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
If B is the midpoint of AC and AC = 40, what is the measure of BC?
BC =
Answers
Answer:
BC = 20
Step-by-step explanation:
Since B is the midpoint of AC , then
AB = BC = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 40 = 20
Pls explain!!!
Pls and thank you
Answers
Answer:
A = L x W
A = 3 3/4 x 1 1/2
A = (you do the math, 3 3/4 x 1 1/2 : )
Step-by-step explanation:
Hope this helps! Please gie brainliest
Answer:
The formula to find the AREA of a rectangle is as shown A=l x w
L meaning Lenght, which in this case is 3 [tex]\frac{3}{4}[/tex] ft.
W meaning width, which in this case is 1 [tex]\frac{1}{2}[/tex] ft.
Now that you know what the length and the width are, you want to multiply them like the formula A = l x w
A= 3 [tex]\frac{3}{4}[/tex] x 1 [tex]\frac{1}{2}[/tex]
You want to create the fractions into a mixed number.
3 3/4 = 15/4
1 1/2 = 3/2
Now when you multiply it should look like this :
[tex]\frac{15*3 }{4*2}[/tex] or 15x3 / 4x2
This will get you the mixed number of 45/8
Then you can covert the mixed number to a whole number which will be
5 5/8
This will get you the final answer of 5 [tex]\frac{5}{8}[/tex] ft. This is your area.
I hope this helped.
Solve for m < DBC.......
Answers
Answer:
∠ DBC = 34°
Step-by-step explanation:
∠ DBC = ∠ ABC - ∠ ABD = 64° - 30° = 34°
3/4+5/6 divided by 2/3 in simplest form show work, please!
Thanks!
Answers
Answer:
2 [tex]\frac{3}{8}[/tex]
Step-by-step explanation:
3/4 + 5/6 (lowest common denominator = 12)
= 9/12 + 10/12
= 19/12
19/12 ÷ 2/3 (reciprocate 2/3 to replace division sign by multiplication sign)
= 19/12 x 3/2
= 57/24
= 19/8
= 2 [tex]\frac{3}{8}[/tex]
Hope this helps :)
Kail and Toni rented a
moving truck for 9 hours
and paid $ 179.55. How much
did it cost per hour?
*Pls help!!*
Answers
Answer:
$19.95 per hour
Step-by-step explanation:
1. To find the cost per hour, we have to divide the total amount paid by the number of hours!
2. (Solving)
[tex]\frac{179.55}{9}[/tex] [tex]19.95[/tex]Therefore, the answer is $19.95 per hour.
Help plsssssssssssssss
Answers
Solve the equation :
7:x=2:3
Answers
Answer:
x=8
Step-by-step explanation:
Since 7-2 is 5, that means that both sides are increasing by 5.
3+5 = 8 so therefore 8 =x
ratio x : y is 3: 1
Which of the following statements is correct?
A x 3/4 of y
B y is 1/3 of x
C x is 1/3 of y
D y is 1/4 of x
Answers
Answer:
D
Step-by-step explanation:
1+3=4
1 out of 4 =1/4
remember x is bigger than y
Evaluate the expression when c=4 and d=8.
5c+d
Answers
I think it is helpful for you!!!!
Please make me brainliest..
Answer:
5c + d
putting value of c and d,
5 × 4 + 8
20 + 8
28
HOPE THIS HELPS YOU
HAVE A NICE DAY
Solve the rational equation quantity 4 times x minus 1 end quantity divided by 12 equals eleven twelfths.
Answers:
x=2.5
x=2.7
x=3
x=4
Answers
4x - 1 divided by 1/12 = 11/12
Step 2 - multiply 12/1 to both sides
4x - 1 divided by 1/12 • 12/1 = 11/12 • 12/1
Step 3 - add 1 to both sides
4x - 1 + 1 = 11 + 1
4x = 12
Step 4 - divide 4 to both sides
4x/4 = 12/4
x = 3
Final answer
x= 3
Answer:
x=3 or C
Step-by-step explanation:
I just did the math and got it correct on my FLVS quiz
Solve for the value of y
Answers
8y=32
y=4
We could simply establish the following formula to solve for y:
m < 60° + m < (8y — 2)° = 90°
60° + 8y — 2 = 90°
58° + 8y = 90°
Subtract 58° from both sides
58° — 58° + 8y = 90° — 58°
8y = 32°
Divide both sides by 8:
8y/8 = 32°/8
y = 4
Therefore, the value of y = 4°
Double check whether we derived with the correct answer:
m < 60° + m < (8y — 2)° = 90°
m < 60° + m < 8 (4)— 2° = 90°
m < 60° + m < 32 ° — 2° = 90°
m < 60° + m < 30° = 90°
m < 90° = 90° (True statement). Thus, we have the correct value for y.
Please mark my answers as the Brainliest if you find my explanations helpful :)
help asap please!! :(( I need help
Answers
Answer:
m1= 43
m2=17
m3=120
m4=m5=m6=60
m7=17
m8=120
m9=43
Step-by-step explanation:
"Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°"
by SerenaBochenek
15. Find the values of y and y.
(18y+5)°(10r - 61)°(x + 10)°
Answers
This is the answer plz tell me if its wrong
Select all the statements that best describe the graph below.
Answers
The Correct choices are :
The Rate of change is not constant The dependent variable is number of book salesThe independent variable is dayThe relationship is non - linear This is a negative relationshipThis question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the resaurant floor. What are its dimensions?
Answers
I am positive 18m is the correct answer, sorry if I am wrong. Make sure to check before submitting
The required dimensions of the restaurant is 18 by 18 meters.
Given that,
This question is really bothering me: A restaurant has a square floor with an area of 324 m². Sketch the restaurant floor. dimensions are to be evaluated.
Surface area is defined as the collective region, whose mathematical expression can be formed.
here,
Let the sides of the square restaurant be a,
The area of the restaurant = area of the square
324 = a²
a = √324
a = 18 meters,
Thus, the required dimensions of the restaurant are 18 by 18 meters.
Learn more about surface area here:
https://brainly.com/question/2835293
#SPJ5
please answer this, thank you so much!! <3 :D
Answers
Answer: The correct answer is: " 11 .1 " .
________
Step-by-step explanation:
Given:
" [tex]1.9h + 3.5 =[/tex] ? " ; Solve: when: " [tex]h = 4[/tex] " ;
________
To find the answer:
We plug in "4" for the value for " [tex]h[/tex] " ;
and performed the mathematical operations indicated.
________
→ " [tex]1.9h + 3.5 =[/tex] [tex](1.9*4) + 3.5 = 7.6 +3.5 = 11.1[/tex] " .
________
The correct answer is: " 11 .1 " .
________
Hope this is helpful to you!
Best wishes!
________
i need help cause i dont know this i was out of school that day
Answers
Answer:
0.315
Step-by-step explanation:
act like the fraction is a division problem divide 6 by 19.
this decimal is a repeating decimal so it will never end rounded to the thousandth place it is 0.315
Sam bought a toy for $400 and sold it at a profit of 10% of the cost price. Calculate the SELLING PRICE of the toy.
Answers
Answer:
10% = 0.1 x 400 = 40
400 - 40 = 360$
8. Bir doğru parçasının yuvarlak uzunluğu 7 cm dir. a) Doğru parçasının en küçük uzunluğu kaç cm olabilir? b) Doğru parçasının en büyük uzunlugu kaç cm olabilir?Aciillll
Answers
Answer:
yfyffyfyfyg
Step-by-step explanation:
xgsxfuftuxfyfjfyfyfyffyfyfygyfdtdtdhfgjhtuydxfyyxff
WILL GIVE BRAINLIEST- Geometric Proofs
Answers
Answer:
Angle ACE and Angle ABE are congruent because they both share a side of Line Segment AE
Step-by-step explanation:
Plz help me do this math problem !
Answers
Answer:
ITS B
Step-by-step explanation:
well f and t are congruent and st and fl are congruent too and o has vertical angles. so I hope the answer is B
:))))
round 523 to the nearest ten
Answers
Answer:
523 to the nearest ten is 520
Find the exponential function that satisfies the given conditions:
Initial value = 66, decreasing at a rate of 0.5% per week (5 points)
f(t) = 0.5 ⋅ 0.34t
f(t) = 66 ⋅ 1.5t
f(t) = 66 ⋅ 0.995t
f(t) = 66 ⋅ 1.005t
Answers
Answer:
C. f(t) = 66 * 0.995^tStep-by-step explanation:
Required function is:
f(t) = 66*(1 - 5/100)^t = 66*0.005^tThe matching option is C
Find the equation of a line that passes through (5,-3) and is perpendicular to y = x.
a) y=x+2
b) y=x-8
c) y=-x+2
d) y=-x-8
Answers
Answer:
B
Step-by-step explanation:
X is 5 and y is -3, so y is x minus 8, which is y=x-8
M is the midpoint of PQ. MQ=5x+8 and PQ = 6x+56, find PM
Answers
Answer:
PM = 58
Step-by-step explanation:
The question tells us that the full line has a value of 6x+56. The midpoint divides this line into equal pieces. We are also given the value of half (MQ) of the line (5x+8). By subtracting 5x+8 from 6x+56, we can figure out the value of the other half of the line (PM).
This gives us the expression for PM: x+48
Now, since these are both the two parts of the midpoint, by definition, we know they're equal.
You equal both equations and get x=10
You plug in 10 as x in the expression we got for PM (10+48), which gives us the value 58.
two companies listed a revenue for the year in their respective websites. Company a has revenue in the amount of 1.6×10^6 and company b has revenue in the amount of 7.2x10^8. how many Times greater is the revenue for company b?
Answers
3 1/6 x 1/7 reduce to lowest terms
Answers
Answer:
19/42
Step-by-step explanation:
what is 35-14+27 i really need help pls anser fast
Answers
Answer:
B is the correct answer, The first choice (which you chose) is the incorrect answer.
Step-by-step explanation:
The second hand of the clock is 3.7 cm long. Find the linear speed of the tip of the second
hand as it's passes around the clock face.
O 0.00646 cm per sec
O 172.03 cm per sec
O 0.387 cm per sec
2.87 cm per sec
Answers
Answer:
I'd look it up would probably work if not see if someone else might be able to help you out with this
3x9 is 27
9,18,27
if you need more support just ask me ;)
Answers
Answer:
genius confirmed?? O.o
Step-by-step explanation:
Manz is too goated on da stix
