The perimeter of a circular garden is 440m. A path 1.4m runs inside the park. find the cost of gravelling the path at the rate of Rs.100 per square meter.​

Answers

Answer 1

Answer:

Cost = Rs. 6095.95

Step-by-step explanation:

We are given the perimeter as 440m.

Mow,perimeter of a circle is also called circumference.

Formula for circumference of a circle is;

C = 2πR

Thus:

2πR = 440

R = 440/2π

R = 70 m

We are told that A path 1.4m runs inside the park. Thus radius of smaller circle: r = 70 - 1.4 = 68.6 m

Area of larger circle: A1 = πR² = π(70²)

A1 = 4900π

Area of smaller circle: A2 = πr² = π(68.6²)

A2 = 4705.96π

Area of path = A1 - A2

Area of path = 4900π - 4705.96π

Area of path = 194.04π Sq.m

We want to find the cost of gravelling the path at the rate of Rs.100 per square meter.

Thus;

Cost = 100 × 194.04π

Cost = Rs. 6095.95


Related Questions

I need help it’s for math!!!

Answers

Answer:

anybody agree that its c

Step-by-step explanation:

At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work. At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work. At the local gas station, gasoline costs $2.75 per gallon and diesel fuel costs $3.02 per gallon. Gabriel needs to purchase 15.2 gallons of gasoline for his truck, and 9.5 gallons of diesel fuel for his tractor. What is the total Gabriel will spend on gasoline and diesel fuel? Show your work.

Answers

Answer: $70.49

Step-by-step explanation:

Cost of gasoline = $2.75 per gallon

Cost of diesel fuel = $3.02 per gallon.

Since Gabriel needs to purchase 15.2 gallons of gasoline for his truck, the amount spent on gasoline will be:

= 15.2 × $2.75

= $41.80

Since he needs to spend 9.5 gallons of diesel fuel for his tractor, the amount spent on diesel fuel will be:

= 9.5 × $3.02

= $28.69

Total cost spent will be:

= $41.80 + $28.69

= $70.49

The table shows the number of wins and losses for four hockey teams.
Which two teams have the same ratio of wins to losses?
(pls help!)
Lightning and Thunder
Wolves and Eagles
Thunder and Wolves
Eagles and Lightning

Answers

Answer:

Thunder and Wolves

Step-by-step explanation:

If its right can I get Brainllest? Please

Hi!!! People have been giving out points all day and i thought i would have a turn!! (30 points) I’ll give the crown to whoever is nicest in their answer!!! Happy holidays :)

Answers

Answer:

hi, hope you are good!, hope you have the greatst holidays ever!

Step-by-step explanation:

Answer:

aww thank you, u are too kind :) I appreciate that u are generous enough to give free points to people, I thank you for your generosity. Happy holidays and stay safe <333

Step-by-step explanation:

You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that represents how many minutes you can spend the problem.
a.) 10x ≥ 20, x ≥ 2
b.) 20x ≥ 10, x ≥ 1/2
c.) 20x ≤ 10, x ≤ 1/2
d.) 10x ≤ 20, x ≤ 2

Answers

pretty sure its d because x= problems and the other number is time

Find the x-intercept:
- 4x = 3y - 12

Answers

Answer:

I think the answer is x=-3/4y+3. I hope this helps:)

Step-by-step explanation:

URGENT HELP!!!
what is the slope of this table?

Answers

Answer:

sorry i wish i could help but i can't understand that

Step-by-step explanation:

Answer:

y=-3x+1

Step-by-step explanation:

your welcome

ab(a²-b²)

can somebody solve this for me.

Answers

Answer:

a³b - ab³

Step-by-step explanation:

Given

ab(a² - b²) ← distribute parenthesis by ab

= a³b - ab³

a mother is five times old as her daughter. in 6 years, the mother will be three times as old as her daughter. how old is each now

Answers

Answer:

30,6

Step-by-step explanation:

Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x

Answers

Answer:

[tex]x < 80000[/tex]

Step-by-step explanation:

[tex]3600 + 1.02x < 2000 + 1.04x \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x < \: \: \: \: \: \: \: \: \: \: \: \: \: - 1.04x}{3600 - 0.02x < 2000} \\ \\ 3600 - 0.02x < 2000 \\ \frac{ - 3600 \: \: \: \: \: \: \: \: \: < - 3600}{ - 0.02x < - 1600} \\ \\ \frac{ - 0.02x}{ - 0.02} < \frac{ - 1600}{ - 0.02} \\ \\ x < 80000[/tex]

what is the answer to this equation |x + 1| = 6

Answers

wait homfdgjhgbjhfb

How many different ways can you write a ratio?

Answers

Answer:

3 different ways

Step-by-step explanation:

Answer:

3 different ways

Step-by-step explanation:

hope this helps

example of the diffrent way to write a ratio :

5 to 10

5 : 10

[tex]\frac{5}{10}[/tex]

Which ordered pair is a solution of the equation y+1=3(x-4)

Answers

Step-by-step explanation:

When x = 4 and y = -1,

(-1) + 1 = 3(4 - 4) = 0.

Hence (4, -1) is an ordered pair.

When x = 5 and y = 2,

(2) + 1 = 3(5 - 4) = 3.

Hence (5, 2) is an ordered pair.

Therefore the answer is C.

PLEASEEEEEE HELPPPPP!

Answers

Answer:

2

Step-by-step explanation:

option 2 !! :)) , have a wonderful day

7


Find the value of the expression. Z + 2y for y = 6 and z = 1​

Answers

Answer:

13

Step-by-step explanation:

1+2×6=13

boy!!!!!!!!!!!!!!

If each container holds 2 L 255 mL of water, how much water would be in 609 identical
containers? Find the difference between the two numbers, then explain how you got
your answer (which strategy you used and how you knew that one would work).

Answers

Answer:

one cup is bigger

Step-by-step explanation:

Write an equation for the line parallel to the given line that contains C.
C(2,8); y = - 2x + 1
y =

Answers

Okay!

Whenever a line is parallel to another, that means they ALWAYS have the same slope!

So the slope of our new line is -2 as well !

Now let's use point C (2, 8) to find the y-intercept!

This is easy! All we need to do is plug the point in our new equation!

Remember that in point C, 2 = x    and 8 = y

Time to plug in all these numbers in y = mx + b

8 = -2 (2) + y intercept

→ the 8 is in the y's place

→the -2 is in the slope place

→2 is in the x place

Now we solve for the y-intercept using basic math!

8 = -2(2) + y-intercept

8 = -4 + y-intercept

8 + 4 = y-intercept

We did it! We found the y-intercept

The y-intercept is 12!

Now let's create our final equation ...

y = -2x + 12

What is the check digit, d, for the credit card number shown below?
6424 9813 2720 008d
А. 1
B. 3
с. 5
D. 7

Answers

Answer:

A.1

Step-by-step explanation:

I did a check digit calculator and it said that this would be the check digit

The check digit is 1.

Step-by-step explanation:

The check digit on credit is calculated by the following step:

Mark each digit odd and even from the right side.Now multiply each digit at an even place with '2'.And if the number after multiplication is double-digit then add both the digit to obtain a single digit.Now add all the digits obtained in the previous step along with digits at odd places.To this sum obtained check by adding what digit it becomes next multiple of '10'.And that digit will be our check digit.

Given:

The creditcard number: 6424 9813 2720 008d

To find :

Check digit,d

Solution:

6424 9813 2720 008d

Marking odd and even places from right side:

(e:even place,o:odd place)

e,o,e,o     e,o,e,o     e,o,e,o     e,o,e,o

6 4 2 4     9 8 1 3     2 7 2 0     0 0 8 d

Multipling every even place digit with '2'.

12,4,18,2,4,4,0,16

If two digit number then add both digits to have single digit

12,4,18,2,4,4,0,16 → 1+2,4,1+8,2,4,4,0,1+6 → 3,4,9,2,4,4,0,7

Now adding all the digits obtained in prevoius step with digits at odd place:

(3+4+9+2+4+4+0+7)+(4+4+8+3+7+0+0)= 59

The next multiply of 10 can be obtained by adding 1 to '59' that is 60. So, the check digit will be'1'.

59+1 = 60

(60 is a multiple of the number '10'.)

The check digit is 1.

Learn more check digit here:

brainly.com/question/23944800?referrer=searchResults

Please answer quickly and show work. (If you show work you get brainliest)

Answers

tip: decimal to percentage is easy. 0.78 would be 78%. percentage would be vice versa 39% is 0.39. decimal or percentage to fraction is easy aswell, make the number out of 100, meaning 39% would be 39/100

Can someone please help with this questions?
If I fail this test I will not pass this class
Please help as fast as possible!!
Please

Answers

Answer:

5a. ΔGKM ~ ΔSPM by SAS

b. ΔABC is not similar to ΔDEF

6. The missing side is 2[tex]\sqrt{11}[/tex]

Step-by-step explanation:

5a. Yes, the triangles are similar.

<KMG ≅ <PMS (vertically opposite angles)

      ΔGKM ~ ΔSPM by SAS

Ratio: GM:SM OR KM:PM

             3:6    OR  2:4

             1:2     OR  1:2

Ratio: 1:2

b. No, the triangles are not similar

   ΔABC is not similar to ΔDEF

Ratio: AC:DF OR AB:DE

         4:6       OR  2:4.5

         1:1.5      ≠     1:2.25

   Ratio: not similar

6. let the missing side of the triangle be represented by x. Since the triangle is a right angled triangle, then applying the Pythagoras theorem we have;

[tex]/hyp/^{2}[/tex] = [tex]/adj 1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]

[tex]/12/^{2}[/tex] = [tex]x^{2}[/tex] + [tex]/10/^{2}[/tex]

144 = [tex]x^{2}[/tex] + 100

[tex]x^{2}[/tex] = 144 - 100

   = 44

x = [tex]\sqrt{44}[/tex]

  = [tex]\sqrt{4 *11}[/tex]

  = 2[tex]\sqrt{11}[/tex]

x = 2[tex]\sqrt{11}[/tex]

The missing side is 2[tex]\sqrt{11}[/tex].

 

What 3/4 x 5/8 in fraction

Answers

Answer: Hi! 15/32, I think!

Answer:

15/32

Step-by-step explanation:

If Danny gains 40 yards on the football field and then looses 15, What was the end result?

Answers

Answer:

25 yards

Step-by-step explanation:

Subtract 15 from 40.

Hope this helped :)

Answer:

25 yards

Step-by-step explanation:

Arithmetics

Imagine a straight line divided into 1-yard marks.

Danny runs for 40 marks and locates at mark 40.

He later loses 15 yards and his new position is 40 - 15 = 25 yards

Therefore, the end result is that Danny is at the 25-yard mark.

Anna is plotting points for a rectangle in the coordinate plane. She plots (4, -3), (4, 0), and (-2, 0). Which could be the coordinate pair that Anna plots in the third quadrant?
a) (2,3)
b) (-2,3)
c) (2,-3)
d) (-2,-3)

Answers

the answer is d, because if you plot all the other coordinates, you need to plot a point in (-2,3) to get a straight rectangle.

The polynomial x^4+px^3+qx^2+rx+6 is exactly divisible by each of (x-1), (x-2) and (x-3).
Find the values of p, q and r.

Answers

The remainder theorem says that a polynomial f(x) has a remainder of f(c) upon getting divided by x - c. So if

f(x) = x⁴ + p x³ + q x² + r x + 6

is divisible by x - 1, x - 2, and x - 3, then we have

f (1) = 7 + p + q + r = 0

f (2) = 22 + 8p + 4q + 2r = 0

f (3) = 87 + 27p + 9q + 3r = 0

Solve the system for p, q, r. You can eliminate r by substituting the first equation into the other two:

p + q + r = -7

8p + 4q + 2r = -22   →   6p + 2q - 14 = -22   →   3p + q = -4

27p + 9q + 3r = -87   →   24p + 6q - 21 = -87   →   4p + q = -11

Eliminate q by adding (-1) times the first equation to the second one, then solve for p :

- (3p + q) + (4p + q) = - (-4) + (-11)

-3p - q + 4p + q = 4 - 11

p = -7

Solve for q :

3p + q = -4   →   3 (-7) + q = -4   →   q = 17

Solve for r :

p + q + r = -7   →   -7 + 17 + r = -7   →   r = -17

what s the answer giving brainliest hehe

Answers

Answer: B.

Step-by-step explanation: B is the only option that provides the division symbol.

Which best explains why you can use multiplication to solve equations involving division?

A. Multiplication is easier to do than division.

B. Multiplication involves the same facts as division.

C. Multiplication is the inverse operation of division so it can undo division.

D. Multiplication involves commutative Property so it can undo division.

Answers

Answer:

C

Step-by-step explanation:

Dino's Dinosaur rental has two packages for renting a dinosaur costume.
Package #1: $50 initially to reserve the costume and $10 per hour to use the costume
Package #2: $35 initially to reserve the costume and $15 per hour to use the costume

Answers

Answer:

90$ all together

Step-by-step explanation:

please help, i will give BRAINLIEST. Write an expression in the simplest form to model the perimeter of the following triangle:

Answers

Answer: Original expression:  2x - 11 + 4x + 7 + 3(x-4)

Simplified: 9x - 16

Step-by-step explanation:

2x - 11 + 4x + 7 + 3(x-4) becomes 2x - 11 + 4x + 7 + 3x -12

Group like terms, then combine to simplify:

2x + 4x + 3x -11 + 7 - 12

2x + 4x + 3x = 9x  

-11 -12 + 7 = =23+7= -16

Simplified expression: 9x  - 16

Find the volume of a rectangular prism with the width of x-1, a length of x+1 and a height of 2x-3.

Answers

Answer:

The Volume is equal to 2x^3-3x^2+2x-3

Step-by-step explanation:

Formula for the volume of a rectangular prism is V=WHL

We know that:

W=x-1

L=x+1

H=2x-3

So, V= (x-1)(x-1)(2x-3)

Simplify

(x^2+1)(2x-3)

2x^3-3x^2+2x-3

Answer:

Answer given in the photo

What is the value of k^16 - 16^k, if x = 13^2 * 15^4 * 17^6 * 19^8 and is a multiple of 16^k, where k is a whole number?

Note: ^ means to the power of

Answers

Answer:

I tried but I kept getting weird numbers

Step-by-step explanation:

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