A fierce guard dog is tethered by a 15 m chain to a post that is 6 m from a straight path. For what distance along the path is a trespasser in danger from the dog?​

Answers

Answer 1

The distance from the road where an intruder would be in danger is 27.48 m.

To know how far from the road an intruder is in danger due to the dog, it is necessary to carry out the following procedure:

Establish the range of the dog with a circle of 15 meters in radius around the post on which he is tied.

In this part it can be inferred that a part of the path is in the range of the dog between points B and D (In this area the intruder would be in danger)

From this we know the following data:

Length AB = 15mLength AD = 15mLength AC = 6m

To know the length of points BC and CD we must perform a calculation using the formula of the Pythagorean theorem.

BC = [tex]\sqrt{15^{2} - 6^{2} }[/tex]BC = [tex]\sqrt{225-36}[/tex]BC = [tex]\sqrt{189}[/tex]BC = 13,74 m

Later we use the same procedure to find the length CD.

CD = [tex]\sqrt{15^{2} - 6^{2} }[/tex]CD = [tex]\sqrt{225-36}[/tex]CD = [tex]\sqrt{189}[/tex]CD = 13,74 m

Finally, we add both lengths (BC + CD) to know the distance in which an intruder is in danger within the dog's range.

BC + CD = BD = 27,48 m

Learn more in: https://brainly.com/question/14930619

A Fierce Guard Dog Is Tethered By A 15 M Chain To A Post That Is 6 M From A Straight Path. For What Distance

Related Questions

Three times a number increased by 44 is the same as the opposite of the number. Find the number

Answers

Answer:

- 11

Step-by-step explanation:

let the number be n then 3 times the number is 3n and the opposite is - n

3n + 44 = - n ( add n to both sides )

4n + 44 = 0 ( subtract 44 from both sides )

4n = - 44 ( divide both sides by 4 )

n = - 11

The required number is - 11

Sample Question...........4x + 5x=

Answers

Answer:

4x+5x=0

sample question

or it can be a quadratic equation

4x^2+5x=0

solved

Which number represents the ratio comparing the average age in groupB to group A if the average age of A=50 years old and B=65 years old?

Answers

3.5% difference change with the velocity of a building moving at those speeds would be great mass containment. Yeah I don’t know bud

15. Solve the compound inequality.
3x - 4 >5 or 1 - 2x 7
A X<-3 or x > 3
B x < -3 or x > 3
CX-3 or x <3
D x>-3 or x < 3

Answers

hope you like my answer its Letter D

How can I solve 8.5 x (-4)?​

Answers

Answer:

-34

Step-by-step explanation:

you would first solve it like a normal equation and ignore the negative;

0.5 * 4 is 2

8 * 4 is 32

32 + 2 = 34

and then you would add the negative sign- because there is only one side with a negative sign, it is negative

if the equation had both sides had a negative, it would be positive

Làm tính Nhân:
(x² - 2x + 1)(x- 1)=

Answers

Step-by-step explanation:

(x² - 2x + 1)(x- 1)=

(x+1)^2(x-1)

Answer:  x³ - 3² + 3x - 1

Step-by-step explanation:

(x² - 2x + 1)(x- 1) = x³ - 2x² + x - x² +  2x - 1

                         = x³ - 3² + 3x - 1

error error error error

Answers

Answer:

I really like helping people so can you take this app more seriously ..?

Step-by-step explanation:

help please help help ​

Answers

Answer:

the 3rd one i think

Step-by-step explanation:

Answer:

The second one

1/m8

Find the x and y intercepts of this function.

h(x) = 2x^2 - 3x - 2

Please help me

Answers

Answer:

The x-intercepts: (-0.5, 0) and (2, 0)

The y-intercept: (0, -2)

Multiply the binomials: (y+2)•(y-6)

Answers

Answer:

(y+2)•(y-6)

Step-by-step explanation:

y(y-6)+2(y-6)

y^2-6y+2y-12

y^2-4y-12

true or false? the graph is decreasing when x<-2 and increasing x>-2

Answers

Tru the answer is truw

The owner of an organic food store would like to analyze the sales data to determine if the business is growing, declining or remaining flat. The owner has the following data: Sales Revenue Last Year = $350,000 // Sales Revenue Current Year = $402,000. What is the sales growth? Question 3 options: 10% 17% 13% 15%

Answers

The percentage sales growth recorded by the food store is 15%

Given the Parameters :

Last year revenue = $350,000

Current year revenue = $402,000

The growth sales can be obtained using the relation :

Change in revenue / Last year revenue) × 100%

Change in revenue = Current year - Last year

Change in revenue = $402,200 - $350,000 = $52,200

Hence, percentage sales growth :

(52,200 / 350,000) × 100% = 14.914 %

Therefore, the percentage sales growth is 15%.

Learn more :https://brainly.com/question/13218948

Answer: 15%

Step-by-step explanation:

How do I solve this. Plz do step by step explanation so I can solve these kind of problems in the future. Thanks


Find the values of x and y that maximize or minimize the objective function for each graph.


And Plz don't make me download any thing.

Answers

Answer:

very hard

this is a really hard problem but ignore the graph and pay attention to the numbers

Step-by-step explanation:

Prove the following relations:
1) (1 - cos²A) (1 + tan²A) = tan²A​

Answers

Step-by-step explanation:

(1 - cos²A) (1 + tan²A) = tan²A

(sin²A)(sec²A) = tan²A

(sin²A)(1/cos²A) = tan²A

(sin²A)/(cos²A) = tan²A

tan²A = tan²A → Proved

Step-by-step explanation:

So, this way we can do. Thank you!

HELP RIGHT NOW
(covered ones aren’t important)


Base: $38,000; Fee: $2 per application; Applications: 800

Answers

Answer:

ikaw Mag answer nyan

Step-by-step explanation:

bubu

Answer:

39,600

Step-by-step explanation:

38,000 +(2x)

X=800

38000+(2•800)

38000+1600

39600

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

Median. Explanation to each part below.

Step-by-step explanation:

a) Starting with calculating the mean, which is all the values added divided by the number of values (in this case he has 6 scores total).

[tex]mean/average=\frac{81+87+93+89+61+81}{6} =\frac{492}{6} = 82[/tex]

b) To find the median, arrange all the test scores in increasing order and find the middle/median value. We have 6 scores, so we will have 2 middle scores. If we had 7 scores, we would find only 1 score in the middle which would be the median. We will have to find the average of the two scores.

[tex]61,81,81,87,89,93[/tex]

The middle values will be 81 and 87 so find the average of those 2 scores.

[tex]Median: \frac{81+87}{2} =\frac{168}{2} =84[/tex]

c) The mode is the score which occurs the most. In this case, Jack has 2 scores that are 81, which is his mode.

d) The measure that would make his performance sound good would be the median. The mode and mean are below the score of 84 that he gets for the median. He would want to flaunt this measure to show he performs well.

What is
[tex] {4}^{ - 3}[/tex]
as a fraction?​

Answers

Step-by-step explanation:

[tex] {4}^{ - 3} [/tex]

[tex] = ( \frac{1}{4} )^{3} [/tex]

1/4^3 or 1/64

I have double check this

Help please! I need help with my math question!

Answers

Answer:

cc

Step-by-step explanation:

Let f(x) = x^2 and g(x) = x-6. find (f o g)(-3). please help.

Answers

Answer:

81

Step-by-step explanation:

f o g = f(g(x))

Step 1. Solve for g(-3)

-3 - 6 = -9

Step 2. Solve for f(-9)

-9^2 = 81

help me due in 15 minutes! - giving brainly if correct and WORK IS SHOWN
please answer both if possible!​

Answers

Answer:

both questions are same i think

look at the photo i have sent

50 points
Select all values that make the equation true.

2(x−8)=x+5x

Answers

Answer:

x= -4

Step-by-step explanation:

Simplify each expression using the properties of powers. Express your answers using only positive exponents.

Answers

Answer:

[tex] \frac{ {( - 3)}^{7} {(11)}^{9} {(13)}^{ - 3} }{ {( - 3)}^{5}(11) {(13)}^{ - 3} } \\ \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} {(13)}^{ - 3} }{ {(13)}^{ - 3} } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{ {(13)}^{3}( \frac{1}{ {(13)}^{3} }) } \\ \\ \\ \frac{ {( - 3)}^{2} {(11)}^{8} }{1} \\ \\ \\ = {( - 3)}^{2} {(11)}^{8} [/tex]

I hope I helped you^_^

Stock in boomer branding inc started the week at $26.50 per share during the week the following changes in the share price were registered

Answers

Answer:33333333333333333333333333333333333

Step-by-step explanation: This isnt the answer i need points

The larger of two consecutive integers is 13 greater than four times the smaller. Find the integers. -3, -4 7, 8 3, 4

Answers

Answer:

The integers are -3 and -4.

Step-by-step explanation:

Two consecutive integers are an integer and the one just greater or just less than the4 first one, such as 5 and 6, or -8 and -9.

If the smaller integer is x, then the next greater integer is x + 1.

x + 1 = 4x + 13

-3x = 12

x = -4

x + 1 = -3

Answer: The integers are -3 and -4.

Check:

Smaller integer: -4

Larger integer: -3

4 times smaller integer = 4 * (-4) = -16

13 greater than 4 times smaller = -16 + 13 = -3 = greater integer

-3 and -4 is the correct answer.

Answer:

-3 and -4

They are indeed correct.

Which of the following is the Cube for 5?

A)5

B)15

C)25

D)125

Help pls

Answers

The correct answer is D: 125

The cubed of 5 is the same as: 5•5•5
When you multiply 5•5 = 25
And when you multiply 25 • 5 = 125

Please help me find the answer to the question mark

Answers

Answer:

48 (my sis did this)

correct option: 137

mark me brainleast:)

Step-by-step explanation:

137
That’s the answer

7(5+2)=7×5+7×2 which law is that?

Answers

[tex]\huge\text{Hey there!}}[/tex]

[tex]\large\text{The law this is apart of the \boxed{\textsf{\bf distributive property}} because it multiplied}}\\\large\text{7 within the parentheses on the RIGHT SIDE of the 2}\rm{^{nd}}\large\text{ equation}[/tex]

[tex]\huge\textsf{Equation \#1}\\\large\textsf{7(5 + 2)}\\\large\textsf{= 7(5) + 7(2)}\\\large\textsf{= 35 + 14}}\\\large\textsf{= 49}\\\\\huge\text{Equation \#2}\\\large\text{7}\times\large\text{5 + 7}\times\large\text{2}\\\large\text{= 35 + 14}}\\\large\text{= 49}\\\huge\boxed{\bullet \textsf{ Questions answer is: \underline{\underline{14}} because both equations}}\\\huge\boxed{\textsf{are equivalent to each other!}}\huge\checkmark[/tex]

[tex]\huge\boxed{\bullet\text{ Overall answer: \bf \underline{\underline{Distributive Property}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& \textsf{enjoy your day!}}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

SOMEONE PLEASE HELP THIS IS DUE RIGHT NOW I WILL MARK BRINLIEST
an isosceles triangle has at least ______ Congruent sides
A. 1
B. 2
C. 0

Answers

Answer:

i think it's B.2

Step-by-step explanation:

Because it has two sides equal or in this case two sides are the same

Answer:2.

Step-by-step explanation:congurent me as equal length

Evaluate the expression,
if x = 12, y = 8, and z = 3.
5y +
XIN

Answers

For me I got 44 as my answer

Answer:

5*8+12/3

=40+4

=44..........

Solve: 2x+1= 2X - 1

A) No Solution

B) x = 0

C) Infinitely Many Solutions

Answers

Answer:

A) No Solution

Step-by-step explanation:

2x+1=2x-12x-2x=-1-10 = -2

Thus, it has no solution

Other Questions
PLEASE HELP ME ASAP I NEED TO GET THIS DONE!!!!Claudia wants to measure her body composition. How will she MOST accurately complete this measurement?A. She will compare her height to her waist circumference.B. She will compare the fat mass to a non-fat mass in her body.C. She will compare her weight to the weight of people her same age.D. She will compare the amount of weight she lifts to her own body weight. what is the cost allocation method called that is used for natural resources? Estimate 53.8-27.6. circle the compatible numbers to substitute54-28 53-28 55-27 55-25 The table shows how much money Diego has after buying some games and represents a linear function.What is the y-intercept of the function shown in the table, and what does it represent A. The y-intercept is (4,0), and the 4 represents the amount of moneyDiego spends per game.B. The y-intercept is (4,0), and the 4 represents the number of gamesDiego buys.C. The y-intercept is (0, 150). Diego has $150 before buying anygames.D. The y-intercept is (0, 150). Diego spends $150 per game. what is the difference between goals and objectives Summarize what happened to McCandless in Detrital Wash and how he felt about it. How does the use of birth control compare in the developed vs. developing countries? How would this affect HIV transmission? If you could help with a few questions that what be lit (giving best answers brainliest) Please please help me with this question According to John Locke the natural rights are? A park has a grassy section that covers 2 1/3 acres. Denny mowed half of the grassy section. What is the number of acres that Danny mowed? The value of y varies directly with x. If x = 3, then y = 18. What is the valueof x when y = 84 A science class has 5 girls and 3 boys in the seventh grade and 4 girls and 4 boys in the eighth grade. The teacher randomly selects a seventh grader and aneighth grader from the class for a competition. What is the probability that the students she selects are both boys?Write your answer as a fraction in simplest form. A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 25 pounds and each large box of paper weighs 70 pounds. A total of 21 boxes of paper were shipped weighing 1110 pounds altogether. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system. Consider the graph of f(x)=13x2. How do the graphs of 2f(x), f(x+2), and f(x)+2 compare to the graph of f(x)? Drag tiles to the empty boxes to correctly complete each sentence. The graph of 2f(x) Response area the graph of f(x). The graph of f(x+2) Response area the graph of f(x). The graph of f(x)+2 the graph of f(x). Air pressure is greatest near the surface of the Earth in the _______.Question 7 options:ThermosphereMesosphereTroposhereExosphere i need this pleaseeeee!!!!(a) The population of a certain city decreased by 4000 people. Write a signed number to represent this population change.and also b!!!! In your opinion pls help Hell please !!the teacher (female)las maestrasla maestrael maestrolos maestros Consider the linear equation 4x+3y=19 find the value of y that makes the given ordered pair a solution to the equation (x, 5) X=