This is the architectural plan for a fenced-in garden.
The shaded region represents an area for trees.
How long is the fence around the edge of the garden?
(Do not include the edge around the tree region.)
Answers
The fence around the edge of the garden is 17.86 m long.
The fence around the edge of the garden is the perimeter of the quarter circle. That is the length of the arc plus the two radii.
Since the radius is 5 units long, its length r = 5 m.
The length of the arc L = rθ where r = radius of quarter circle = 5 m and θ = angle subtended by the arc in radians = π/2 (90°)
So, the length of the fence L' = L + r + r
L' = L + 2r
L' = rθ + 2r
L' = r(θ + 2)
Substituting the values of the varaibles into the equation, we have
L' = r(θ + 2)
L' = 5 m(π/2 + 2)
L' = 5 m(1.571 + 2)
L' = 5 m × 3.571
L' = 17.855 m
L' ≅ 17.86 m
So, the fence around the edge of the garden is 17.86 m long.
Learn more about length of a fence here:
https://brainly.com/question/11978566
Related Questions
Find x.
Multiple choice.
8, 9, 10, 11
Answers
Answer:
Step-by-step explanation:
As RS is a straight line sin ∠RUT = sin ∠SUT
line UT bisects ∠RTS
Let θ be ∠UTR and ∠UTS
Law of sines
Left side triangle
3x/sinθ = 40/sinRUT
sinRUT = 40sinθ / 3x
Right side triangle
(x + 2) / sinθ = 16 / sinSUT
(x + 2) / sinθ = 16 / (40sinθ / 3x)
(x + 2)(40sinθ / 3x) = 16sinθ
(x + 2)(40sinθ) = 48xsinθ
40xsinθ + 80sinθ = 48xsinθ
40x + 80 = 48x
80 = 8x
x = 10
Valentine's Day is coming up, so Sweet Dreams chocolate shop is ordering ribbon to decorate gift boxes. Small gift boxes use 20 inches of ribbon, while large ones use 30 inches. Sweet Dreams expects to sell 225 small boxes and 180 large boxes. If the ribbon they use is sold by the yard, how many yards of ribbon should they order?
Answers
Answer:
i think 9900
Step-by-step explanation:
225x20 = 4500
180x30 = 5400
5400+4500 = 9900
what is the additve inverse of 9/10
Answers
Answer is -9 litterly just take a postive and make it into a negative
What is the solution of this system of equations?
x + 3y = 7
3x +2y = 0
A. (3,2)
B. (-2,3)
C. (2, -3)
D. (-3,2)
E. (-2,-3)
Answers
Answer:
B. (-2,3)
Explanation:
First, we'll turn both lines to slope-intercept form:
x + 3y = 7
Subtract x on both sides to get 3y = -x + 7, then divide 3 on both sides to get y = -1/3x + 7/3.
3x + 2y = 0
Subtract 3x on both sides to get 2y = -3x, then divide 2 on both sides to get y = -3/2x.
Now you can graph (I did it for you above⤴⤴⤴).
Hope this helps you :)
The Washington High key club is selling brownies and chocolate chip cookies to raise money. Their table only has room for 100 baked goods. Previous bake sells has taught them to plan to bake at most 30 brownies and at least 50 cookies. Write and graph a system of inequalities to represent the possible number of baked goods.
Answers
Step-by-step explanation:
Let x - brownies, y - cookies.
According to given w have following inequalities
Their table only has room for 100 baked goods:
x + y ≤ 100Plan to bake at most 30 brownies and at least 50 cookies:
x ≤ 30y ≥ 50See attached for the graphical solution
The solution is within the marked boundaries.
Will the answer to the addition problem below be odd or even?
2156 +992 = ?
Answers
Answer:
Even
Step-by-step explanation:
When two even numbers are added there will be an even result. To check this adding 2156 and 992 gets 3148 which is an even number.
1 1/16 divided by 1/1/16
Answers
Answer:
i dont know
Step-by-step explanation:
i really dont know
geomtry plzz help 15 points
Answers
Answer:
[tex]23<d<7[/tex]
Step-by-step explanation:
To solve this we have to find the number greater than [tex]d[/tex] and less than
the way we find these is by adding the larger number with the smaller number and subtracting the larger number with the smaller number
[tex]15+8=23\\15-8=7\\[/tex]
Our answer is [tex]23<d<7[/tex]
brainliest please
The difference between 12 and ten times a number is -28
Answers
Answer:
4Step-by-step explanation:
[tex]n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}[/tex]
Admission to a baseball game is $2.50 for general admission and $5.00 for reserved seats. The receipts were $3667.50 for 1109 paid admissions. How many of each
ticket were sold? (Round to nearest integer if necessary.)
Answers
The general admission tickets sold are 1467 and the number of reserved seats tickets sold is 358.
Two equations would be derived from the question:
$2.50a + $5b = $3667.50 equation 1
a + b = 1109 equation 2
Where:
a - number of people for the general admission
b = number of people for the reserved seats
To determine the value of b, take the following steps:
Multiply equation 2 by 2.5
2.5a + 2.5b = 2772.50 equation 3
Subtract equation 3 from 2
2.5b = 895
Divide both sides by 2.5
b = 358
In order to determine the value of a, substitute for b in equation 2
358 + a = 1109
a = 1109 - 358 = 1467
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
PLEASE HELP!!!!!!!!!!!!!!!!!
Answers
Answer:
7.11[tex]\leq[/tex]-7.1
Step-by-step explanation:
Answer:
Question 1- C. 7.11 > -7.1
Question 2- True
Question 3- -3 < -1 and -3 ≤ -1
Question 4- I don't know
Question 5- {3,4}
Step-by-step explanation:
I ran it through the calculator only on question 4 I didn't know the answer
-Rocketgamer360
Help please! Will give brainliest!!
Answers
Refer to the attachment
Answer:
$714Step-by-step explanation:
Given:
A = 9000 i = 8.2% or 0.082 n = 9 d = ?Use the given formula and find d:
[tex]A=d(\frac{(1+0.082)^9-1)}{0.082})[/tex][tex]9000=d*12.6[/tex][tex]d=9000/12.6[/tex][tex]d=714[/tex]$49.95 gloves 5 1/4 % markup
Answers
Answer:
1234567891011121314151617181920
The function c(h)= (20h)/(h^2+2) models the concentration of a medication in the bloodstream h hours after it’s injection into the muscle tissue.
-Does the graph have a vertical asymptote? If so, give the equation of the vertical asymptote and explain why this would be a concern or not. If the function does not have a vertical asymptote, explain why.
-Find the horizontal asymptote, what does it mean in the context of this problem?
-Does the function cross the horizontal asymptote? Does it make sense in the relation to this problem?
I have the answers, I just don’t understand how to explain them in the context of the problem.
Answers
Answer:
Step-by-step explanation:
What’s it’s answer I am wonder
Find the derivative of the function y = ln(3t+4)
Answers
Answer:
3 / (3t+4) is the answer
third degree with zeros of − 3 −1 and 5 and a y-intercept of − 10
Answers
Answer:
What are you asking? Yeah I know that but what do you need to know?
Step-by-step explanation:
The system of equations y = 2x + 5 and y = –3x – 15 is shown on the graph below.
On a coordinate plane, 2 lines intersect at (negative 4, negative 3).
According to the graph, what is the solution to this system of equations?
(–4, –3)
(–3, –4)
(–5, 5)
(5, –5)
Answers
Answer:
-4 -3
Step-by-step explanation:
Help me please ………..
Answers
Answer:
Step-by-step explanation:
Answer:
<QSR = 55°(180°-125°)
Step-by-step explanation:
therefore, p-8=55°
p=(55+8)° = 63°.
hope this helps you.
Elli left home8:30 and returned at 1:25how long was she away from home?
Answers
Answer:
3 hours and 45 minutes assuming its from am to pm
Step-by-step explanation:
Hope This Helps
Let f(x)=3x-8 and g(x)=x^2+4.
Find f(g(-2)).
Answers
Answer:
16Step-by-step explanation:
Given:
f(x) =3x - 8 and g(x) = x² + 4f(g(- 2)) = ?First find g(- 2):
g(- 2) = (-2)² + 4 = 4 + 4 = 8Find f(8):
f(8) = 3*8 - 8 = 24 - 8 = 16g(-2):-
[tex]\\ \sf\longmapsto (-2)^2+4[/tex]
[tex]\\ \sf\longmapsto 4+4[/tex]
[tex]\\ \sf\longmapsto 8[/tex]
Now
[tex]\\ \sf\longmapsto f(x)=3x-8[/tex]
[tex]\\ \sf\longmapsto f(g(-2))=f(8)[/tex]
[tex]\\ \sf\longmapsto 3(8)-8[/tex]
[tex]\\ \sf\longmapsto 24-8[/tex]
[tex]\\ \sf\longmapsto 16[/tex]
Teresa measures five eighths foot of ribbon for a costume. She needs seven pieces of ribbon with that same length. What is the total length of ribbon Teresa needs to make all the costumes?
Answers
if there was a group of ten people the probability of them being born on the same day of the same year is 1, true or false and why
Answers
Answer:
Step-by-step explanation:
It's completely false. If I remember the odds it takes 23 people to get a probability of 1/2 to get a 50% chance of two of the people to have the same day, never mind the same year.
When I was growing up, I had the pleasure of sharing my birthday on the same day as one of my classmates. I was in Grade Three at the time. We were born in the same year. That's the only time I ever heard of it during my childhood. There were 26 in the class.
Later on when I was teaching I tried it in a class of 20. I had forgotten that the class contained a set of twins.
If the class is more random 23 people gives a 50% chance of a duplication of the year but not the year.
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
Answers
2x ( x - 2x) = 1
2x= 1
x = 0.5
x-2x = 1
-x = 1
x = -1
What is 6 3/4 percent of 800
Answers
Answer:
answer is 746.
have a nice day and do good in math
Two polygons are similar. The corresponding angles of the polygons are- A congruent B proportional C regular D similar
Answers
9514 1404 393
Answer:
A congruent
Step-by-step explanation:
In similar polygons, corresponding sides are proportional, and corresponding angles are congruent.
Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A. point U
B. point V
C. point W
D. point X
Answers
Answer:
the answer is A. point U
or it's point W
Convert fractions into percents
1/16= __
Answers
Answer:
160%
Step-by-step explanation:
Multiply both numerator and denominator by 100. 1.6 × 100100.
= (1.6 × 100) × 1100 = 160100.
Write in percentage notation: 160%
can someone heelp me
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{Guide}\downarrow\\\large\text{10's = X}\\\large\text{20's = XX}\\\large\text{30's = XXX}\\\large\text{40's = XL}\\\large\text{50's = L}\\\large\text{60's = LX }\\\large\text{70's = LXX}\\\large\text{80's = LXXX}\\\large\text{90's = IX}\\\large\text{100's = C}\\\large\text{200's = }CC \\\large\text{300's = CCC}\\\large\text{400's = CD}\\\large\text{500's = D}\\\large\text{600's = DC}\\\large\text{700's = DCC}\\\large\text{800's = DCCC}\\\large\text{900's = CM}\\\large\text{1,000's = M}[/tex]
[tex]\large\textsf{NOW THAT WE HAVE THAT GUIDE/INFORMATION OUT OF}\\\large\textsf{THE WAY, WE CAN ANSWER YOUR GIVEN QUESTION.}[/tex]
[tex]\huge\text{1,052 = \boxed{\rm{\bold{M}LII}}}\huge\checkmark\\\\\\\\\huge\text{450 = \boxed{\rm{\bold{CD}L}}}\huge\checkmark\\\\\\\huge\text{952 = \boxed{\rm{\bold{CM}LII}}}\huge\checkmark\\\\\\\huge\text{942 = \boxed{\rm{\bold{\bold{CM}}XLII}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Which of these lenders will make a very short-term loan based on proof of
employment?
A. Title lender
B. Bank
C. Credit union
D. Payday lender
Answers
help me please someone
Answers
=========================================================
Explanation:
Part A
Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.
------------------------
Part B
Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).
------------------------
Part C
Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.