thing you can do is use this formula:

An = A1*r^(n-1)

An = the nth term of the sequence

A1 = the first term in the sequence

r = common ratio

n = the number of term that you are solving for

A11 = 4*(3/2)^(11-1)

A11 = 4*(3/2)^10

A11 = 230.66015625

Adam is trying to estimate the height of the school. He notices during a
particular time of day that his shadow is 8.5 feet ling and the school casts
a shadow 59.5 feet long. If Adam is 6 feet tall, what is the height of the
school?

Answers

Answer:

42.5 maybe

Step-by-step explanation:

Help me please. I’ll mark brainliest

Answers

Answer:

I don't really understand this question

But if it's asking you to switch,

1. r = 2.5

2. r = 12

3. d = 34

If y is directly proportional to x and y = 17.5 when x = 21.

Answers

Then what’s the question?

What is the sum of 1/2 + 1/4?

Answers

Answer:

3/4

Step-by-step explanation:

have a great day :D

find the area of the semi circle please ​

Answers

Answer:

58.4197cm^2

Step-by-step explanation

cirlce area formula: [tex]\pi[/tex]r^2

r= 6.1

[tex]\pi[/tex]=3.14

Now plug numbers into the formula

area of circle:

= (3.14)(6.1^2)

=(3.14)(37.21)

= 116.8394cm^2  ------> area of full circle

now divide by 2, to find area of semi circle

116.8394/2= 58.4197cm^2

[tex] \huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}[/tex]

area of semicircle is 58.572 m²

[tex] \huge \sf { \fcolorbox{green}{g}{Explanation :- }}[/tex]

[tex] \huge \underline{\large \fbox \red{Concept : }}[/tex]

We have to find the area of semicircle

So firstly we need to find the area of circle. because the semicircle of circle is the half of area of circle so first we find the area of circle then divide by 1 /2 then we get the area of semicircle.

We have given the radius of circle is 6.1 m

[tex]\huge\mathfrak\red{Solution : }[/tex]

[tex] \mathfrak \green{Area \: of \: circle = π × ( radius) ²}[/tex]

[tex]\mapsto \: \: \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times( 6.1 \: m)^{2} } \\ [/tex]

[tex]\mapsto \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times37.21 \: m {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak \blue{ = 116.94 \: m {}^{2} }[/tex]

Therefore,

[tex]\small \mathfrak \red{Area \: of \: semicircle = \frac{1}{2} \times area \: of \: circle}[/tex]

[tex] \small \mathfrak \green{ = \frac{1}{2} \times 116.94 \: cm \: {}^{2} } \\ [/tex]

[tex]\mapsto \: \small\: \: \: \: \: \: \mathfrak { = 58.472\: m {}^{2} }[/tex]

[tex] {\underline {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}[/tex]

A manager records the number of projects employees complete in one month. If the manager wants to summarize the data, which two statements are true?

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.
The manager should use a measure of center to summarize how the number of projects employees complete differs.
The manager should use a measure of center to summarize the typical number of projects an employee completes.
The manager should use a measure of variability to summarize how the number of projects employees complete differs.
The manager should use a measure of variability to summarize the typical number of projects an employee completes.

Answers

Answer:

The manager should use a measure of center to summarize how many projects the employees that complete the least projects complete.

Step-by-step explanation:

Can someone explain their answer? ​

Answers

The answer is -36 because
13,6,-1,-8,-15,-22,-29,-36

Answer: -36

Step-by-step explanation:

13, 6, -1

to get from 13 to 6 and 6 to -1, you would subtract by 7 so keep subtracting by 7 until you get 8 different terms

13, 6, -1, -8, -15, -22, -29, -36

the eighth term would be -36

i hope that makes sense

there were n signers of the declaration of independence. the oldest was benjamin franklin, who was y years old. 7 is 10% of y. what was franklins age

Answers

Answer:

70

Step-by-step explanation:

In this problem 7 is 10% of Ben Franklin's age. To solve you must find what 100% percent of his age is. To do this multiply 7 by 10. You do this because 10% times 10 is equal to 100%. Therefore, his age is 70.

Determine if the expression -z^3 + 8x is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial. (Someone help me )

Answers

Answer No because it does not have a coefficient

Step-by-step explanation:

What is one individual member of the sample called?

Answers

Answer:

there is no sample

Step-by-step explanation:

if you put a picture then someone can help you

What is the value of X enter your answer in the box

Answers

X = 5
If C is the midpoint, it means AC and CQ are equal length, meaning:
7x+3 = 38
Subtract 3 from each side, then divide by 7 on each side, and you’ll get x = 5

help help help help help

Answers

Sheryl earns about 13$ an hour so what you have to do is multiply 13 by 9 and then if I’m correct then that answer should land somewhere on the Line drawn

Find the value of x for the pic

Answers

x should be 7, 8x-4=60

Are 1+(8r +9) and (2+8) +8r equivalent

Answers

Answer:

Yes.

Step-by-step explanation:

1+(8r+9)

1+8r+9=8r+10

(2+8)+8r

10+8r

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