A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.
What is the approximate area of the paved walkway?
Answers
Given:
Outer diameter = D = 80 ftInner diameter = d = 40 ftSo,
Outer radius = R = D/2
=> R = (80 ft)/2
=> R = 40 ft
Inner radius = r = d/2
=> r = (40 ft)/2
=> r = 20 ft
Area of paved pathway = πR² - πr²
= π(R² - r²)
= π(R + r)(R - r)
= π(40 + 20)(40 - 20) ft²
= π(60)(20) ft²
= 3.14 * 1200 ft²
= 3768 ft²
Related Questions
Please help giving BRAINLYEST and TONS of points
Answers
Answer:
A, 2π/3
Step-by-step explanation:
First eliminate the √5 from the equation,
we get (4π - 2π) / 3,
then simply we can get the answer of 2π/3 which is A
Here are the percents of the popular vote won by each successful candidate in 15 presidential elections. 49.6, 55.1, 57.4, 49.7, 61.1, 43.4, 60.7, 50.1, 50.7, 58.8, 53.9, 43.2, 49.2, 47.9, 51.2 what is the maximum
Answers
Answer:
Maximum = 61.1
Step-by-step explanation:
Given - Here are the percents of the popular vote won by each successful candidate in 15 presidential elections. 49.6, 55.1, 57.4, 49.7, 61.1, 43.4, 60.7, 50.1, 50.7, 58.8, 53.9, 43.2, 49.2, 47.9, 51.2
To find - What is the maximum ?
Proof -
We have to find which candidate got highest votes in the election .
For this, we first arrange all 15 in ascending order i.e. lowest to highest.
Now,
The arrangement is like this -
43.2,
43.4,
47.9,
49.2,
49.6,
49.7
50.1,
50.7,
51.2,
53.9,
55.1,
57.4,
58.8,
60.7,
61.1
From this , we get
Lowest votes = 43.2
Highest votes = 61.1
⇒Maximum = 61.1
Simplify the expression.
ab4c7
a3bc5
b[?]
Ic
al
Answers
Answer:
b^3c^2/a^3
Step-by-step explanation:
Answer:
[tex]\frac{b^{3}c^{2} }{a^{2} }[/tex]
Step-by-step explanation:
Team A and team B play in a competition Team A has 12 more points than team B Team A has twice as many points as team B How many points does each team have
Answers
Answer:
A = 24 points
B = 12 Points
Step-by-step explanation:
Team A and team B play in a competition
Team A has 12 more points than team B
A = B + 12
Team A has twice as many points as team B
A = 2B
We substitute
2B = B + 12
2B - B = 12
B = 12 points
Solving for A
A = 2B
A = 2 × 12
A = 24 points
How much larger is the circumference of circle A than the circumference of circle B?
Give your answer to one decimal place.
diameter of circle A is 13 and B is 8
Answers
Answer:
Circumference of Circle A is about 16 units larger than the Circumference of Circle B
Step-by-step explanation:
Formula for Circumference of a circle = πd
Where, d = diameter of circle
Thus:
Circle A diameter = 13
Circle B diameter = 8
Therefore:
Circumference of Circle A = π*13 = 40.8407045 ≈ 41 unit (nearest whole number)
Circumference of Circle B = π*8 = 25.1327412 ≈ 25 unit (nearest whole number)
✔️Difference between circumference of Circle A and Circle B = 41 - 25 = 16
Therefore the Circumference of Circle A is about 16 units larger than the Circumference of Circle B
There is a 0.9987 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $186 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below.
Answers
Parts a through c is missing and it is;
a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?
The value corresponding to surviving the year is $_____.
The value corresponding to not surviving the year is $_____.
b) If the 33-year-old male purchases the policy, what is his expected value?
The expected value is $_____.
c) Can the insurance company expect to make a profit from many such policies? Why?
_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.
Answer:
A) the value that corresponds to surviving the year = - $186
The value corresponding to not surviving the year = $99814
B) μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
Step-by-step explanation:
A) The company charges $186 for insuring. Thus;
Amount paid out = - $186
Therefore, the value that corresponds to surviving the year = - $186
Therefore, the value corresponding to not surviving the year = $100000 - $186
The value corresponding to not surviving the year = $99814
B) since probability that a 31 year old male survives is 0.9987, then;
Probability that a male doesn't survive is;
P(doesn't survive) = 1 - 0.9987
P(doesn't survive) = 0.0013
The expected value is calculated from;
μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)
μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
Justin went out to lunch. His bill was $3.18. If he gave the waitress $10.00, how much change should he receive? A. $7.82 B. $5.82 C. $6.82 D.
Answers
Question 1 of 10
sin = 20/29
find tan 0
Answers
Step-by-step explanation:
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
Cutt/ly.627929
HELP PLEASEEEEEEEEE
Answers
What is the area of the trapezoid?
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 440 ft^2
Explanation:
I hope this helped!
<!> Brainliest is appreciated! <!>
- Zack Slocum
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer:
488
Step-by-step explanation:
first,you have to add both of the bases.
39+17=56
then, you have to divide it by 2
56÷2=28
lastly, you have to multiply it by the height
28×16=448
hope this helps
Yvonne had 15 hair accessories and gave away 5. Then she went to the
store and found a great deal which allowed her to buy two for the price of
one. She picked up 8 new accessories. How many does she have now?
Answers
15 - 5 + 8 = 18
Answer:18
Step-by-step explanation:
So you subtract 5 from 15 then add 8
the product of two consecutive integers is 120. write an equation to find the integers.
Answers
Answer:
The consecutive even integers are
n
n + 2
n(n + 2) = 120
n2 + 2n - 120 = 0
(n + 12)(n - 10) = 0
n = -12 or 10
Step-by-step explanation:
There are 2 solutions:
n = -12
n + 2 = -10
and
n = 10
n + 2 = 12
Everyone learns differently. Some people like to use tools to help them learn math concepts. For others, reading about a concept or watching a video or animation helps them. Many people like to use a combination of these strategies.
HELPP
Answers
Answer:
Is that a question or answer if it is an answer it's very good.
If the number of hours you hours you work is proportional to the amount of money you earn per hour, which og tye following statements is true?
Answers
Answer:
it should be a
Step-by-step explanation:
if you work for $10 an hour, and work for 2 hours, you make $20 but if you double the hours worked, so 4 hours, you make $40, which is double the hours, and double the money
Help me with this please!!!!
Answers
Answer:
yes
Step-by-step explanation:
it said it is a perpendicular BISECTOR, H is the mid point of KI, HK = 7
[tex]\huge{\underline{\underline{\boxed{\sf{\red{Answer࿐}}}}}}[/tex]
Yes!JUST PLEASE HURRY WITH THIS
Answers
find the value of angle ABC A(3x)B(x+4) C 110
A 30.5 degrees
B 60 degrees
C 80.5 degrees
D 121.5 degrees
Answers
( -3,12),(14,6) slope
Answers
Answer:
Slope is -6/17
Step-by-step explanation:
( -3,12) ,(14,6)
m= (y2-y1)/(x2-x1)
m= (6 - 12)/(14 + 3)
m = (-6)/ 17
m = -6/17
11 cm
15 cm
17 cm
=??
Answers
Answer:
82,5
Step-by-step explanation:
[tex] \frac{1}{2} b \times h[/tex]
[tex] \frac{1}{2} 11 \times 15[/tex]
Can anyone explain to me what to do here? Cause I don't see any figure beside it ;-;
Answers
Step-by-step explanation:
Hi,
So this might be telling you the letters of the angles eg: an angle that has the letter next to it like PKS is an acute angle so you put that in the first column and find an obtuse and right angle and put all the letters of the angle in that column and then ask me what to do next when you have done !
Hope this helps you :)
This app is helpful u just need to ask a question in ur homework atleast wait for 5-6 mins and they would answer ur question u can ask for any subject and grade!
I hope u understand now
A container of chocalates has a ratio of dark to milk chocolates of 3 to 5. If you have 18 dark chocolates, then how many milk chocolates do you have?
Answers
Answer:
30 milk chocolates
Step-by-step explanation:
We can set up the equation like this: 3*x=18
So we can solve that by 18/3 = 6
Now the mile chocolates are 5x, so if you multiply 5 by 6, you get 30
Christine has $90 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 3 years?
Answers
Answer: $13.5
Step-by-step explanation:
90 x 5% = 4.5 x 3 = 13.5
plsss help i’ll give brainliest if you give a correct answer
Answers
Answer:
(-2) and 3 and (-4)
Step-by-step explanation:
Answer:
1, 3, and 4
OR
A, C, and D
Step-by-step explanation:
The inequality is f is LESS THAN 4.
-2 is less than 4
7 is GREATER than 4 so this is incorrect
3 is less than 4
-4 is less than 4
Some boys and girls are waiting for school buses. 25 girls get on the first bus. The ratio of boys to girls at the stop is now 3 : 2.
15 boys get on the second bus. There are now the same number of boys and girls at the bus stop.
How many students were originally at the bus stop?
Answers
Answer:
Step-by-step explanation:
who cares about SOME boys and girls
a salesman earns 40% commission on all the merchandise that he sells. Last month he sold $600 worth of merchandise. How much in commission (in dollars) did he earn last month?
Answers
Answer:
should be 240 in commission, 840 in total.
EXPLANATION:
if he gets 40% commision,
this means he gets 40% of how much he sells.
So, 40% of what he sold, (600) is 240.
HAVE A GOOD DAY
A rectangle has a length of (x + 3) centimeters and a width of image x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle? A. 9 cm B. 3 cm C. 14 cm D. 7 cm PLEASE HELP WILL MARK BRAINLIEST.
Answers
Answer:
The length of the rectangle is 9 cm.
Step-by-step explanation:
Given: The length of rectangle(l) = (x+3) cm and a width of rectangle (w) = cm a
Also, perimeter of rectangle is 24 cm.
Perimeter of rectangle is to add the lengths of all the four sides.
Perimeter of rectangle (P) is given by;
P=2(l+w)
Substituting the value of P = 24 cm , l = (x+3) cm and w =
then,
Divide by 2 both sides of an equation;
Combine like terms;
Subtract 3 from both the sides we get;
Simplify:
Multiply both sides by we get
Therefore, length of rectangle(l) = (x+3) = 6+3 = 9 cm
David has earned the following test
grades: 89, 96, 99, 85. What is the
grade David has to earn on his 5th test to maintain a test
average of 90?
Answers
Answer:
81
Step-by-step explanation:
Required average= 90
let the required grade be x
Average= Sum of n numbers
90= 89+96+99+85+x divide by 5
450= 369+x
x = 450-369
x=81
i need help please and thank you
Answers
Answer:
x = 18.45
Step-by-step explanation:
Given that,
Chipper Jones get paid = [tex]1.23\times 10^6[/tex]
Alex get paid = [tex]2.27\times 10^7[/tex]
Let Alex get x times paid than chipper i.e.
[tex]{x}=\dfrac{A}{C}\\\\x=\dfrac{2.27\times 10^7}{1.23\times 10^6}\\\\x=18.45[/tex]
Hence, Alex gets paid 18.45 times than the Chipper.
LOOK I really new help on this I will give u cash for it just give me your cash app or Venmo please help this is so many points
question
(60-5.8) ÷ 5 - 3^2
can you please explain it in an essay type like words and not just show me the answer I need it to show me how you got the answer don't give me just the answer
Answers
Answer:
1.84
Step-by-step explanation:
First you solve what is in the parenthesis.
60 - 5.8 = 54.2
The equation is now 54.2 ÷ 5 - 3^2
Now, you do the exponents. 3^2 = 9 since 3 to the second power is just another way to write 3 x 3.
Your equation is now 54.2 ÷ 5 - 9
You then divide 54.2 ÷ 5
54.2 ÷ 5 = 10.84
The last equation is 10.84 - 9
10.84 - 9 = 1.84
Answer:
Answer 1.84.
Step-by-step explanation:
The first person's answer and explanation is correct.
Find the surface area of a basketball with a diameter of 10 in.
25π in²
10π in²
100π in²
400π in²
Answers
Answer:
100π in²
Step-by-step explanation:
i just took the test :)
The surface area of the ball is 100π square inches. The correct option is C.
How to calculate the surface area of a sphere?The formula for the surface area of a sphere is:
Surface Area = 4πr²
Where r is the radius of the sphere.
Since the basketball has a diameter of 10 in, the radius is half of that, which is 5 in.
Substituting the radius into the formula, we get:
Surface Area = 4π(5²)
Surface Area = 4π(25)
Surface Area = 100π
Therefore, the surface area of the basketball is 100π in².
So the surface area is 100π in².
To know more about surface area of the sphere follow
https://brainly.com/question/14692728
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