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
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 = 6mTo 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 mLater 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 mFinally, 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 mLearn more in: https://brainly.com/question/14930619
Related Questions
loolllllllll i neeeddd helpppp asapppppppp
Answers
The median is where the middle is so if you count on either side until you get to the middle you have the median. The average is all the numbers added up divided by the number of numbers ( you might want to check me incase I typed it in wrong on my calculator. The range is just the highest- the lowest:)
Hope this helps
Complete the equation of this circle:
(x - [ ? ])2+(y - [ ])2= []
Answers
The complete equation of the circle graphed is (x - 2)² + (y + 2)² = 9
Determining the equation of the circle graphedFrom the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
Center = (a, b) = (2, -2)
Radius, r = 3 units
The equation of the circle graphed is represented as
(x - a)² + (y - b)² = r²
So, we have
(x - 2)² + (y + 2)² = 3²
Evaluate
(x - 2)² + (y + 2)² = 9
Hence, the equation is (x - 2)² + (y + 2)² = 9
Read more about circles at
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A cylindrical gasoline storage tank has a diameter of 3.8 ft and a height of 10.9 ft.
What is the total surface area of the tank.
HELP PLZ !!! Extra points will be given !!!
Answers
Alex is conducting a survey for a car company. She decides to start by interviewing some people in her neighborhood. She prepares a questionnaire and emails it to 50 neighbors who own cars. Of those neighbors, 24 respond. Why is this sample likely to be biased?
A.
Alex sent a questionnaire by email instead of going door to door.
B.
Alex sent the questionnaire only to those who live near her.
C.
Not everyone who got the questionnaire responded.
D.
Those who got the questionnaire may not have responded on time.
Answers
Answer:
The answer is B
This is because if we know that Alex sent the questionnaire only to those who live near her, we can infer that this is biased.
Answer:
B: Alex sent the questionnaire only to those who live near her
Step-by-step explanation:
<3
A high school coach wants to buy new shirts for the 25 members of the track team. The coach must spend less than $300 on the shirts and needs to figure out how much he can spend per shirt, s. Which of the following must be true about the inequality and the resulting graph? Select three options. The inequality should be written as 25 s less-than 300. The inequality should be written as 25 s greater-than 300. The circle is open. The circle is closed. The arrow points left.
Answers
Answer:
A, C, E
Step-by-step explanation:
In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
1. ris 4 more than the product of 7 and 8
Answers
Answer:
i dont know if this is the answer u want
4+(7*8)=x
x= 60
Step-by-step explanation:
HURRYY!!!
Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account. Each month after the first month, his father deposits $2 more than the previous month. The total amount deposited in Rodney’s account after four years can be represented using the expression . How much total money has been deposited?
$2,496
$2,544
$2,640
$2,688
Answers
Answer:
A
Step-by-step explanation:
Edge 2021
The sum of the 48 terms will be $2,496. Then the correct option is A.
What is the arithmetic sum of sequence?Let a₁ be the first term, n the number of the terms, and l be the last term of the sequence.
Then the sum of all the terms will be given as,
S = [n (a₁ + l )] / 2
Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
[tex]\rm a_n = a_1 + (n - 1)d[/tex]
Beginning with Rodney’s first month of high school, his father deposits $5 into Rodney’s savings account.
Each month after the first month, his father deposits $2 more than the previous month.
Then the first term is $5 and the common difference is $2.
The total amount deposited in Rodney’s account after four years can be represented using the expression.
Then the total number of the terms will be
n = 4 x 12
n = 48 months
Then the 48th term of the sequence will be
a₄₈ = 5 + (48 – 1) · 2
a₄₈ = 5 + 47 · 2
a₄₈ = 5 + 94
a₄₈ = 99
Then the sum of the 48 terms will be
S = 48 (5 + 99) / 2
S = 24 × 104
S = $2,496
Then the correct option is A.
More about the arithmetic sum of sequence link is given below.
https://brainly.com/question/14021449
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Please help ASAP!!!
Rewrite the following expression 36+18 using the GCF and the distributive property.
Answers
Answer:
18 ( 2 + 1 )
Step-by-step explanation:
Factors of 36.
1 x 362 x 183 x 124 x 96 x 6Factors of 18
1 x 182 x 9 3 x 6The Greatest common factor they have is 18.
can someone help me please? and if its okay can you show the step by step explanation.
Answers
1. t=d/r
2. m=e/c^2
3. C= -P/R
And so on... You just divide/subtract the letters to the other side
Nicole runs 6 miles in 45 minutes. At the same rate, how many minutes would she take to run 4 miles?
Answers
Answer:
30 minutes
Step-by-step explanation:
6=45
4=x
6x2/3=4
45x2/3=30
x=30
Answer:
66 minutes
Step-by-step explanation:
23 please help thanks no link or i will report
Answers
how many students got 90 or less = 14
how many students got more than 90 = 11
3 more students got 90 or less so answers is D. 3
please mark brainliest
I need help! Answer this please! I will give brainliest!! ASAP
Answers
Answer:
it's 9 or 21
Step-by-step explanation:
Bella surveyed the first 15 students in the lunch line.
Is this sample of the students in the school likely to be representative?
yes
no
Answers
Answer:
No
Step-by-step explanation:
Only people in the lunch line got surveyed, that on it's own is biased.
Only 15 people out of the entire school.
Only the first people got surveyed.
Solve the inequality. Graph the solution.
Answers
Answer:
Don't see it. Sorry.
Step-by-step explanation:
Steven needed to mail a holiday envelope to his Aunt Linda. He used $0.02 stamps and $0.10 stamps to mail the gift. If he used 15 stamps worth $0.78, how many of each type of stamp did he use?
Answers
Answer:Steven used 9 $0.02 stamps and 6 $0.10 stamps
Step-by-step explanation:
let number of $0.02 stamp be =x
let number of $0.10 stamp be =y
so that the number of stamps used can be expressed as
x+y=15
and the total price of stamps used equaling $0.78 be expressed as
0.02x + 0.10y =0.78
Solving
x+y=15----1
0.02x + 0.10y =0.78---2
from equation 1 , x =15-y, putting the value of x into equation 2
0.02(15-y) + 0.10y =0.78
0.3 -0.02y + 0.10y = 0.78
0.3 + 0.08y=0.78
0.08y=0.78-0.3
y=0.48/0.08 =6
y =6 stamps
Putting bthe value of y =6 into equation 1
x+6=15
x=15-6 =9
Steven used 9 $0.02 stamps and 6 $0.10 stamps
OMG OMG THE MISS IS ASKING ME THIS AUESTION BEFORE MY OTHER CLASSMATE PLS HELP FAST IM CRYING AND SHAKING I CANT TYPE TOO PLEASEEE
Answers
They are the same
Step-by-step explanation:
Explanation: 3/4 and 6/8 are equal
I’m honestly confused I will mark Brainliest
Answers
Answer:
28 units !
brainliest please.
Step-by-step explanation:
Answer:
502.4 units³
Step-by-step explanation:
Volume of a cylinder = π r² h
where r is the base radiush is the height of the cylinder[tex]volume \: = 3.14 \times {4}^{2} \times 10 \\ volume \: = 3.14 \times 16 \times 10 \\ volume \: = 502.4 \: {unit}^{3} [/tex]is 628/1300 the same as 628 divided by 1300?
Answers
Answer:
Step-by-step explanation:
Yes
Answer:
yes
Step-by-step explanation:
here 628/1300 means
[tex] \frac{628}{1300} [/tex]
where
[tex] \frac{628}{1300} means 628 \div 1300[/tex]
where the sign ÷ shows divide
so we can say 628/1300=628 divided by 1300
hope it helps you
simplify. i need help with this
Answers
Answer:
4^4
144x^9
3^24 x^20
Step-by-step explanation:
4^7/ 4^3 keep the base number and subtract the exponent
(12x^4) (2x^5) Multiply the numbers then add your exponents
(3^6 x^5)^4 multiply the exponents inside by exponent 4
Write the number in 2 equivalent forms as a fraction, decimal, or percent.
15
16
What is the equivalent decimal?
Answers
Answer:
15= 0.15 15% 16=0.16 1 6/100
Step-by-step explanation:
((−34)5)2 help me I'm confused AAAAAAAAAAAAAAAAAAAA
Answers
Answer:
340
Step-by-step explanation:
((-34)5)2
(-170)2
340
Can someone explain how to use the Phythagoren theorem please?
Answers
Step-by-step explanation:
there are three parts first one is hypotenuse, base, height....
hope you understood
can anyone help me with this
Answers
Answer:
1. 7
2. 3
3. 105
49/7 = 7 which means 7 shot equals 1 minute
URGENT!!!!!
Select expression that represents the following statement multiply six by the sum of three and eight
Answers
Hi
6 * (3+8) = 6 * 11 = 66
Answer:
66
Step-by-step explanation:
6 (3+8) aka 6×(3+8)
6 (11)
= 66
Here is a different function modeling the height of a
potato, in feet, seconds after being fired from a different
device:
-161? + 80t +64
How could you determine the time at which the potato
hits the ground? You do not need to determine the
answer. Just explain HOW you would go about
doing so.
Submit
Answers
Answer:
An object is thrown straight up from the top of a building h feet tall with an initial velocity of v feet per second. The height of the object as a function of time can be modeled by the function h(t) = –16t2 + vt + h, where h(t) is the height of the object (in feet) t seconds after it is thrown.
Step-by-step explanation:
A ball is thrown straight up from the top of a 128 foot tall building with an initial speed of 32 feet per second. The height of the ball as a function of time can be modeled by the function h(t) = –16t2 + 32t + 128. How long will it take for the ball to hit the ground?
What is the surface area of this design?
PLEASE HELP ASAP!!
Answers
SO you would have to first have the surface area of the cube which is 25 for each side so 25 x 6 = 150
Then you find the surface area for the other sides and It is 4 x 5 divided by two for each triangle on the side, so that would be 20 and you multiply then 6.4 x 5 to equal 32 for the rectangle. The last part is the bottom and it is 4 x 5 again which is 20 so then you add them all up but im not sure.
A marble is selected at random from a jar containing 30 red marbles, 10 yellow marbles, and 60 green marbles. Find the theoretical probability that it is either red or green.
Answers
there is a 90% chance its a red or green or a 90/100 chance
Step-by-step explanation:
first you need to count your whole which would be the sum of adding all the marbles which is 100 then add the red and green that's 90 lastly you make a fraction 90/100 (simple the fraction if asked )
BRAINLIEST FOR CORRECT ANSWER!
What is the transformation rule for a translation 3 units right?
Answers
Answer:Translation happens when we move the image without changing anything in it. ...
Rotation is when we rotate the image by a certain degree. ...
Reflection is when we flip the image along a line (the mirror line). ...
Dilation is when the size of an image is increased or decreased without changing its shape.
For the equation W = -175t + 8,750, how much water is left after 6 hours?
Answers
Answer:
7,700
Step-by-step explanation:
-175 x 6 = -1,050
-1,050 + 8,750 = 7,700
Dairy cows provide 90% of the world's milk supply. The
table shows the amount of milk produced by a cow over
time. If the pattern in the table continues, how much milk
can a farmer get from a cow in 1 year (365 days)?
Answers
Answer:
9,125 L
Step-by-step explanation:
The computation of the milk that can a farmer would get from a cow in one year is shown below:
As in the table it is shown that
In 2 days, the amount of milk is 50 L
In 7 days, the amount of milk is 175
and so on
So if we can see that the number of days should be multiplied by 25 to get the liters
So for 365 days, the milk would be
= 365 days × 25
= 9,125 L