A ship is sailing east. at one​ point, the bearing of a submerged rock is 44 degrees 20 prime44°20′. after the ship has sailed 15.715.7 ​mi, the bearing of the rock has become 308 degrees 40 prime308°40′. find the distance of the ship from the rock at the latter point.

Answers

Answer 1
Let A be the position of the ship at which the rock is found at B, after travelling 15.7 miles the ship reaches point C, thus ABC forms a triangle that has the dimensions of
AC=15.7
and
∠x=BAC=90-44°20'=45°40'
∠y=∠BCA=360-270=90
∠ABC=180-∠x-∠y=44°20'
therefore using sine law 
BC/sin (44°40')=15.7/sin (45°20')
⇒BC=15.5184 miles

Related Questions

Help Please..

Arrange from smallest to largest

0.2 , 0.06, 0.602, 0.026, 0.21

Answers

0.026, 0.06, 0.21, 0.2, 0.602

a painter 1/3 of a house on Monday and 1/4 of the house on tuesday. how much of the house is left to be painted.

Answers

[tex]1 - \dfrac{1}{3} - \dfrac{1}{4} = \dfrac{12}{12} = \dfrac{4}{12} - \dfrac{3}{12} = \dfrac{5}{12}[/tex]

Answer: 5/12 of the house is left.

On a coordinate graph, points F (4,1), G (4,-1), H (-7,1) and J (-7,-1) are the vertices of a rectangle. What is the area of the rectangle?
PLEASE EXPLAIN HOW YOU GOT THE ANSWER!!!!

Answers

The sides of the rectangle are aligned with the coordinate axes, so the dimensions of the rectangle are easily determined to be 4 -(-7) = 11 units by 1 -(-1) = 2 units. As with any rectangle, the area is the product of length and width.

The area is 11*2 = 22 square units.

6. Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard. How much did Alice pay for the cloth if the sales tax was 5 percent? A. $5.79 B. $2.02 C. $6.08 D. $5.82

Answers

A: C. $6.08

$1.93 per yard x 3 yards = $5.79 before tax

5% sales tax means that there will be 0.05 added to the price of the product 

$5.79 x 1.05 = 6.0795 = $6.08

evaluate the following expressions 7/8 ×5/7 =

Answers

[tex]\dfrac{7}{8}\times\dfrac{5}{7}=\dfrac{\not7^1}{8}\times\dfrac{5}{\not7_1}=\dfrac{5}{8}[/tex]

What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3?

Answers

Since the value of can be determined by dividing the numerator of the original ratio, which is 5, by the sum of the numerator and denominator of the ratio:
(5+3)=8

Thus the value for  k = 5/8

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

We are asked to find the value of k used to determine the coordinates of a point that partitions a segment into a ratio of 5:3.

The value of k would be 5 divided by the sum of 5 and 3.

[tex]k=\frac{5}{3+5}[/tex]

[tex]k=\frac{5}{8}[/tex]

Therefore, the value of k is [tex]\frac{5}{8}[/tex].

THE FIRST ANSWER GETS A BRAINLIEST BUT THE ANSWER HAS TO BE RIGHT ALSO 20 POINTS
Kiah plotted the locations of her home and the city of Huntingdon on the number line shown. Williamsburg is the same distance from Kiah’s home as Huntingdon, but it is in the opposite direction. Which statement best describes how to find the location of Williamsburg on the number line?
A) The opposite of 6.75 is −6.75, so Williamsburg is at −6.75.
B) The sum of 6.75 and 6.75 is 13.5, so Williamsburg is at 13.5.
C) The numbers 6.75 and −6.75 are the same, so Williamsburg is at 6.75.
D) Opposites, such as 6.75 and −6.75, sum to zero, so Williamsburg is at 0.

Answers

The answer is A ok man?

Answer:

Answer is A plz mark me as branliest like u said

Step-by-step explanation:

Hey can you please help me posted picture of question

Answers

Two translations are made to the parent quadratic function

1) Horizontal shift to left by 2 units
This is expressed by adding 2 to x

2) Vertical shift downwards by 3 units.
This is expressed by subtracting 3 from function

So, we can write:

F(x) = G(x - 2) - 3

F(x) = (x - 2)² - 3

So, option D is the correct answer

Simplify the expression (a^2b^5c^3)^4(a^3b^3)^3(a^2c)^2

Answers

 i think that's the answer   a^21b^29c^14
The simplified expression is shown below:

[tex]( a^{2} b^{5} c^{3} )^{4} ( a^{3} b^{3} )^{3} ( a^{2} c )^{2} \\ \\ =( a^{8} b^{20} c^{12} )( a^{9} b^{9} )( a^{4} c^{2} ) \\ \\ = a^{(8+9+4)} b^{(20+9)} c^{(12+2)} \\ \\ = a^{21} b^{29} c^{14} [/tex]

A population of protozoa develops with a constant relative growth rate of 0.8877 per member per day. on day zero the population consists of six members. find the population size after five days. (round your answer to the nearest whole number.) p(5) = members

Answers

The exponential equation for the number of protozoa can be written as ...
  p(t) = 6×1.8877^t

The population size when t=5 is then
  p(5) = 6×1.8877^5 ≈ 144 . . . . members

Meryl needs to add enough water to 11 gallons of an 18% detergent solution to make a 12% detergent solution. Which equation can she use to find g, the number of gallons of water she should add?

Answers

A suitable equation will equate the quantity of detergent both before and after the water is added to the solution.

the amount of detergent in 11 gal of 18% solution is the same as the amount of detergent in the 12% solution (after g gallons of water are added)
  .18*11 = .12*(11+g)

Answer:

[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]

Step-by-step explanation:

Given,

Total quantity of solution = 11 gallons

Initial detergent in the solution = 18 % of 11 gallons

[tex]=\frac{18\times 11}{100}[/tex]

[tex]=\frac{198}{100}[/tex]

[tex]=1.98\text{ gallons}[/tex]

Now, here g represents the number of gallons of water she should add to make 12 % detergent solution,

Final quantity of solution = ( 11 + g ) gallons

Thus, we can write,

The part of detergent in (11+g) gallons of water = The final percentage of detergent

[tex]\frac{1.98}{11+g}=\frac{12}{100}[/tex]

Which is the required equation.

Which equation best presents the relationship between x and y in the graph?

Answers

5x and 7y. Keep up the good work

how can x2+3x+1=2x2+2x+3 be set up as a system of equations

Answers

For this case we can write the system of equations as two equations with two unknowns.
 We then define the following unknowns:
 incognitas: x and y.
 We write the system of equations:
 y = x2 + 3x + 1
 y = 2x2 + 2x + 3
 Answer:
 
y = x2 + 3x + 1
 
y = 2x2 + 2x + 3
Final answer:

The given equation can be converted into a system of equations by setting each side of the given equation to equal zero separately. The system of equations will then be x² - x + 2 = 0 and x² + 3x + 1 = 0.

Explanation:

The given equation, x²+3x+1=2x²+2x+3, can be set as a system of equations by getting each side of the equation to equal zero. Begin by subtracting the entire left-hand side of the equation from the right-hand side which gives us:

2x² + 2x + 3 - (x² + 3x + 1) = 0

This simplifies to x² - x + 2 = 0. That's your first equation.

Now, take the left-hand side of the original equation and set it equal to zero: x² + 3x + 1 = 0. That's your second equation. So the system of equations from the original equation are:

x² - x + 2 = 0 x² + 3x + 1 = 0

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log (x+4) -5 base 2 = 17
help please!!

Answers

[tex]\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \boxed{a^{log_a x}=x}\\\\ -------------------------------\\\\ log_2(x+4)-5=17\implies log_2(x+4)=22\implies 2^{log_2(x+4)}=2^{22} \\\\\\ x+4=2^{22}\implies x=2^{22}-4\implies x=4194300[/tex]

If angle A is complementary to angle B, and angle B is supplementary to angle C, what is the measurement of angle C if angle A is 21 degree...

Answers

C = 111 degrees

Since A and B are complementary they add to 90. So we know that B must be 69 degrees. 

Since B and C are supplementary they add to 180. So we know that C must be 111. 

If y varies inversely with x, and y= 2 when x= 8, what is k, the constant of proportionality?

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------\\\\ \textit{we also know that } \begin{cases} y=2\\ x=8 \end{cases}\implies 2=k8\implies \cfrac{2}{8}=k\implies \cfrac{1}{4}=k[/tex]

Assume that X has a normal distribution, and find the indicated probability. The mean is μ= 15.2 and the standard deviation is σ = 0.9. Find the probability that X is greater than 16.1.

Answers

Answer:0.1587

Step-by-step explanation:

z = (x-μ)/σ

mean, μ= 15.2

standard deviation, σ = 0.9

To find the probability that x is greater than 16.1,

x = 16.1

z = (16.1-15.2)/0.9

= 1

Looking at the normal distribution table, the area covered by 0 to 1

=0.8413

Therefore, the probability that x is greater than 16.1, = 11- probability that x = 16.1

= 1-0.8413

= 0.1587

if the quanity demanded of soda decreases by 5 percent when the price of soda rises by 100 percent what is the price elasticity of demand for soda

Answers

Price elasticity of demand is calculated as the ratio of change in demand to the ratio of change in price. So if the demand changes -5% when the price changes 100%, the PED = -5% / 100% = -0.05. Most good have a PED < 0, since demand typically decreases when the price is increased.

PLZ HELP ASAP CIRCLES

Answers

It is also 46 degrees.
46 degrees, because the angle is congruent to angle of A.

The price of an item has risen to $276 today. Yesterday it was $115. Find the percentage increase.

Answers

are you kidding me, bro? lol

276-115=131
131 divided by 276 = 0.47

0.47% increase
Final answer:

The student's question asked for finding the percentage increase in an item's price. This can be calculated by subtracting the initial price from the final price, dividing that difference by the initial price, and then multiplying the result by 100. In this case, the price of the item has increased by 140% from yesterday to today.

Explanation:

To find the percentage increase of the price of an item, we subtract the initial price from the final price, then divide that number by the initial price, finally multiply that result by 100 to obtain the percentage. In this case, the initial price of the item was $115, and the final price is $276.

Here's how the calculation works:

Subtract the initial price from the final price: $276 - $115 = $161. Divide the difference by the initial price: $161 / $115 ≈ 1.4. Multiply the result by 100 to get the percentage increase: 1.4 * 100 = 140%.

Therefore, the price of the item has increased by 140% from yesterday to today.

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hey can you please help me posted picture of question

Answers

The correct answer is option B.

Solution is shown below

[tex]y= 4 x^{3} \\ \\ \frac{y}{4} = x^{3} \\ \\ \sqrt[3]{\frac{y}{4}} =x \\ \\ f^{-1}(y)= \sqrt[3]{\frac{y}{4}} \\ \\ f^{-1}(x)= \sqrt[3]{\frac{x}{4}} \\ \\ y^{-1}= \sqrt[3]{\frac{x}{4}} [/tex]
The correct answer is B

You have 4 tickets to the movies and can take 3 of 4 friends--Mike, Tom, Eddie, and Chris. If chosen randomly, what is the probability that you will take Mike, Tom, and Chris?

Answers

Hello!

You have to find the probabilities of these happening

To pick Mike the first time is a 1 /4 chance

To pick Tom after Mike is a 1 / 3 chance since you picked mike

To pick Chris after Tom is a 1 / 2 chance since there are only two friends left

To find the probability of these happening in a row you multiply them

1/4 * 1/3 * 1/2 = 1/24

The answer is 1/24

Hope this helps!

Determine the number of x-intercepts that appear on a graph of each function. f (x) = (x + 2)(x - 1)[x - (4 + 3i )][x - (4 - 3i)]

Answers

f(x) has two real roots, -2 and +1. Those are the only x-intercepts.

f(x) has 2 x-intercepts.

Answer:

This function has two x-intercepts.

Step-by-step explanation:

The number of x-intercepts of a function is given by the number of REAL ROOTS of the function. A complex root does not intercept x.

In this function, we have

Two real roots: x = -2 and a x = 1

Two complex roots: x = -4 + 3i and x = -4 - 3i

So this function has two x-intercepts.

A neighbor needs to put up a square fence around her garden to keep the deer out. If the area is 500 square feet, how much fence does she need to buy, rounded to the nearest tenth of a foot? Show your work.

Answers

Area of a square = length * width

And since it’s a square the length and width is the same amount

So width=length=L
500 ft^2=L*L=L^2

Square root both sides
Sqrt(500 ft^2) =L= 22.36067977

The neighbor needs to buy approximately 89.6 feet of fencing to surround her 500 square feet garden, which is a square. This is calculated by taking the square root of the area to find the length of one side and then multiplying by four to get the perimeter.

To determine how much fence the neighbor needs to buy to surround her square garden, we need to calculate the perimeter of the square. The area of a square is given by the formula Area = side × side or Area = side². Since the area is 500 square feet, we first find the length of one side of the square by taking the square root of the area:

Side = √Area = √500 ft²

The square root of 500 is approximately 22.4 feet. Now, we calculate the perimeter, which is the sum of all four sides of the square:

Perimeter = 4 × side = 4 × 22.4 ft = 89.6 ft

Rounded to the nearest tenth of a foot, the neighbor needs to buy approximately 89.6 feet of fencing to surround her garden.

Which stem-and-leaf plot represents the data? 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, a stem value of 2, a stem value of 3 with a leaf value of 0, and a stem value of 4 with a leaf value of 8, 8, 8. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15 A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, a stem value of 2 with a leaf value of 9, a stem value of 3 with a leaf value of 0, a stem value of 4 with a leaf value of 8, 8, 8, a stem value of 5, and a stem value of 6 with a leaf value of 3. Key: 1|5 means 15

Answers

The stem and leaf plot that would be created would be the last choice.

Here is the data in order and the Stem and Leaf plot created:

15, 15, 15, 16, 16, 29, 30, 48, 48, 48, 63

Stem|Leaf
     1 | 5 5 5 6 6 
     2 | 9
     3 | 0
     4 | 8 8 8
     5 |
     6 | 3

Key:1|5 = 15

Options: A

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 5, 5, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5A stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Options: B

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 6, A stem value of 2, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8.

Key: 1|5 means 15

Options: C

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, A stem value of 5, and a stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Options: D

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Answer:

Options: D

A stem-and-leaf plot with a stem value of 1 with a leaf value of 5, 5, 5, 6, 6, A stem value of 2 with a leaf value of 9, A stem value of 3 with a leaf value of 0, A stem value of 4 with a leaf value of 8, 8, 8, A stem value of 5A stem value of 6 with a leaf value of 3.

Key: 1|5 means 15

Step-by-step explanation:

Given: 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48

To plot a stem and leaf plot, first rearrange the observations in ascending order: 15, 15, 15, 16, 16, 29, 30, 48, 48, 48 , 63

Next, is to get the range of values

Low: 15

High = 63

Next, is to identify the stems

Using the range of 15 to 63, we need stems of 1, 2, 3, 4, 5 and 6

In tabular form, the stems are:

Stems ||

1  ||

2  ||

3  ||

4  ||

5  ||

6 ||

Next, is to fill in the leafs

Stem || Leaf

1 || 5 5 5 6 6

2 || 9

3 || 0

4 || 8 8 8

5 ||

6 || 3

Lastly, we write out our observations

1. The stem Value 1 has leaf values 5,5,5,6,6

2. The stem Value 2 has a leaf value 9

3. The stem Value 3 has a leaf value 0

4. The stem Value 4 has leaf Values 8,8,8

5. The stem Value 5 has no leaf

6. The stem Value 6 has leaf value 3

Comparing the observation with the options, option D represents the stem-and-leaf plot representation of 15, 16, 15, 48, 48, 63, 15, 29, 16, 30, 48  

julia weny to the clothing store. she had exactly $100 that she could spend.she bought 3 shirts for $29.57 each including tax. each pair of socks cost 8.95,including tax. which inequality could be used to find s, the number of pairs of socks she cpuld buy?

Answers

Hi there!

We need to add the total together, including the socks and the total needs to be less than or equal to 100. The inequality we would use is 3(29.57) + 8.95s <= 100 | 88.71 + 8.95s <= 100.

Hope this helps!! :)
If there's anything else that I can help you with, please let me know!

Find the greatest common divisor of 100 and 254, using • prime factorization- • euclidean algorithm-

Answers

Via prime factorization:

[tex]100=10^2=2^2\cdot5^2[/tex]
[tex]254=2\cdot127[/tex]

of which the only common factor is a single power of 2, so [tex]\mathrm{gcd}(100,254)=2[/tex].

Via the Euclidean algorithm:

[tex]254=2\cdot100+54[/tex]
[tex]100=1\cdot54+46[/tex]
[tex]54=1\cdot46+8[/tex]
[tex]46=5\cdot8+6[/tex]
[tex]8=1\cdot6+2[/tex]
[tex]6=3\cdot2+0[/tex]

which means [tex]\mathrm{gcd}(100,254)=2[/tex], as expected.
Final answer:

The Greatest Common Divisor (GCD) of 100 and 254 can be found using Prime Factorization and the Euclidean Algorithm. Both methods produce a GCD of 2.

Explanation:

The student is asking for how to find the Greatest Common Divisor (GCD) of 100 and 254 using two different methods: Prime Factorization and the Euclidean Algorithm.

Prime Factorization: Start by writing down each number's prime factors. The prime factors for 100 are 2, 2, 5, 5 and the prime factors for 254 are 2, 127. The GCD is the product of the smallest power of each common prime number. In this case, the only common prime number is 2, so the GCD by prime factorization is 2.Euclidean Algorithm: This method begins with the larger number (254) and divides it by the smaller one (100). Write down the remainder (54). Then, divide the smaller number (100) by the remainder from the last step (54) to get a new remainder (46). The process is repeated until there is no remainder. The last non-zero remainder serves as the GCD. In this case, the process would continue as follows: 54 divided by 46 equals 1 remainder 8, then 46 divided by 8 equals 5 remainder 6, then 8 divided by 6 equals 1 remainder 2, then 6 divided by 2 equals 3, no remainder. Therefore, the GCD by Euclidean Algorithm is also 2.

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what ia -3x - 14 = 4

Answers

-3x - 14 = 4 
-3x - 14 + 14 = 4 + 14 (Added 14 on both sides, -14 cancels out)
-3x = 18 (Divide 18 by -3x)
x = -6
Arrange to have all the numbers on one side of the equation, all the letters on the other.

-3x - 14 = 4  Add 14 to both sides.
-3x - 14 + 14 =4 + 14
-3x = 18 [4 + 14 = 18] Now divide by - 3
-3x/-3 = 18/-3
x = -6 <<<< answer
An odd number of minus's when you multiply or divide, leaves you with a minus. In this question, there is one minus  on the right. Therefore the answer to division will be minus. You should always leave the variable (a letter) as plus.

PLZ HELP ASAP INSCRIBED QUADRILATERALS

Answers

Opposite angles of an inscribed quadrilateral are supplementary, that is, they add up to 180 degrees. For this quadrilateral, Q + A = 180, and similarly, U + D = 180. Since we are given U = 106, therefore:
106 + D = 180
D = 74 degrees.

hey can you please help me posted picture of question

Answers

Selecting this function: F(x)= x^4-x^2+3

Graph using these selected points:
Rises to the left and rises to the right
x            y
-1          3
0           3
1           3
2           15
3           75


After assigning values for x and y, plot the graph:
See attached picture for the graph.

We can now conclude that for the given graph, the equation of F(x) is equal to x^4-x^2+3 which is letter D. F(x)= x^4-x^2+3
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