xand y are light house. y being 20km due east of x and from a ship due south of x the bearing of y was 055°. what is the distance of the ship from y and the distance of the ship from x?​

Answers

Answer 1

Answer:

I) |xz| ≈ 28.6 km

II) |yz| ≈ 34.8 km

Step-by-step explanation:

Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)

|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°

Using Trigonometric ratio - SOHCAHTOA

I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20

|xz| = 20 * Tan 55 = 20 * 1.428

|xz| = 28.56 km

|xz| ≈ 28.6 km

II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|

|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°

|yz| = 20 ÷ 0.574 = 34.84 km

|yz| ≈ 34.8 km

Xand Y Are Light House. Y Being 20km Due East Of X And From A Ship Due South Of X The Bearing Of Y Was

Related Questions

CAN SOMEONE HELP ME PLEASE ASAP!?

CAN SOMEONE HELP ME PLEASE ASAP!?

Answers

Answer: 56.2

Step-by-step explanation:

hope this is the right answer :)

Rotate the given triangle
90°clockwise about the origin.
HELP PLEASE I NEED THIS

Rotate the given triangle90clockwise about the origin.HELP PLEASE I NEED THIS

Answers

well first step is to plot the numbers onto a triangle.

Answer:

0,1,2

0,-3,-5

Step-by-step explanation:

how to write 7/10 into percent

Answers

Answer:

Convert fraction (ratio) 7 / 10 Answer: 70%

Answer:

70%

Step-by-step explanation:

To find percentage = fraction * 100

                                = 7/10 * 100

                                = 0.7 * 100

                                = 70%

                             

Which statement correctly compares the areas of these two rectangles?

Which statement correctly compares the areas of these two rectangles?

Answers

A statement that correctly compares the areas of these two rectangles is that the area of the yellow rectangle is greater than the area of the blue rectangle by 8 square units.

How to calculate the area of a rectangle?

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.

Based on the information provided about these rectangles, we have the following:

Area of blue rectangle = 10 × 4

Area of blue rectangle = 40 square units.

Area of yellow rectangle = 6 × 8

Area of yellow rectangle = 48 square units.

Difference = Area of yellow rectangle - Area of blue rectangle

Difference = 48 - 40

Difference = 8 square units.

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1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7​

1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7

Answers

The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

Equation of a line

The equation of a line in slope-intercept form is expressed as;

y = mx + b

where;

m is the slope

b is the y-intercept

For two lines to be perpendicular, the product of their slope must be -1

Given the equation 2x - y =7​

Rewrite

y = 2x - 7

The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6

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Barry opens a savings account after seeing the ad. He deposits $1,300.

Determine an equation that relates the amount of time t in years that Barry holds his account to the amount of interest I that he earns.

Enter the correct answer in the box.

Answers

The question is an illustration of simple interest.

The equation that relates Barry's savings after t years is; \(f(t)=1300 + 28.6t\)

The given parameters are:

\(P = 1300\) --- the amount deposited

\(r = 2.2\%\) --- annual interest

So, the interest is calculated using:

\(I = PRT\)

This gives

\(I = 1300 \times 2.2\% \times t\)

\(I = 28.6 \times t\)

\(I = 28.6t\)

So, the equation that relates Barry's savings after t years is;

\(f(t)=P + I\) --- i.e. the amount deposited plus the interest

This gives

\(f(t)=1300 + 28.6t\)

Hence, the required equation is: \(f(t)=1300 + 28.6t\)

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I'm stuck on this question for math in middle school, so I can't help

define a positive integer n to be a factorial tail if there is some positive integer m such that the base-ten representation of m ! ends with exactly n zeros. how many positive integers less than 1992 are not factorial tails?

Answers

The number of positive integers which are less than 1992 and  not factorial tails  are 396.

Positive integer are defined as the all the integers greater then zero.There are positive integers, zero, and negative integers.

Let for some positive integer with exactly n zeros be m

Number at the end of zeros of m! be f(m)

f(m) = ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) + ....

Here 'm' is multiple of 5

So ,f(m) = f( m + 1) = f( m + 2) = f( m + 3 ) = f( m + 4 )

And f(m) ≤ ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) +...

              = m / 4.03

              = m / 4

Value of m greater than 7964 such that f(m) = 1991

f( 7975 ) = 1991

Number of distinct positive integer 7975 / 5 = 1595 less than 1992

Number of positive integers less than 1992 and they are not factorial tails  are equal to

= 1991 - 1595

= 396.

Therefore, there are 396 positive integers which are less than 1992 and  are not factorial tails.

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How
do I show significant difference using superscript between these
values? (anova single factor test)

Answers

Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.

In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.

Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.

The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.

By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.

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Find the surface area of the composite solid. Write your answer as a decimal.

Find the surface area of the composite solid. Write your answer as a decimal.

Answers

Answer:

283.5 cm squared

Step-by-step explanation:

The surface area of a solid is basically just the sum of the areas of all the exterior sides. In this figure, we have 3 congruent triangles at the top, 3 congruent rectangles on the sides, and 1 triangle at the base. We need to find all these areas.

3 congruent triangles:

The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.

Here, the base of one triangle is 10 and the height is 4. So:

A = (1/2) * b * h

A = (1/2) * 10 * 4 = 20

Since there are 3 such triangles, multiply 20 by 3:

20 * 3 = 60 cm squared

3 congruent rectangles:

The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.

Here, the length is 6 and the width is 10, so:

A = lw

A = 6 * 10 = 60

There are 3 such rectangles, so multiply 60 by 3:

60 * 3 = 180 cm squared

1 base triangle:

Again we use the formula A = (1/2) * b * h for this area.

Here, the base is 10 and the height is 8.7, so:

A = (1/2) * b * h

A = (1/2) * 10 * 8.7 = 43.5 cm squared

Add all these together:

60 + 180 + 43.5 = 283.5 cm squared

The answer is thus 283.5 cm squared.

Answer:

283.5 cm²

Step-by-step explanation:

3 rectangles + 3 triangles on top + triangular base

3(10×6) + 3(½×10×4) + (½×10×8.7)

180 + 60 × 43.5

283.5 cm²

What is the constant in the expression 6a+2b+5?

Answers

Answer:

The answer would be 5.

Step-by-step explanation:

Tthe other terms have a number being multiplied by a variable.

Pleaseeee , I’ll give you Brainlest:)

Pleaseeee , Ill give you Brainlest:)

Answers

Answer:

30 days

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

10^12=1000000000000

1000000000000/24=4.66666666_

that means 4 and a half days but put in 4.5.(I didn't feel like putting the rest of the work i forgot, its 30

if you cant see let me know.​

if you cant see let me know.

Answers

Answer:

Photo is blurred not be able to seee

is -(-3/2) equivalent to -3/2

Answers

Answer:

no it's equal to 3/2 because 2 negatives equal a positive number

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

No, it's not equivalent

Step-by-step explanation:

\(-(\frac{3}{2} ) = 1\frac{1}{2\\}\)

\(-\frac{3}{2} = -1\frac{1}{2}\)

if (x) = 4X-8 and g(x) = 5x + 6, find (f-g)(x). O A. (f- g)(x) = - 4x + 5x + 14 O B. (f- g)(x) = 4% - 5x - 14 O C. (f- g)(x) = -x - 14 0 D. (f- g)(x) = 4x + 5x - 2

Answers

(f-g)(x) = -x - 14 (option C)

Explanation:

f (x) = 4x - 8

g(x) = 5x + 6

(f-g)(x) means f(x) - g(x)

f(x) - g(x) = 4x - 8 - (5x + 6)

open the parnethesis:

Note: Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.

4x - 8 - (5x + 6) = 4x - 8 - 5x - 6

collect like terms:

f(x) - g(x)= 4x - 5x -8 - 6

f(x) - g(x) = -x - 14

(f-g)(x) = -x - 14 (option C)

if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be

Answers

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Find the difference!

Find the difference!

Answers

Answer:

2x + 10

_______

x^3 - 4x

Step-by-step explanation:

this is the answer

I need to find x. if m

I need to find x. if m

Answers

Given:-

\(\angle BCD=51\)

To find the value of x.

Since the corresponding opposite angles are equal and also the sum of angles inside a triangle is 180 degrees. we get,

\(\begin{gathered} 14x+4+55+51=180 \\ 14x+110=180 \\ 14x=180-110 \\ 14x=70 \\ x=\frac{70}{14} \\ x=5 \end{gathered}\)

So the required value of x is 5.

If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?

Answers

The price we have to pay for the disc after 10% discount is 1467 dollars.

What is percentage ?

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

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I need help plz! plz don't just do this for the points!

See image below!

I need help plz! plz don't just do this for the points!See image below!

Answers

The answer is c) pls mark me as the Brainliest

Answer:

6 1/10

Step-by-step explanation:

You multiply the left fraction by 5 and the right by 2 so the denominators come out equally as 10 which makes your new fractions, 4 5/10 and 1 6/10 then add them together and it would be 5 11/10 and you break it down so it’s 6 with 1 left over making it 6 1/10

8. Set up the artificial variable LP (Phase I LP) and specify the EBV and the LBV. DO not perform a complete pivot (complete with the exchange of basic variables). ( 16pts ) MaxZ=4x
1

+7x
2

+x
3

s.t.
2x
1

+3x
2

+x
3

=20
3x
1

+4x
2

+x
3

≤40
8x
1

+5x
2

+2x
3

≥70
x
1

,x
2

≥0


Answers

To set up the artificial variable LP (Phase I LP) for the given problem, we introduce an artificial variable, LP, to the objective function with a coefficient of 1. The artificial variable is used to identify infeasible solutions.

To set up the artificial variable LP (Phase I LP), we modify the objective function as follows:

Maximize Z = 4x1 + 7x2 + x3 + LP

The artificial variable LP is introduced to the objective function with a coefficient of 1. This allows us to track its value during the iterations.

The initial constraints remain the same:

2x1 + 3x2 + x3 = 20

3x1 + 4x2 + x3 + x4 = 40

8x1 + 5x2 + 2x3 - x5 = 70

The initial basic variables (BV) are the slack variables corresponding to the equality and inequality constraints, namely, x3 and x4. The artificial variable LP is initially a non-basic variable.

The initial artificial variables' basic variable (BVB) values are set to the right-hand side values of the constraints:

x3 = 20

x4 = 40

The initial artificial variable LP's value is set to 0.

Next, the artificial variable LP is selected as the entering variable, as it has a positive coefficient in the objective function. To determine the leaving variable, we perform the ratio test using the ratios of the right-hand side values and the entering column values (coefficients of LP) for the respective constraints.

The leaving variable is determined based on the minimum ratio, ensuring that the corresponding row represents a valid pivot element. If no valid pivot element is found, the problem is infeasible.

This completes the setup of the artificial variable LP (Phase I LP) without performing a complete pivot. Further steps would involve applying the simplex method and iteratively pivoting to find the optimal solution or identify infeasibility.

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Which of the following ordered pairs is a solution to the equation 2x+6y=6? Select all that apply.
elect all that apply:

(−6,3)
(10,4)
(−3,2)
(12,12)
(−3,−4)

Answers

im pretty sure its -6 and 3

.help ill grive brainlest​

.help ill grive brainlest

Answers

Answer:

p and r im not sure

Step-by-step explanation:

What is the solution set to F(x)=x4+2? Using small values, form a list of ordered pairs.
Include all of your work in your final answer. Submit your solution.

What is the solution set to F(x)=x4+2? Using small values, form a list of ordered pairs.Include all of

Answers

Answer:

If you don't agree or there's an error, let me know so I can edit.

Step-by-step explanation:

f(x) = x⁴ + 2

differentiate

f(x) = 4x³ + 0 =0

x(4x²) = 0

at x= 0 f(x) = 0 points = (0,0)

at x= 1. f(x) = 3 points = (4,3)......

The ordered pair is (4,3).

What is ordered pair?

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given:

f(x) = x⁴ + 2

Now, differentiate the above function for the small values

f(x) = 4x³ + 0 =0

x(4x²) = 0

When x= 0

f(x) = 0

So, the points = (0,0)

when x= 1

f(x) = 3

so, the points = (4,3).

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A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT

Answers

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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a new printing press can print newspapers twice as fast as the old one can. the old one can print the afternoon edition in 4 hours. find how long it takes to print the afternoon edition if both printers are operating.

Answers

The speed of both printers operating together is 1.333 hours which was found using the given data.

What is distance, time and speed?

The formula used to explain the connection between speed, distance, and time is speed = distance/time.

Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.

Let,

a = Speed of New printing press

b = Speed of Old printing press

x = Speed of both printers operating together

We know that,

(1/a)+(1/b)=(1/x)

(1/2)+(1/4)=(1/x)

(4/8)+(2/8)=(1/x)

6/8=1/x

x=8/6

x=1.333

Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.

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50 points if you answer correctly

50 points if you answer correctly
50 points if you answer correctly
50 points if you answer correctly
50 points if you answer correctly
50 points if you answer correctly

Answers

Answer:

\(f(3) = {3}^{2} + 5(3) - 9 \\ f(3) = 9 + 15 - 9 \\ f(3) = 15\)

Answer:

1. D. 15

2. A. 3

3. A. c= 6g+5

4. A. All real numbers

5. D

                                         

                                     

(6.-1);y=-5x+3
slope intercept form

Answers

Answer:

y = x + 4 y= x − 8 25 x + y =

3

Step-by-step explanation:

Fwd:The hardware store is having a 15% off sale on lawn mowers this weekend. If x is the original price of a lawn mower, what will be the final sales price, excluding tax? Select two that apply. (0.15 + x) , x - 0.15 , 0.15x, (x - 0.15x) , x(1.00 - 0.15)

Answers

Answer:

(x - 0.15x) and x(1.00 - 0.15)

Step-by-step explanation:

Let x be the original price of a lawn mower,

If the hardware store is having a 15% off sale on lawn mowers this weekend, the amount discounted is expressed as;

= 15 % of x

= 0.15 of x

= 0.15x

Final sales price = Original price - discounted price;

Final sales price = x - 0.15x

Factor out x;

x - 0.15x = x(1 - 0.15)

Hence the correct equations are (x - 0.15x)  and x(1.00 - 0.15)

Given: AB = 4 AD = 6 What is the name of the radius of the larger circle? AD AB A

Answers

Given: AB = 4 AD = 6 What is the name of the radius of the larger circle? AD AB A
Answer: AD

Use the rule of inference to obtain conclusion from the each of the set of premises
"If I play hockey, then I am sore the next day."
"I use the whirlpool if I am sore."
"I did not use the whirlpool."

Answers

The given set of premises can be used to obtain a conclusion using the rule of inference called Modus Tollens. Modus Tollens is a valid argument form that uses the premise of a conditional statement and its negation to reach a valid conclusion. The argument form is as follows:

If P then Q.
Not Q.
Therefore, not P.

Using Modus Tollens, we can write the argument as follows:

If I play hockey, then I am sore the next day.
I did not use the whirlpool.
Therefore, I did not play hockey.

The conclusion obtained from the given set of premises is that the person did not play hockey. This is because the person did not use the whirlpool, which is a condition that follows from being sore after playing hockey. If the person did not use the whirlpool, it means that they were not sore, which implies that they did not play hockey.

In summary, using the rule of inference called Modus Tollens, we can conclude that the person did not play hockey based on the given premises.

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a first-line manager for a large electric generator manufacturer would: Consider the various web frameworks that you learned about in this unit. Which one do you think you would most like to work with? Why? A) Leaf is simple (one leaf on the petiole)..................Go to B Leaf is compound (multiple leaves on petiole).........Go to C B) Leaf is lobed......................................................Go to D Leaf is simple and not lobed.................................Go to E C) Leaves have rounded tips.....................................Mimosa Leaves have pointed tips......................................Go to F D) Lobes are pointed at tips................................Scarlet oak Lobes are rounded at tips.................................White oak E) Leaf veins are pronounced........................American beech Leaf veins are barely visible...........................Black cherry F) There are 9 smaller leaves on the petiole...Bitternut hickory There are 7 smaller leaves on the petiole...........Green ash Use the dichotomous key to identify the leaf pictured above. A) Mimosa B) White oak C) Scarlet oak D) American beech Samantha is making lemonade for her friends. The recipe makes 2 quarts of lemonade. Samantha says that 2 quarts will make 4 cups of lemonade, just enough for each of her friends to have one cup. Is she correct? Justify your thinking. brainliest will be given to the first one who answers correctly please answer asap! Determine whether each of the following series is convergent or divergent Indicate which test is used and state your conclusion clearly If conditions need to be met, be sure to include the work where you check or verify the conditions n-1 2^n/3^n -1 Pls help me figure it out escribe the differences between the terrestrial and jovian planets and classify each of the 8 planets to the proper type Write a body paragraph of 50 to 75 words for your essay. Be sure to use examples from both poems to support your thesis. Understanding poetry tutorial Find the distance between the points (1,2) and (10,-10) round decimal to nearest tenth Please help me this question PLEASE ANSWER QUICK!!!!!Determine whether the question applied MOST to Italy or Germany between World War I and II or to both.GermanyBothItalyBenito Il Duce Mussolini and his Blackshirts justified overthrowing the government to protect it from communism.After release from prison, Adolph Hitler took over the government by gaining a majority in the Reichstag.The devastation of World War I made it easy for the nation to come under the rule of a dictator. If a distance versus time graph is flat, what does that say about the velocity at that time? why is computer economics important? how long does a licensee have to notify the superintendent of a change of address Mama once referred to their apartment as a "rat trap." What did she mean by that? ito ang nakakaapekto sa dami ng produkto o serbisyong kayang ipagbili ng mga prodyuser Problem Frequency A. Topping is stuck to box lid B. Pizza arrives late C. Wrong topping or combination D. Wrong style of crust E. Wrong size F. Pizza is partially eaten G. Pizza never arrives Answer This Question. In the _________________________were the absorption of nutrients takes place, the enzyme ___________________hydrolyses ___________________ into _________________________A. small intestine -lipase-lipid-fatty acid and glycerolB. mouth-salivary amylase-lipid-amino acidC. small intestine-lipase-protein-amino acid John attends a work reception held at a restaurant. Thebartender notices John taking many drinks from the trays beingcarried around. When John knocks over a tray of drinks, therestaurant's manager