The diagram shows a circular pond with a path around it . The path has a width of 1m .the pond has a radius of 5m. Work out the area of the path . Give your answer correct to 3 significant figures

Answers

Answer 1

The area of the path if the circular pond with a path around it is 34.557 m²

Circle

Circle is the locus of a point such that its distance from a fixed point known as the center is constant.

The area of the circle (A) with radius r is given by:

A = πr²

Area of the pond with path = π(5m + 1m)² = π(6)² = 113.097 m²

Area of the pond = π(5m)² = π(5)² = 78.54 m²

Area of path = 113.097 m² - 78.54 m² = 34.557 m²

The area of the path if the circular pond with a path around it is 34.557 m²

Find out more on area at: https://brainly.com/question/24375372


Related Questions

I need help with this corresponding parts are congruent figures are congruent?

Answers

Answer:

as it is cpct it means of 2 triangles are congruent then side and angle are equal !!

so HSX congruent to FJR

angle h = angle F

angle S = angle J

angle X = angle R

hence when u apply that sum of all angles is 180 u get

119 + 44 + J = 180

J = 17 there you go

I'll be glad If brainliest

Acme Bicycle charges $5 per day, plus a one-time $85 fee to rent a bicycle. At Omega Bicycle the cost is c= 15m + 25, where m = the number of days the bicycle is rented, and c is the total cost in dollars. Which company will charge less for 5 days of renting a bicycle? How much less?

Answers

Answer:

q

4566 less

Step-by-step explanation:

plese rate as brainlisr awnser

is 37.78 a integer because I need help on ALEKS

Answers

Answer:

No

Step-by-step explanation:

37.78 is a rational number not an integer

The clothing club sold 40 pants and shirts at a new store and made $700 from the sales. They charged $18 for each pants and $14 for each shirt.

If x, represents the number of pants sold and y, represents the number of shirts sold, which system of equations represents the constraints in this situation?

Answers

Answer: The system of equations represents the constraints in this situation are:

s + h = 40

$18s + $14h = $700

The above equations are known as simultaneous equations. 40 scarves and hats were sold, this can be represented with this equation:

number of hats sold + number of scarves sold = 40

s + h = 40

The total amount made from the sales is the sum of the total amount made from the sale of the hats and the total amount made from the sale of the scarves. This can be represented with this equation:

($18 x s) + ($14 x h)  = $700

Step-by-step explanation:

What is the sum of 1.25 + (-⅓) + (-⅞)

Answers

Answer: 0.04166

Step-by-step explanation:

1.25+(-1/3) +(-7/8)

1.25 - 1/3 - 7/8

= -8/24 - 21/24

= -8 - 21/ 24

= -29/24

= 1.25 - 29/24

= 1.25 - 1.20833

= 0.04166

Identify the coefficients, terms, like terms, and constants in
9k + 7 -k + 4 *
I’m. Begging. You.

Answers

[tex]\huge\boxed{\sf{Hello. :D}}[/tex]

The coefficient is a number before a variable.

Here, the coefficient is 9.

The like terms are any terms that have the same variable.

Here, 9k and -k are like terms, and 7 and 4 are like terms as well.

Combine like terms:

8k+3

The constants are: 7 and 4 (Constants are numbers in an expression or equation)

After combining like terms, the constant became

3

[tex]\huge\bold{Hope\;my\;answer\;is\;helpful!}[/tex]

[tex]\rm{StillEnjoyingLife :)[/tex]

which has the same value as 30 tens?​

Answers

Answer:

300

Step-by-step explanation:

What is the measure of the angle ?

Answers

Answer:

Answer → C) 121°

Step-by-step explanation:

» Let the wanted angle be x

[tex]{ \tt{x = 121 \degree}} \\ { \tt{ \{alternate \: angles \}}}[/tex]

factorise 81 - x^2
[tex]81 - x {}^{2} [/tex]

Answers

Answer:

(9 - x) × (9 + x)

Step-by-step explanation:

81 - x^2

= 9^2 - x^2

= (9 - x) × (9 + x)

whats 1837 dived by 6 in long diveson

Answers

Answer:

The answer is

306.1

a large jug contains 9 liters of water. The water is used to fill cups that have a capasity of 150 ml. How many cups can be filled?​

Answers

Answer:

60 cups

Step-by-step explanation:

you convert the 9 to ml (9 = 9000ml: 9000 ÷ 150 = 60) 60 cups

-4<6+5q

what is the answer

Answers

Answer:

-2 < q

Step-by-step explanation:

This is very much similar to solving for q, but since the 'less than' sign is present, instead of putting an ' = ', you will put ' < '.

- 4 < 6 + 5q

- 4 - 6 < 5q

- 10 < 5q

[tex]\frac{-10}{5}[/tex] < q

-2 < q

Or you could reverse it, which will be.

q > -2

The sum of the measures of angle p and angle s is 140°


the measure in degrees of angle p is represented by the expression(5x + 30°)

the measure of angle s is 80°

what is the value of x?

Answers

The sum of the measures of the angles of any triangle is 180 degrees. In triangle abc, angles a and b have the same measure, while the measure of angle c is 78 degrees larger than each of a and b.

-bt/b2-4ac.
8. Use the quadratic formula (x
to solve the following real-world
2a
problem.
Your class is selling boxes of flower seeds as a fundraiser. The total profit
depends on the amount x that your class charges for each box of seeds. The
equation P = -0.5x2 + 25x – 150 models the profit of the fundraiser. What's the
smallest amount, in dollars , that you can charge and make a profit of at least 125
Dollars?

Answers

Answer:

Given the equation

P is the amount of profit made. So willing to find how much x you can charge to make at least 125, you have to equate P with 125 because they are both profits

[tex]125 = - 0.5x^{2} + 25x - 150 \\ 0 = - 0.5x^{2} + 25x - 275[/tex]

Now we are going to introduce Quadratic Formula to find the amount of x

[tex]x = \frac{ - b + or - \sqrt{(b) ^{2} - 4ac } }{2a}

[/tex]

[tex]x = \frac{ - (25) + \sqrt{(25) ^{2} - 4( - 0.5)( - 275) } }{2( - 0.5)} [/tex]

X = 16.33974596

Therefore 16.34 Dollars is the smallest amount you can charge to make the profit of 125 Dollars

Find the arithmetic mean of the data set …
5, 2, 7, 6, 5, 5

PLEASE HELP ME :((

Answers

Answer:

5

Step-by-step explanation:

Step 1: add all the numbers together

5+2+7+6+5+5 = 30

Step 2: take the sum and divide it by the number of intergers you added in the previous step

30/6 = 5

The mean (average) of this data set would be 5

HI Ive been working on these for days please help I know slope formula and I've tried tons of different equations for the other equations and for the graph equation its not -4/3 I already tried just please help

Answers

Answer:

m=33

Step-by-step explanation:

12.95 + (0.25 x m)= 21.20

12.95 + 0.25m= 21.20

0.25m= 21.20-12.95

0.25m=8.25

Divide both side by 0.25

0.25m/0.25=8.25/0.25

m=33

Juanıta has 102 beads to make n necklaces . Each necklace will have 17 beads.

Answers

Hi!

To figure out n, the number of necklaces, we can set up an equation.

[tex]102 = 17n[/tex]

This means that 17 beads per necklace should have a total of 102 beads.

Now, we can solve this equation by isolating the variable.

What we have to do is divide both sides by [tex]17[/tex].

[tex]102/17 = 17n/17[/tex]

[tex]6 = n[/tex]

Therefore, with 102 beads Juanita can made 6 necklaces with 17 beads per necklace.

Choose the numbers to complete the statement about the expression.

8
10
+
2
6


Part A

The numerator in the first fraction is closest to
Choose...
, so the fraction is nearest to
Choose...
.

Part B
The numerator in the second fraction is closest to
Choose...
, so the fraction is nearest to
Choose...
.

Part C
The value of the expression can be estimated as
Choose...
+
Choose...
=
Choose...

Answers

Answer:

1 +  and a half = 1 in a half

Step-by-step explanation:

The numerator in the first fraction is closest to  

10, so the fraction is nearest to  1.

The numerator in the second fraction is closest to 3, so the fraction is nearest to one-half.

The value of the expression can be estimated as 1 +  one-half =  1 and one-half.

witch is the smallest number 1.3 0.13 1.03 0.103 1.3

Answers

Answer:

0.13

Step-by-step explanation:

I say this because it's the only one that is in the ones place

The answer is 0.103 because there is

1 tenth + 0 hundredths + 1 thousandth.

Two teams working together can finish a job in 8 days. If the first team works alone for two days and then the second team works alone for 5 days 5/8 of the total work still remains. How many days would it take each team to finish the work alone? The answer is not 16 and 24. Will award 100 points.

Answers

The answer is 12 days and 24 days.

Explanation attached as picture for reference. Please check.

Answered by Benjemin

PLZ HELP ASAP THIS IS DUE IN AN HOUR

Answers

Answer:

i believe 5 is 216.

Step-by-step explanation:

because the top, (3x2) = 6, and all the sides are equal on the bottom .

so 6 cubed

what transformation will the following equation have from its parent?

Answers

Reflection across the x-axis (because there is a negative)

And

Vertical compression (because a is between 0 and 1)

find value of x rounded to nearest tenth



:)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))

Answers

Answer:

x= 4.1

Step-by-step explanation:

Anna took a taxi from the airport to her house.
She paid a flat fee of $4 plus $2.80 per mile.
The fare came to $60.

Answers

Step-by-step explanation:

60-4 = 56

56 divided by 2.8 = 20 miles

yw

Solve the proportion below. 7/x = 19/144

Answers

Answer:

[tex]\boxed{\boxed{\tt B)\: 42}}[/tex]

Step-by-step explanation:

[tex]\tt \cfrac{7}{x}=\cfrac{19}{114}[/tex]

Cross multiply:

(Multiply the numerator in the first fraction times the denominator in the second fraction, then multiply the numerator of the second fraction times the number in the denominator of your first fraction.)

[tex]\longmapsto\tt 798=x\times \:19[/tex]

Switch sides:

[tex]\longmapsto\tt x\times \:19=798[/tex]

Divide both sides by 19:

[tex]\longmapsto\tt \cfrac{x\times \:19}{19}=\cfrac{798}{19}[/tex]

Divide 798 by 19 = 42

[tex]\longmapsto\tt x=\cfrac{798}{19}[/tex]

[tex]\hookrightarrow \tt x=42[/tex]

______________________________

Answer:

The option B) 42 is the correct answer.

Step-by-step explanation:

Concept :

Here, we will use the below following steps to find a solution using the transposition method:

Step 1 :- we will Identify the variables and constants in the given simple equation.Step 2 :- then we Simplify the equation in LHS and RHS.Step 3 :- Transpose or shift the term on the other side to solve the equation further simplest.Step 4 :- Simplify the equation using arithmetic operation as required that is mentioned in rule 1 or rule 2 of linear equations.Step 5 :- Then the result will be the solution for the given linear equation.

[tex]\begin{gathered}\end{gathered}[/tex]

Question :

Solve the proportion below.

[tex]{\implies{\sf{\dfrac{7}{x} = \dfrac{19}{114}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Solution :

[tex]{\implies{\sf{\dfrac{7}{x} = \dfrac{19}{114}}}}[/tex]

[tex]{\implies{\sf{19 \times x = 114 \times 7}}}[/tex]

[tex]{\implies{\sf{19x = 798}}}[/tex]

[tex]{\implies{\sf{x = \dfrac{798}{19}}}}[/tex]

[tex]{\implies{\sf{x = \cancel{\dfrac{798}{19}}}}}[/tex]

[tex]{\implies{\sf{x = 42}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{x = 42}}}}}[/tex]

Hence, the value of x is 42.

[tex] \rule{300}{2.5}[/tex]

During a sale, a dress is marked down from a selling price of $60 to a sale price of $48. What is the percent markdown? Help

Answers

48/60 = 4/5 = 80%

sale is 20%

4
58°
90°
32°
6
5
Find the measure of exterior angle #6
148
122
90
58

Answers

Answer:

The measure of exterior angle is 6 is 122

A school group is going on a trip to a museum. Admission is $10 per student. Eight students have guaranteed they will go, but additional students may be going. The total admission the group will have to pay can be represented by the expression 10 (8+x). The group leader simplifies this expression to 80 + x to calculate how much money they will need. Is this correct? If 6 additional students go, will they have enough money to cover the admission cost?

Answers

At is incorrect  also they would not have enough money

Step-by-step explanation:

Answer:

It is simplified incorrectly and they will need more money.

Step-by-step explanation:

1.  To simplify 10 (8 + x), multiply 8 by 10 and x by 10. You should get 80 + 10x.

2.  I didn't fully work it out, sorry :( but I know they wouldn't have enough.

Which are points on the graph of y = 1. 5 ⌈x⌉? Select three options (–4. 5, –2. 5) (–0. 8, 0. 5) (7. 9, 9. 5) (4. 5, 6) (1. 3, 3. 5).

Answers

To check which point is lying on the given graph, we can just put the values in the equation in input x, and see if y comes out same as that specified y ordinate of the given point.

The points that lie on the graph of y = 1. 5 ⌈x⌉ are:

(–4. 5, –2. 5), (7. 9, 9. 5) and (1. 3, 3. 5)

Given that:

The graph is of y = 1. 5 + ⌈x⌉

Evaluating output for all points' abscissa:Point (-4.5, -2.5):

Putting x = -4.5, we get:

[tex]y = 1.5 + \lceil{x}\rceil\\y = 1.5 + \lceil -4.5 \rceil\\y = 1.5 + -4 = -2.5[/tex]

The specified point too has y ordinate as -2.5, thus, this point lies on the graph of given function.

Point (0.8, 0.5):

Putting x = 0.8, we get:

[tex]y = 1.5 + \lceil{x}\rceil\\y = 1.5 + \lceil 0.8 \rceil\\y = 1.5 + 1 = 2.5[/tex]

But specified point's y ordinate is 0.5, thus, this point doesn't lie on the graph of given function.

Point (7.9, 9.5):

Putting x = 7.9, we get:

[tex]y = 1.5 + \lceil{x}\rceil\\y = 1.5 + \lceil 7.9 \rceil\\y = 1.5 + 8 = 9.5[/tex]

The specified point too has y ordinate as 9.5, thus, this point lies on the graph of given function.

Point (4.5, 6):

Putting x = 4.5, we get:

[tex]y = 1.5 + \lceil{x}\rceil\\y = 1.5 + \lceil 4.5 \rceil\\y = 1.5 + 5 = 6.5[/tex]

But specified point's y ordinate is 6, thus, this point doesn't lie on the graph of given function.

Point (1.3, 3.5):

Putting x = 1.3, we get:

[tex]y = 1.5 + \lceil{x}\rceil\\y = 1.5 + \lceil 1.3 \rceil\\y = 1.5 + 2 = 3.5[/tex]

The y ordinate of given point too is 3.5, thus, this point lies on the graph of given function.

Thus, the points (–4. 5, –2. 5), (7. 9, 9. 5), (1. 3, 3. 5) lie on the given graph.

Learn more about points lying on graph here:

https://brainly.com/question/341890

A solid metal sphere of radius 9 is melted and transformed into 3 identical spheres. What is the ratio of the surface area of one of these spheres to the surface area of the original sphere?

Answers

Answer:

[tex]243^{2/3}:324[/tex] or approximately 0.481

Step-by-step explanation:

Volume of a sphere: 4/3πr³

Surface area of a sphere: 4πr²

The initial sphere of radius 9 has a volume of [tex]\displaystyle\\9^3\cdot \frac{4}{3}\cdot \pi=972\pi[/tex]

When melted into three identical spheres, each must have a volume of [tex]\displaystyle \frac{972\pi}{3}=324\pi[/tex]

The radius of the smaller spheres must be:

[tex]\frac{4}{3}\pi r_s^3=324\pi \implies r_s=\sqrt[3]{243}\approx 6.24[/tex]

Surface area of each smaller sphere:

[tex]\displaystyle \\4\pi r^2\vert_{r=6.24}\approx 155.76\pi[/tex]

Surface area of initial sphere:

[tex]\displaystyle \\4\pi r^2\vert_{r=9}\approx 324\pi[/tex]

The desired ratio is [tex]155.76/324\approx \boxed{0.481}[/tex]

Exact: [tex]243^{2/3}:324[/tex]

Answer:

The ratio is 1 to 2  

Step-by-step explanation:

Volume of the original sphere is ≈ 3,053.63 units³

The surface area of the original sphere is ≈ 1,017.88 units²

Volume of one of the small sphere is ≈ 1,017.88 units³

The radius of one of the small sphere is ≈ 6.24 units

The surface area of one of the small sphere is ≈ 489.3 units²

The ratio of the surface area of one of the small sphere to the surface area of the original sphere is

[tex]\frac{489.3}{1017.88}[/tex] ≈ [tex]\frac{1}{2}[/tex]

489.3 / 1017.88 ≈ 1 / 2  

The ratio is 1 to 2

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