A school has a track that is made up of a rectangle with two semicircles at each end, as pictured. The perimeter of the track, P, is 395 m. The rectangular part of the track will be covered with grass. The grass comes in pieces that each have an area of 1.35 square metres. Determine the minimum number of pieces of grass required to cover the rectangular part of the track.

A School Has A Track That Is Made Up Of A Rectangle With Two Semicircles At Each End, As Pictured. The

Answers

Answer 1

Answer:

4502 pieces of grass

Step-by-step explanation:

The radius of the semicircle is 36 meters, so its perimeter is:

Perimeter = pi * radius = 113.097 m

The perimeter of both semicircles is 2 * 113.097 = 226.194 m

So if the total perimeter is 395, the length of the rectangle is:

395 = 226.194 + 2*length

2*length = 168.8

length = 84.4 m

The width of the rectangle is 2 times the radius of the semicircle, so:

width = 2 * 36 = 72 m

Then the area of the rectangle is:

Area = length * width = 84.4 * 72 = 6076.8 m2

To find the number of grass pieces, we divide the rectangle area by the grass piece area:

number of pieces = 6076.8 / 1.35 = 4501.33 pieces

So we will need 4502 pieces to cover the rectangular area.


Related Questions

William just purchased a residential investment property for $225,000. William is 60, married, and will not occupy the property. Will this new property qualify for a homestead exemption?

Answers

No, because he has to reside on the property to qualify for a homestead exemption.

What is the value of n ?

Answers

Answer:

Your answer would be the letter a

Answer:

Step-by-step explanation:

180 -133 = 47

180-142=38

38+47= 85

180 - 85 = 95

180 - 95= 85

The answer is A

Here is a sequence of patterns made from dots.
Find an expression, in terms of n, for the number of dots in Pattern number n.

Answers

Answer:

Hello

I think this is the answer: 3n+ n or 4n

And for fourth is 16 and fifth is 20

Step-by-step explanation:

Please help!!!!!!!!!!!!!!!

Answers

Answer:

C

Step-by-step explanation:

[tex]12x\sqrt{900x^2y^4z^6}= \\\\12x\sqrt{30^2x^2(y^2)^2(z^3)^2}= \\\\12x(30xy^2z^3)= \\\\360x^2y^2z^3[/tex]

Therefore, the correct answer is choice C. Hope this helps!!

can someone plzz help​

Answers

Answer:

it's 12 because

2×6=12

3×4=12

4×3=12

and all of them have twelve

Answer:

it's 12 because

Step-by-step explanation:

2×6=12

3×4=12

4×3=12

all of and  them have twelve

this is actually a question but shhhhh, just copy it and youll get points....Drag each description to the correct location on the table. Each description can be used more than once.

Classify each polynomial based on its degree and number of terms.

cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial

Answers

You already did it though.

The answer is what you got

cubiccubicquarticquarticquinticquinticquadraticquadraticlinearlinearmonomialmonomialmonomialbinomialbinomialbinomialtrinomialtrinomial

Find the sum of the sequence: 108, 105, 102,...,15

Answers

Answer:

1968

Step-by-step explanation:

The given sequence is a finite arithmetic sequence.

Step 1: Determine the number of terms in the sequence

For an arithmetic sequence, the nth term:

A(n)=a+(n-1)d

In the sequence:

First term, a=108Last term, l=15Common difference, d=105-108= -3

Therefore, to find which term the number 15 is, we have:

15=108+(n-1)(-3)

15=108-3n+3

15=111-3n

3n=111-15

3n=96

Number of terms in the sequence, n=32

Step 2: Find the sum of the sequence

For an arithmetic sequence with a given first and last term:

[tex]Sum, S(n)=\frac{n}{2}(a+l)\\ =\frac{32}{2}(108+15)\\=16*123\\$Sum of the sequence, S(n)=1968[/tex]

a square scarf has a side length of 3/4 yard on each side what is the area of the scarf??

Answers

Answer:

3 unit

Step-by-step explanation:

3/4 x 4 = 12/4 = 3

Answer:

its 3-

Step-by-step explanation:

but i need it in fraction--

do prisms need to have rectangular or triangular bases?

Answers

Answer: Boths

Step-by-step explanation:

If the cost price of 10 chairs equal to the selling price of 16 chairs. Find the profit or loss percent please.

Answers

Answer:

The answer should be 37.5%

Step-by-step explanation:

Olivia is working two summer jobs, making $7 per hour walking dogs and making $15 per hour tutoring. In a given week, she can work a maximum of 18 total hours and must earn no less than $180. If x represents the number of hours walking dogs and y represents the number of hours tutoring, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

x= 11.25  y=6.75

Step-by-step explanation:

we will present all of that to equations so we have

7x+15y=180

and x+y=18

by solving those 2 equations together we get the solution

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz, what is its wavelength?

Answers

The wavelength of the light wave is approximately 729.94 meters.

What is the speed of light?

The speed of light is regarded as a fundamental natural constant. Its relevance extends well beyond its role in characterizing an electromagnetic wave characteristic.

The speed of light is a constant, and it is equal to the product of the frequency of a light wave and its wavelength.

The speed of light is 3 x 108 m/s. If its frequency is 4.11 x 104 Hz

So if the frequency of a light wave is given, we can use this formula to calculate its wavelength:

wavelength = speed of light / frequency

Plugging in the values given in the question, we get:

wavelength = 3 x 10⁸ m/s / 4.11 x 10⁴ Hz

wavelength = 3 x 10⁸/ 4.11 x 10⁴

wavelength = 3 / 4.11 x 10⁸/10⁴

Performing the calculation, we find that the wavelength of the light wave is approximately 729.94 meters.

To learn more about the speed of light click here:

https://brainly.com/question/394103

#SPJ5

use long division to find the quotient below (5x^5+90x^2-135x)(x+3)​

Answers

Answer:

   quotient: 5x^4 -15x^3 +45x^2

Step-by-step explanation:

The division is performed in the attachment. At each stage, the quotient is the ratio of the highest-degree terms in dividend and divisor.

To find the dividend for the next step, subtract the product of quotient term and divisor from the current dividend. This is essentially the same way you do long division using integers.

If k(x) = 5x-6, which expression is equivalent to (k+k) (4)?

Answers

Answer:

5(4) - 6 + 5(4) - 6

Step-by-step explanation:

k(x) = 5x - 6

(k+k)(x) = 5x - 6 + 5x - 6

(k+k)(4) = 5(4) - 6 + 5(4) - 6

=> Option D is correct

Hope this helps!

The expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The expression will be solved as below:-

k(x) = 5x - 6

(k+k)(x) = 5x - 6 + 5x - 6

(k+k)(4) = 5(4) - 6 + 5(4) - 6

Therefore, the expression is equivalent to (k+k) (4) will be 5(4) - 6 + 5(4) - 6. The correct option is B.

To know more about Expression follow

https://brainly.com/question/723406

#SPJ6

Are the expressions –0.5(3x + 5) and –1.5x + 2.5 equivalent? Explain why or why not.

Answers

Answer:

No.

Step-by-step explanation:

If you distribute the 1st equation out, you will be able to see that it is -1.5x - 2.5 while the other equation is -1.5x + 2.5. Since you have to distribute the negative, they are not equivalent.

Answer:

Both expressions are not equal.

Step-by-step explanation:

-0.5(3x+5) = -1.5x - 2.5

–1.5x+2.5  = -1.5x + 2.5

The first expression results in subtracting 2.5, the second expression results in adding 2.5.

Anyone know this ???

Answers

Answer:

A because it is super close together

Step-by-step explanation:

Answer:

B. 45°

Step-by-step explanation:

The angles of a triangle have to add up to 180°.

In this triangle C is given as 90°. That leaves 90° for the sum of the two others. Since the triangle is symmetrical, you can divide 90° by 2 to get to equal angles of 45°.

how do i write 7 degrees warmer today than yesterdays temperature t

Answers

you need to do the “ t + 7 “

Find the zeroes of the quadratic polynomial 4√3x2+5x -2√3

Answers

4✔️3x2+5-2✔️3 I think this answer

Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following: A. B. C. D.

Answers

Answer:

B

Step-by-step explanation:

Given

[tex]\left[\begin{array}{ccc}3&2\\-4&6\\7&5\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}-1&0\\5&2\\4&9\end{array}\right][/tex]

Subtract corresponding elements to obtain difference, that is

[tex]\left[\begin{array}{ccc}3+1&2-0\\-4+5&6-2\\7-4&5-9\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}4&2\\1&4\\3&-4\end{array}\right][/tex]  → B

I NEED HELP ASAP
A restaurant used 1⁄3 of a bag of spinach to make 2 servings of salad. How many bags of spinach did the restaurant put in each serving?

Answers

Answer:

1/6

Step-by-step explanation:

1/6

i think the answer is 1/6

g(x) = -3x – 8
g()=10

Answers

Answer:

g(-6) = 10

Step-by-step explanation:

-3x - 8 = 10

-3x = 18

x = -6

Eruptions of the Old Faithful geyser have duration times with a mean of 245.0 sec and a standard deviation of 36.4 sec (based on sample data). One eruption had a duration time of 110 sec.

Answers

Answer:

Difference between time = -135 sec

Step-by-step explanation:

Given:

Mean eruption = 245 sec

Standard deviation = 36.4 sec

One eruption had a duration time of 110 sec

Find:

Difference between duration time of 110 sec and mean = ?

Computation:

⇒ Difference between time = One eruption duration time - Mean

⇒ Difference between time = 110 sec - 245 sec

Difference between time = -135 sec

hey mate iam indian

claim 10 points ​

Answers

Yah I want it hello hi

Answer:

k

Step-by-step explanation:

The volume of a sphere whose diameter is 18 centimeters is _π cubic centimeters

Answers

Answer:

12 pi cubic cm

Step-by-step explanation:

The following list gives the first 4 values of a sequence that follows a numerical pattern.

1,-4,-9,-14...

Which is most likely the 10th value in the sequence?

A) -36
B) -39
C) -42
D) -44

Answers

Answer:
d. -44

Explanation:
Step 1 - Find the pattern

1, -4, -9, -14...

Clearly the pattern is adding negative five each time.

Step 2 - Simply continue the pattern until you get to the tenth value

1, -4, -9, -14, -19, -24, -29, -34, -39, -44

Therefore, the tenth value in the sequence is most likely -44.

Jon won 30 marbles playing horseshoes at a game night. Later, he gave 3 to each of his friends. He only has 9 left. How many friends does she have?

Answers

She has a total of 7 friends
30 marbles minus the 9 she has left is 21
21 divided by 3 per friend is 7 friends

y+y+c-10+x If x=7, y=10 and c=8

Answers

Answer:

it is 25

Step-by-step explanation:

FIRSTLY YOU SUBSTITUTE

10+10+8-10+7

=25

Answer:

10 + 10 + 8 - 10 + 7

= 25

Step-by-step explanation:

12.48 ÷ 7.6
[tex]12.48 \div 7.6 [/tex]

Answers

Answer:

2.08

Step-by-step explanation:

12.48 ÷ 6

= 2.08

Answer:

Hi

Answer:

= 1.6

solve each equation by graphing (work shown appreciated)

Answers

Answer:

Option A

Step-by-step explanation:

I used a graphing tool to graph the equations given. When graphed, the lines intercept at (-2,3). Therefore, it is the solution to the system of equations. See the picture attached for the graph.

Option A should be the correct answer.

What is the measure of ZJKL?
(Not drawn to scale)
1370
Marke this and return

Answers

Answer:

JKL = 117

Step-by-step explanation:

63 and JKL form a straight line and their sum is 180

63+ KJL = 180

Subtract 63 from each side

63+ KJL - 63 = 180-63

JKL = 117

Other Questions
Dock diving is a great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 8.62 m/s at an angle of 28 with respect to the surface of the water. (Assume that the +x axis is in the direction of the run and the +y axis is up.) (a) If Sheba begins at a height of 0.85 m above the surface of the water, through what horizontal distance does she travel before hitting the surface of the water? m what is the coefficient of 7c+8?1) 12)83)74)c HELP PLS !! What is the area of this trapezoid?Enter your answer in the box. Which of the following statements are true? (Check all that apply.)1 = 353 and 4 are vertical angles.2 is a right angle.1 and 4 form a straight angle.4 = 145 which choice is equivalent to the fraction below? graph of y=- 3x+2 is: Which pair of countries was divided between NATO and the Warsaw Pact? A: West Germany and East Germany B: Soviet Union and Romania C: Yugoslavia and Bulgaria D: Norway and Sweden A line graph, titled Amount of Air Pollution Parcticles by State, shows Parts per trillion or p p t, and Years 2006 through 2015 for Virginia, Wyoming, North Carolina, Tennessee, and Maryland. The line for Wyoming starts at 5 p p t with little change, ending just below 5 p p t. The line for Virginia starts at 13 p p t and ends at 8 p p t. The line for North Carolina starts at 13 p p t and ends just below 9 p p t. The line for Maryland starts just above 13 p p t and ends at 10 p p t. The line for Tennessee starts near 13.5 and ends at 9 p p t.Use the graph to answer the following questions.Which state has the highest level of air pollution particles for the year 2014? Which state shows the least change in air pollution particles from 2006 to 2015? What action is most likely to have helped reduce the rate of air pollution particles? Hello guys" if anyone familiar with paython please answer this question for me thank you. Write a program whose inputs are three integers, and whose output is the smallest of the three values. Ex: If the input is: 7153the output is: 3 question in attachment Certain chemical reactions can be used as a source of direct electrical current in a device called Issues of fairness, equality, and justice are important in the history and cultural values of the United States. What is one current issue that you are passionate about? Provide two or three arguments that support your position and make you passionate about the issue you have chosen. if a quadratic equation with real coefficients has a discriminant of -36 then what type of roots does it have The mean age of 4 women in an office is 27 years old. The mean age of 4 men in an office is 33 years old. What is the mean age (nearest year) of all the people in the office? Assume the profit margin and dividend payout ratio are constant. By what amount will retained earnings increase if sales are projected to increase by 11 percent? Currently, the firms sales =$4,700, net income is $420, total assets=7890, dividends=125, A/P =790, LTD= 3130, and common stock=2780, and retained earnings =1190. You and your new spouse each bring home $1400 each month after taxes and other payroll deductions. By living frugally, you intend to live on just one paycheck and save the other in a mutual fund yielding 7.83% compounded monthly. How long will it take to have enough for a 20% down payment on a $165,000 condo in the city? (Round your answer to two decimal places.) 3) How has Katniss been adopted by political parties in the United States? 1. What binds Canada and the United Statestogether? What do you think about the current protests that are GOING ON RIGHT NOW? (example; George Floyd) You will get 100 points!!!!!!!!!!!!!!!!!!!!!!!!!!!1 Solve for h. -98 = -7h