A vessel sails 41 miles S 45 E. How far south has it sailed?

119 miles
61 miles
29 miles

Answers

Answer 1

Answer:

[C] 29 Miles

Step-by-step explanation:

Given that the vessel sails 41 miles S 45° E.

We need to determine the how far south the vessel has sailed.

Let us use the Pythagorean theorem to find the distance of the vessel has sailed.

Thus, we have,

[tex]Cos 0= \frac{adj}{hyp}[/tex]

Substituting [tex]0 = 45[/tex]° , [tex]adj = x[/tex], and [tex]hyp = 41[/tex]

Hence, we get,

[tex]cos[/tex] [tex]45 = \frac{x}{41}[/tex]

Simplifying, we have,

[tex]0.71 = \frac{x}{41}[/tex]

Multiplying both sides by 41, we have,

[tex]29.11 = x[/tex]

Rounding off to the nearest integer, we have,

[tex]29 = x[/tex]

Thus, the vessel has sailed 29 miles South.

Therefore, Option C is the correct answer.

[RevyBreeze]


Related Questions

Josh can eat 35 tacos in 7 minutes. At this rate, how many tacos 1/2minutes ? will he eat in 4 1 minutes?​

Answers

Answer:

22 and a half

Step-by-step explanation:

josh eats 35 tacos in 7 minutes. break it down into 7ths. you will get:

| 5 | 5 | 5 | 5 | 5 | 5 | 5 |

Count four of those: or 5 x 4 = 20

Add half of 5= 2.5

                             20 + 2.5 = 22.5                                                                                                                  

Look at the sequence below. Which statement best describes the relationship between terms. 1 64, 4,​

Answers

The statement best describes the relationship between terms is that they are perfect squares

What are perfect squares?

Perfect squares are the product of an integer with itself

All the terms of the sequences are perfect squares since:

1^ 2 = 1

8^2 - 64

2^2 = 4

Note that since we can multiply the integers together with each other, then they are a perfect square.

The statement best describes the relationship between terms is that they are perfect squares

Learn more on perfect squares here: https://brainly.com/question/1538726

Antonio flips a Coin 40 times. The coin lands on tails 12 times. According to theoretical probability, how many more times would Antonio have expected the coin to land on tails?​

Answers

Answer:

Therlanmo proidigy

Step-by-step explanation:

show given 4x+5y>= -20 inequalities on a graph

Answers

Answer:

y≥−4/5x−4

Step-by-step explanation:

Im not sure but i think its correct

What is a related fact for 6 + 8 = 14

Answers

10 + 4 = 14 or 14-10+10=14

Answer:

8+6= 14

Step-by-step explanation:

I think but I'm not sure

Find the maximum area for a rectangle with a perimeter of 120 meters.

Answers

Answer:

900 m^2

Step-by-step explanation:

Let x = length, y = width

perimeter = 2x + 2y = 2(x + y) = 120. so

x + y = 60, or y = 60 - x

Area = xy = x(60 - x) = 60x - x^2

= -(x^2 - 60x + 30^2) + 30^2

= 900 - (x - 30)^2

Note (x - 30)^2 is never negative, at least zero.

When (x - 30) = 0, the area is the largest which is 900 m^2

Will name BRAINLEST!

Determine the area of the given triangle. *

Answers

Answer:

12 units

Step-by-step explanation:

A=hbb/2=6·4/2= 12

Y’all I really don’t understand-
Some help with some of this transformation on linear functions would help, you don’t have to necessarily answer all of them, just if you answer two or three i’d be really grateful ;w;

Answers

Answer:

1. f(x) - 7

2. The lines do not have same x-intercept

3. a(x) = f(x+7)

4. b(x) = f(x-3)

5.  c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)

6. a. g(x) = f(x-8)

   b. Slope of g(x) = 1                                        

   c. y-intercept = (0, -8)

7. a. p(x)=f(x+6) is vertical transformation of f(x) = x. f(x) is the parent function.

   b.(please check explanation section.)

For the second page, here are the answers

5.

a. False

The slope of f(x) will be steeper than m(x)

b. False

The y-intercept doesn't change due to multiplication of 3/5

6. C. h(x) = 3f(x-5)

7. d(x) = 1/4 f(x) + 9

8. Erika: c(x) = 4f(x) + 4 is the first graph

Landry: c(x) = -4f(x) + 3 is the second graph

Step-by-step explanation:

1. f(x) - 7 = x - 7 ( y intercept is translated down when g(x) = x - k )

2. The lines do not have same x-intercept. ( x-intercept of f(x)=x is (0,0) and that of f(x-10) is (0,10)

3. a(x) = f(x) + 7 = x + 7 = f(x+7)

4. b(x) = f(x) - 3 = x - 3 = f(x-3)

5. c(x) = f(x) + 5 = x + 5 = f( x+5)

   c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)

6. a. g(x) = f(x) - 8 = x -8 = f(x-8)

    b. Slope of g(x) = Slope of f(x)      

         Slope of f(x) =  d(f(x)/dx = dx/dx = 1

          Therefore Slope of g(x) = Slope of f(x) = 1      

c. y-intercept = (0, -8)       (In this case The y-intercept of g (x)=f(x-8) is translated down as -8<0 by 8 units.)

7.  b. Look at the graph for part b

Now for the second page, here are the steps

look at the pictures, they show the steps and solution

BRAINLIEST
please solve 8 x 1/3 and show work!

Answers

8 x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8}{1}[/tex] x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8 x 1}{1 x 3}[/tex]

=[tex]\frac{8}{3}[/tex]

Answer:

8/3 or 2 2/3

Step-by-step explanation:

8 is also equal to 8/1

8/1 x 1/3

you multiply the numerators to get 8

then multiply the denominators to get 3

remember, hydrate or diedrate.
u r loved
cheese

Answers

Answer:

ok

Step-by-step explanation:

Two candidates ran for class president. The candidate that won received 80% of the 250 total votes. How many votes did the winning candidate receive?

Answers

Answer:

200 votes

Step-by-step explanation:

250*.8=200

Answer:

The winning candidate recieved 200 votes.

Step-by-step explanation:

80%=0.8

250*0.8=200

Which statements describe one of the transformations performed on f(x) =^2 to create g(x) = -(x - 2)^2+5 ?

Answers

Answer:

f(x-6) ... shift right 6

2f(x-6) ... stretch vertically by 2

-2f(x-6) ... reflect across x-axis

-2f(x-6)+5 ... shift up 5

Step-by-step explanation:


Can anyone help please

Answers

y=0.5 since it goes up 0.5
The answer is y= 10x

What is the missing number in this sequence?

Answers

Answer:

13,21,34,55,89,144,233,377

Step-by-step explanation:

i did it in my mind and im correct

prob

When you add fractions does the denominator change.

Answers

it may or may not change

Answer:

No.

Step-by-step explanation:

The denominator only changes when multiplying or dividing.

A shop orders 23 packs of pens for 2.81 each. how much do they pay

Answers

Answer:

$64.63

Step-by-step explanation:

Multiply both values:

23 packs for 2.81 each23 x 2.8164.63

They pay 64.63

-Chetan K

Answer:

$64.63

Step-by-step explanation:

You multiple 23 by $2.81, I'm sorry if the explanation is brief, but this problem is relatively simple.

Have a nice day!

[:

Levi is planning a road trip. He throws a dart on a map of the United States to decide where to go. There are 4 states that start with the letter A, 3 states that start with the letter C, and 8 states that start with the letter M. What is the probability that Levi throws a dart on a state that starts with an A or an M? (Hint: There are 50 total states.)

P(A∪M)=

1) 0.01
2) 0.24
3) 0.64
4) 0.42

Answers

Answer:

since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M

I would appreciate if someone helped me with this question! Please include the steps you made to get the answer :)
1-2x=-x+3

(Please don't delete this question again!!! Its school appropriate theres nothing wrong with it! I'm doing what im supposed to!)

Answers

1-2x=-x+3
1-2x-3=-x
-2-2x=-x
-2-2x/-2x=-x/-2x
-2=0.5x
-2/0.5=0.5x/0.5
-4=x

Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and
248 legs. Assuming there are no mutations in the animals, determine exactly how many ducks and
cows he saw. Let X represent the number of ducks and y represent the cows.
Total Equation:
Legs Equation:
How many ducks?
How many cows?

Answers

Answer:

44 cows and 36 ducks.

Step-by-step explanation:

x is ducks and y is cows.

Assuming both have 1 head each, we can write:

x + y = 80.

Let's assume each x(cow) has 4 legs and each y(duck) has two legs.

Then we can add the numbers of legs:

2x + 4y = 248 legs

Now rearrange x + y = 80 to:

x = 80-y

and substitute:

2x + 4y = 248 legs

2(80-y) + 4y = 248 legs

160 - 2y + 4y = 248 legs

2y = 88 legs

y = 44   [There are 44 cows]

Use this value to find the number of ducks:

x + y = 80

44 + y = 80

y = 36  [There are 36 ducks]

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

Check:

Do 44 cows and 36 ducks have a total of 248 legs?

4*44 + 2*36 = 248 ?

176 + 72 = 248?

YES

The curved surface area of a right circular cylinder of height 14 cm is 88 cm². ​

Answers

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

➣ Height of cylinder = 14 cm➣ Curved surface area = 88 cm²

[tex]\begin{gathered}\end{gathered}[/tex]

TO FIND :

in the provided question we need to find :

➠ Radius of cylinder ➠ Diameter of cylinder

[tex]\begin{gathered}\end{gathered}[/tex]

USING FORMULAS :

[tex]\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}[/tex]

➛ Csa = Curved surface area ➛ π = 22/7➛ r = radius ➛ h = height ➛ d = diameter

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}[/tex]

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}[/tex]

Hence, the diameter of the base of the cylinder is 2 cm.

[tex]\rule{300}{2.5}[/tex]

CSA of a cylinder = 88 cm²

height = 14 cm

diameter = ?

CSA of a cylinder = 88 cm²

2πrh = 88 cm²

____

[tex]2 \times \frac{22}{7} \times r \times 14 = 88 cm²[/tex]

[tex]2 \times \frac{22}{1} \times r \times2 \: = 88 cm²[/tex]

[tex]2 \times 22 \times r \times 2 = 88 cm²[/tex]

[tex]88r = 88 cm²[/tex]

[tex]r = \frac{88}{88} [/tex]

[tex]r = 1 [/tex]

____

Diameter = radius + radius

= 1 + 1

= 2

____

Therefore, The Diameter of the base of the cylinder is 2.

Solve the inequality.


20 < k + 19

Answers

Solution:

Simplify the inequality and solve.

20 < k + 19=> 20 - 19 < k=> 1 < k

The simplified inequality is 1 < k.

[tex] \sf20 < k + 19[/tex]

Move the variable to the left-hand side and change its sign

[tex] \sf20 - k < 19[/tex]

Move the constant to the right-hand side and change its sign

[tex] \sf \: - k < 19 - 20[/tex]

Calculate the difference

[tex] \sf \: - k < - 1[/tex]

Change the signs on both sides of the inequality and flip the inequality sign

[tex] \boxed{ \tt \: k > 1}[/tex]

Find the size of angle AED

Answers

Triangle CED = 47°

Triangle BEC = 28°

360 - 28 - 47 - 112 = 173

The answer = 173°

i’ll give brainliest!!! question in the picture

Answers

Answer:

5a + 2b is the total amount Hattie spent

Step-by-step explanation:

12a - 7a

4b - 2b


Write an equation in slope-intercept form for the line with y-intercept 1 and slope 3/4

Answers

Answer:

Y=3/4x + 1

Step-by-step explanation:

Y intercept x=0

Therefore point(0,1) satisfies.

There fore constant c is 1

Answer:

y = [tex]\frac{3}{4}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{3}{4}[/tex] and c = 1 , then

y = [tex]\frac{3}{4}[/tex] x + 1 ← equation of line

hello help me with this question thanks in advance​

Answers

[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]

Answer 1 :-

A quadrilateral having two pair of parallel sides is Parallelogram

Trapezoid :- It is the quadrilateral whose all sides are non parallel to each other Parallelograms :- It is the quadrilateral having opposite sides parallel Kite :- It quadrilateral with no parallel Trapezium :- It is a quadrilateral having one pair of parallel sides.

Hence, Option b is correct

Answer 2 :-

The two consecutive angles of parallelogram are Supplementary.

Supplementary angles are those angles whose sum equal to 180°.The sum of two consecutive angles are parallelogram is 180° .

Hence, Option C is correct

Answer 3 :-

All squares are rectangle is true statement

All squares are rectangles because square having length and breath .All rhombus is rectangle is a false statement because all sides of rhombus are equal which is not in the case of rectangle All rectangles are squares is a false statement because all sides of square are equal whereas in rectangle only opposite sides are equal. Every parallelogram is a rhombus is false statement because rhombus has all four sides equal but parallelogram Only having opposite sides equal.

Hence, Option A is correct

Answer 4 :-

Rhombus is the quadrilateral has diagonals perpendicular to each other

The diagonals of rhombus bisect each other at 90° . It means the diagonals of rhombus are perpendicular to each other

Hence, Option B is correct

Jim is 4 years older than mark if the sum of their ages is 44 find the age of each person

Answers

Answer:

jim is 24 years old,  Mark is 20 years old

Step-by-step explanation:

This prompt can be set up using this equation:

Let's represent Mark's age by variable m and Jim's age by variable J.

j + m = 44

m + 4 = j

m = j - 4

j + (j - 4) = 44

2j - 4 = 44

2j = 48

j = 24

So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any further questions! Spread the love.

What is the best question to ask before reading the rest of the passage? A. Which study techniques have worked for you in the past? B. Which classes do you do need to study for the most? C. Which time of the day do you feel you learn the best?

Answers

Answer:

A

Step-by-step explanation:

The rest of the choices don't make sense.

Answer:

A

Step-by-step explanation:

A because you want to get a thought of what it is

Light travels about 180 million km in 10 minutes. How far does it travel in 1 minute? How far does it travel in 1 second? Explain your reasoning. (Don't forget about your whiteboard to show your work...ratio table? Put your link to your work in your answer.

Answers

Answer:

18 million kilometers in one min. and 0.3 million kilometers in one second

Step-by-step explanation:

so the one min. is easy because all you have to do is take 180 and divide it by 10 and you get 18 million kilometers in one min. and then you would take 18 and divide it by 60 and you would get 0.3 million kilometers in one second

What inequality describes the solutions of 2y < 8?
y ?
?

Answers

Answer:

45 I think

Step-by-step explanation:

I think that the answer to the question is 45 and I'm not very sure if if I can explain it to you because I don't know if it's right

A copy machine makes 36 copies per minute. How many does it make in 5 minutes and 15 seconds

Answers

Answer: 111.75 copies

Step-by-step explanation:

36 x 3 = 108

60/15 = 4

36/4 = 3.75

108 + 3.75 = 111.75

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