This diagram shows a park's walking path in the shaded area. The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters. What is the area of this walking path? Use 3.14 for π. Enter your answer as a decimal in the box. m²
Answers
Answer:
The answer is 24.78 m^2
Step-by-step explanation:
I did the test
The outside circumference of the walking path is 50.24 meters and the inside circumference of the walking path is 25.12 meters then the area of the walking path is 150.72 m²
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The formula for circumference of circle is 2πr
The area of circle is πr²
Area of large circle
Given:
circumference = 50.24 m
50.24 = 2 × 3.14 × r
r = 8 m
Therefore Area = 3.14 × 8²
= 200.96 m²
Area of small circle
Given circumference = 25.12 m
⇒ 25.12 = 2 × 3.14 × r
⇒ r = 4 m
Therefore Area = 3.14 × 4²
= 50.24 m²
Area of shaded path area = area of large circle - area of small circle
= 200.96 - 50.24
= 150.72 m²
Hence, the area of the walking path is 150.72 m²
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Related Questions
1. Prove the identity
a. tanθ cos θ
Answers
Answer:
[tex] \sin0[/tex]
Step-by-step explanation:
[tex] \tan0 \cos0 = \frac{ \sin0 }{ \cos0} \cos0 \\ \\ [/tex]
Therefore,
[tex] \tan0 \cos0 \: = \sin0 [/tex]
Adam graphs a quadratic function. The vertex of the parabola he graphs is located at (5, 0). What is the axis of symmetry
Answers
Step-by-step explanation:
the vertex is on the axis of symmetry so the axis of symmetry would be x=5
Answer:
the axis of symmetry is x=5
The radius of a circle is 11 inches. Find the diameter.
Answers
Answer:
22 inches
Step-by-step explanation:
Diameter=2×Radius
Radius=11
Diameter=11×2=22
I need help...
Five more than a number is 23.
Find the number
Answers
Answer:
18
Step-by-step explanation:
5 more a number equals 23.
Subtract 23 and 5, the number is 18.
Check; 18 + 5 = 23.
Hope this helps!
-Jerc
23-5=18 hope that helped
Start time 7:30 pm end time 9:55 pm elapsed time:
Answers
Answer:
this would be 2 hours and 25 minutes friend :)
Step-by-step explanation:
Please rate 5 star and give brainlest! have an amazing day/night .
What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin?
H’(–6, –2)
H’(6, –2)
H’(–6, 2)
H’(6, 2)
Answers
Answer:
a) H' (-6, -2)
Step-by-step explanation:
For 90° rotation, coordinates of a point change like this
(x, y) ---> (y, -x)
So, for our point
H(2, –6) ---> H' (-6, -2),
Answer:
its A
Step-by-step explanation:
took the test
A helicopter hovers 1300 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 47°. How far off the coast, to the nearest foot, is the island?
Answers
Answer:
1.212 ft
Step-by-step explanation:
[tex] \tan(47) = \frac{1300}{d} \\ \\ d = \frac{1300}{ \tan(47) } \\ \\ d = 1.212 \\ \\ [/tex]
ANSWER: 1.212 ft
What is the answer to this and show the work please.
Answers
The dimensions of this figure are changed so that the new surface area is exactly 1/3 what it was originally. What is the new surface area? Enter your answer as a decimal in the box. ft² Please help! tysm ♥
Answers
Surface Area of original figure= 577.49 ft2
Surface Area of new figure
= 1/3 x 577.49 = 192.497
= 192.5 ft2
Detailed Solution is in the picture below
The new surface area is 198.79 ft².
What is Surface Area?An object's surface area is the total area that all of its surfaces occupy. Many 3D shapes in geometry have various surface areas, which are simply calculable using the formulas.
As per the given diagram:
All the dimensions are mentioned
new surface area is exactly (1/3) of original surface area.
Original surface area = (5 × 6.1) + (5 × 10) + (9.8 × 6.1) + (4.9 × 6.1) + (10 × 5) + (14.8 × 4.9) + (10 × 5) + (14.8 × 4.9) + (14.8 × 6.1) + (14.9 × 6.1)
Original surface area = 30.5 + 50 + 59.78 + 29.89 + 50 + 72.52 + 50 + 72.52 + 90.28 + 90.89
original surface area = 596.38 ft²
Therefore,
New surface area = (1/3) of original surface area
= (1/3) × 596.38
= 198.79 ft²
Hence, the new surface area is 198.79 ft².
To learn more about surface area, click:
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A rectangle with constant area has possible lengths and widths as shown in the table below. width vs. length of a rectangle width (w) length (l) 2 37.5 4 18.75 6 12.5 8 9.375 which equation can be used to find any corresponding length and width that fit the pattern in this table? l = startfraction k over w endfraction, where l is the length, w is the width, and k is a constant (w not-equals 0) l = m w b, where l is the length, w is the width, and m and b are constants l = k w superscript one-half, where l is the length, w is the width, and k is a constant l = a w squared, where l is the length, w is the width, and a is a constant
Answers
The equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,
[tex]I=\dfrac{k}{w}[/tex]
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
[tex]A=a\times b[/tex]
Here, (a)is the length of rectangle and (b) is the width of the rectangle.
A rectangle with constant area has possible lengths and widths as shown in the table below.
Width vs. Length of a rectangle
width (w) 2 4 6 8length (l) 37.5 18.75 12.5 9.375In the above table, the length of a rectangle is decreasing with increasing the width of a rectangle.
For such relation, the value of w should be inversely proportional to the length of it. The first option given as,
[tex]I=\dfrac{k}{w}[/tex]
Here l is the length, w is the width, and k is a constant (w not-equals 0).
In this expression, the length of the rectangle is inversely proportional to the width of the rectangle.
Thus, the equation, which is used to find any corresponding length and width that fit the pattern in the provided table is,
[tex]I=\dfrac{k}{w}[/tex]
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
Answer:
a
Step-by-step explanation:
Two lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axesTwo lines, A and B, are represented by equations given below: Line A: y = x − 2 Line B: y = 3x + 4 Which of the following shows the solution to the system of equations and explains why? (−3, −5), because the point does not lie on any axis (−3, −5), because the point satisfies both equations (−4, −8), because the point satisfies one of the equations (−4, −8), because the point lies between the two axes
Answers
Answer:
Step-by-step explanation: Vertex:
(
3
,
−
1
)
Focus:
(
3
,
−
7
8
)
Axis of Symmetry:
x
=
3
Directrix:
y
=
−
9
8
x
y
1
7
2
1
3
−
1
4
1
5
7
PLEASE HELP ME!! PLEASE!! HURRY!! I'M BEIG TIMED!! PLEASE HURRY!! HELP!!
Multiply the numbers using expanded form.
652 = 600 + 50 + 2
x 3 = x 3
------------------------------------
1956 = ____ + ___ + 6
Answers
Brady and 3 Friends went to lunch at Mazzio's Pizza. Their meal cost $32, they left a 15% tip. How much was the total Bill, including tip?
Answers
Answer:
(32/100) x 115 = $36.80
Step-by-step explanation:
Not much to explain...
Triangle ABC was dilated by 50% what is the relationship between AC and A’C’
A) AC= A’C’
B) AC= 5(A’C’)
C) AC= 1/2 (A’C’)
D) 1/2 (AC)= A’C’
Answers
Answer:
1/2(AC) = A'C'
Step-by-step explanation:
IF Triangle ABC is 100% then, A'B'C' be 50% which is 1/2(AC) = A'C'
Answer:
1/2(AC) = A'C' Is gonna be the answer
Step-by-step explanation:
hope it helped
A boat travels 160 miles in 5 hours. What is its speed in miles per minute?
—> Please show your work!
Answers
Step-by-step explanation:
distance = 160mile
time =5 hour or 5×60=300 minutes
speed =distance /time
v=160/300
v=0.5334miles per minute
Small cubes of edge length frac{1}{4}
4
1
inch will be packed into the rectangular prism.
How many small cubes are needed to completely fill this rectangular prism?
small cubes
Answers
Answer:
she will need 286 cubs
Step-by-step explanation:
5.25x4x3.25=71.5
71.5 divided by 0.25=286
let please help me please
Answers
Answer:
p = 170
Setting up the formula:
The mean is the sum of the digits divided by the total digits in the set.
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = \text{Mean}[/tex]
[tex]\rightarrow \dfrac{\text{Sum of digits}}{\text{Total digits}} = 39[/tex] [Mean = 39]
[tex]\rightarrow \dfrac{25 + p}{\text{Total digits}} = 39[/tex] [Sum of digits = 25 + p]
[tex]\rightarrow \dfrac{25 + p}{5} = 39[/tex] [Total digits = 5]
Step-by step calculations:
Use cross multiplication:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
Simplify the RHS:
[tex]\rightarrow 25 + p= 39 \times 5[/tex]
[tex]\rightarrow 25 + p= 195[/tex]
Subtract 25 both sides:
[tex]\rightarrow p = 195 - 25[/tex]
[tex]\rightarrow p = 170[/tex]
At a NASCAR racetrack, the distance per lap is 2 miles. Lou Lambert drives his car at a constant rate of 160 miles per hour. Ralph Redding drives his car at a constant rate of 170 miles per hour. How long will it take before Ralph gains 2 laps in relation to Lou?
Answers
Answer:
24 minutes
Step-by-step explanation:
Given:
Distance per lap = 2 miles
Speed of Lou Lambert = 160 miles/hr
Speed of Ralph Redding = 170 miles/hr
Speed difference between the two = 170 - 160 = 10 miles/hr
Therefore, we can say that Ralph gains 10 miles in 60 minutes over Lou.
We have to find the time in which Ralph will gain 2 laps i.e. 2 [tex]\times[/tex] 2 = 4 miles.
Let us use unitary method to find the required time.
10 miles are gained by Ralph in 60 minutes
1 mile will be gained in [tex]\frac{60}{10} = 6\ minutes[/tex]
4 miles will be gained in 6 [tex]\times[/tex] 4 = 24 minutes
2. Roberto has a wealthy uncle who gives him two options to save money in a bank
account to save for a PlayStation 4, which will cost $518.
Option 1: Roberto's uncle deposits $100 in the first month and $50 for each additional month.
Option 2: Roberto's uncle deposits $5 for the first month and will double the about in the
account each month.
Which option above can be written as a geometric sequence?
A. Option 1
B. Option 2
C. Both Option 1 and 2
D. Neither Option 1 or 2
Answers
Answer:
B. Option 2 (only)
Step-by-step explanation:
A geometric sequence is a sequence of terms that have a common ratio.
Option 1The deposits are ...
100, 50, 50, 50, ...
The ratios of terms of this sequence are ...
1/2, 1, 1, 1
So, the ratio is not constant, and the sequence is not geometric.
__
Option 2The deposits are ...
5, 10, 20, 40, ...
The ratios of terms of this sequence are ...
10/5 = 2, 20/10 = 2, 40/20 = 2, ...
The ratio is constant, so the sequence of deposits for Option 2 is geometric.
concert the scientific notation into a standard form number. 1.23* 10^-5
Answers
Answer:
0.0000123
Step-by-step explanation:
That " -5 " exponent requires that we move the decimal place 5 units to the left, which results in:
0.0000123
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answers
Answer: it think it’s the third one
Step-by-step explanation:
QS is a midsegment of △PRT.
If PT=u+6 and QS=u, what is the value of u?
Answers
Answer:
6
Step-by-step explanation:
PT = 2QS
u+6 = 2u
2u-u = 6
u=6
Multiply 531.7 and 9 together.
Round to the nearest hundredth when necessary.
Answer:
Answers
Answer:
answer is 4785.3 explained in picture
[tex][Hello,BrainlyUser][/tex]
Answer:
47853
Step-by-step explanation:
[tex]\mathrm{Multiply\:without\:the\:decimal\:points,\:then\:put\:the\:decimal\:point\:in\:the\:answer}[/tex]
[tex]Line\;up\;the\;numbers[/tex]
[tex]\begin{matrix}\:\:&5&3&1&7\\ \times \:&\:\:&\:\:&\:\:&9\end{matrix}[/tex]
[tex]multiply\;the\;top\;number\;by\;the\;bottom\;number\;one\;digit\;at\;a\\\;time\;starting\;with\;the\;ones\;digit[/tex]
[tex]multiply\;the\;bold\;number:7*9=63[/tex]
[tex]\mathrm{Carry\:}6\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}3\mathrm{\:in\:the\:result\:line}[/tex]
[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&6&\:\:\\ \:\:&5&3&1&\textbf{7}\\ \times \:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&3\end{matrix}}[/tex]
[tex]Add\; the \;carried \;number\;to\;the\;multiplication:6+1*9=15[/tex]
[tex]\mathrm{Carry\:}1\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}5\mathrm{\:in\:the\:result\:line}[/tex]
[tex]\frac{\begin{matrix}\:\:&\:\:&1&\textbf{6}&\:\:\\ \:\:&5&3&\textbf{1}&7\\ \times \:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&5&3\end{matrix}}[/tex]
[tex]Add\; the \;carried \;number\;to\;the\;multiplication:1+3*9=28[/tex]
[tex]\mathrm{Carry\:}2\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}8\mathrm{\:in\:the\:result\:line}[/tex]
[tex]\frac{\begin{matrix}\:\:&2&\textbf{1}&6&\:\:\\ \:\:&5&\textbf{3}&1&7\\ \times \:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&8&5&3\end{matrix}}[/tex]
[tex]Add\; the \;carried \;number\;to\;the\;multiplication:2+5*9=47[/tex]
[tex]\mathrm{Carry\:}4\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}7\mathrm{\:in\:the\:result\:line}[/tex]
[tex]\frac{\begin{matrix}\:\:&4&\textbf{2}&1&6&\:\:\\ \:\:&\:\:&\textbf{5}&3&1&7\\ \times \:&\:\:&\:\:&\:\:&\:\:&\textbf{9}\end{matrix}}{\begin{matrix}\:\:&\:\:&7&8&5&3\end{matrix}}[/tex]
[tex]Add\;the\;carried\;digit,4,to\;the\;result[/tex]
[tex]\frac{\begin{matrix}\:\:&4&2&1&6&\:\:\\ \:\:&\:\:&5&3&1&7\\ \times \:&\:\:&\:\:&\:\:&\:\:&9\end{matrix}}{\begin{matrix}\:\:&4&7&8&5&3\end{matrix}}[/tex]
[CloudBreeze]
Solve: -4 (x + 2) =24
show work
Answers
Answer:
-4(x+2)=24
distribute
-4x-8=24
+8
-4x=32
divide by -4
x=-8
so c
Hope This Helps!!!
Hello.
First, let's use the Distributive Property and distribute -4:
[tex]\mathrm{-4(x+2)=24}[/tex]
[tex]\mathrm{-4x-8=24}[/tex]
Now, add 8 to both sides:
[tex]\mathrm{-4x-8+8=24+8}[/tex]
[tex]\mathrm{-4x=24+8}[/tex]
[tex]\mathrm{-4x=32}[/tex]
Now, divide both sides by -4:
[tex]\Large\boxed{\sf{x=-8}}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Alex has a principal of $2,950 that earns 4% annual interest. What is Alex's balance?
Answers
your answer is 900.00
your welcome
have a good day or night
Answer:
$3068 after 1 year
Step-by-step explanation:
says find the measure of the indicated angle!! pls help!!! marking brainliest and i have to show work!!
Answers
answer:
sin theta=18/21
sin theta ^-1 (18/21)
=58.9972808661
therefore, angle ? = 59°
25% discount off of $350
Original:
Discount:
New price:
Plz help
Answers
I think original price is $350
the discount will be 25% of 350 so it will be 25/100 x 350 to get 87.5 dollars
the new price's percentage is 100% -25% so to get the new price it'll be 75% of 350 to get 262.5 dollars
Please do no fakes or you get banned!
Answers
Answer:
A
Step-by-step explanation:
They are corresponding angles because they are on the same side of the transversal, but one is an interior and one is an exterior angle.
Help pls ❤️❤️❤️ I need help lol
Answers
Answer:
It is impossible to write an 9dd number with even digits.
Just use logic
How can an even numbers pair and become an odd number
Answer:
2/2
Step-by-step explanation:
2/2 simplified equals 1. The 2s are even digits, but when simplfied, they give you 1 (an odd number).
Your car is worth $20,000 but it depreciates at a rate of
12% each year.
Write an equation showing how much your car is worth
each year.
A)f(x) = 20,000 - 12x
B)f(x) = 20,000 - 1.12*
C)f(x) = 20,000 -12%
D)f(x) = 20,000 - 0.88%
Answers
Answer:
D
Step-by-step explanation:
since the car value is decreasing by 12% each year, just take the original amount and multiply by 88% to get the value of the car for the next year, so on and so forth