The track is 9.76 m wide all the way around. What is the distance around the outside of the track? Explain or show your reasoning.

The Track Is 9.76 M Wide All The Way Around. What Is The Distance Around The Outside Of The Track? Explain

Answers

Answer 1

Answer:

The distance around the outside of the track is 4183.58m².

Step-by-step explanation:

The area of running track that goes around the field is 9.76m

To proof :

Formula -

(Area of rectangle = length × breadth)

(Area of running track = outside area - inside area)

First case (outside),

length = 73 +2× 9.76

= 92.52m

Breadth = 84.39 m

radius of outside semi circle,

= 46.26m

outside area = area of rectangle + 2 × area of the semi-circle

= 92.52 x 84.39 + 3.14 x 46.26 × 46 × 26

= 7807.76+6719.56

Second case,

radius of the semi-circle,

=36.5m

inside area = area of rectangle + 2x area of the semi-circle

=73x 84.39+ 3.14x 36.5×36.5

= 6160.47 +4183.27

= 10343.74m²

Now,

Area of running track = 14527.32 m²- 10343.74m²

= 4183.58m²

The distance around the outside of track is 4183.58m².


Related Questions

Write an equation in slope-intercept form of the line shown.
An equation is

Answers

Answer:

y = -x - 4

Step-by-step explanation:

y = mx + b

m = rise/run = -5/5 = -1

b = y-intercept = (0, -4)

BRAINLIEST please if this helps!

Find the perimeter of the rectangle
below in inches.

Answers

Answer:

Perimeter of the rectangle is 28 yards

Step-by-step explanation:

Given:

Length of rectangle = 8 yardsBreadth of Rectangle = 6 yards

To Find:

Perimeter of the rectangle

Solution:

We know that,

Perimeter of rectangle= 2(L + B)

Substituting the required values,

Perimeter = 2(8 + 6)

Perimeter = 2(14)

Perimeter = 28 yards

Hence,

Perimeter of the rectangle is 28 yards

Sal the sloth takes one hour to travel 7 1/2 feet. If he continues to travel at the same rate, how long will it take him to travel 30 feet?

Answers

Answer:

4 hours

Step-by-step explanation:

Since we know he travels at a rate of 1:7.5 all we have to do is divide 7.5 by 30. Do you use proportions? You can set this up as a proportion and the find answer easily.

1[tex]\frac{1}{7.5} =\frac{x}{30}[/tex]

Now we cross product.

7.5 multipled by x  =7.5x

1x30=30

so now we have

7.5x=30

Now we have to divide 7.5 on both sides which gives us

x=4

Consider the given probability histogram of a binomial
random variable.



What are the center and shape of the distribution?
0.4
A. Center: 2
Shape: symmetric

B. Center: 2.5
Shape: symmetric

C. Center: 2.5
Shape: slightly skewed

D. Center: 3
Shape: uniform

Answers

The center and shape of the distribution are 2.5 and symmetric. Then the correct option is B.

How to find that a given condition can be modeled by binomial distribution?

Binomial distributions consist of n independent Bernoulli trials.

Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))

Suppose we have random variable X pertaining to a binomial distribution with parameters n and p, then it is written as

 

[tex]X \sim B(n,p)[/tex]

The probability that out of n trials, there'd be x successes is given by

[tex]\rm P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]

Then the center and shape of the distribution will be 2.5.

Learn more about binomial distribution here:

https://brainly.com/question/13609688

#SPJ1

Answer:

Center : 2.5 Shape: Symmetric

Step-by-step explanation:

Trust Fam

What is 6x^3 - 3x^2 + 7x - 4
when x = 5?

Answers

Answer:
706

Step-by-step explanation:
Substitute x=5 in the equation:
6(5)^3 - 3(5)^2 + 7(5) - 4
= 6(125) - 3(25) + 35 - 4
=750 - 75 + 35 - 4
=706
So the answer is 706

Step-by-step explanation:

[tex] = {6x}^{3} - {3x}^{2} + 7x - 4[/tex]

[tex] = 6 \times 125 - 3 \times 25 + 7 \times 5 - 4[/tex]

[tex] = 750 - 75 + 35 - 4[/tex]

[tex] = 750 + 35 - 75 - 4 [/tex]

[tex] = 706..[/tex]

4) Reflection: why is it important to understand radius and circumference to solve problems in the real world?​

Answers

Look at the below example you may understand better

Suppose you are playing soccer or footballYou want to make a perfect ball which can be played easily by people irrespective of their age.So if you know about radius and circumference you can find that .

Angle A and B are complementary what is the measure of angle be?

Answers

133. If angles are complimentary, then when they are added together they will equal 180°. If angle A is 47, then you subtract 47 from 180, and you get 133.

At a company, a copy machine prints 175 pages in 5 minutes. If the number of pages printed is proportional to the time, what is the unit rate?

Answers

Answer:

35 pages per minute is the unit rate

Step-by-step explanation:

Divide 175 by 5 to find the unit rate

Jay went on a diet and lost 5 pounds each month. Find Jays net weight change in 6 months.

Answers

Answer:

30lbs

Step-by-step explanation:

5x6 i think lol maybe

An irregular plane figure drawn on graph paper is framed 15 by 40 rectangle.To find its area,10,000 random points are generated,and 5,710 of them land inside the irregular region what is the area of the irregular region to the nearest integer

Answers

Answer:  343 square units

=========================================================

Explanation:

A = number of points that land inside the irregular figureB = number of randomly generated points total

In this case,

A = 5,710B = 10,000

Divide A/B to find the experimental probability of landing inside the figure

A/B = (5,710)/(10,000) = 0.571

There's about a 57.1% chance of landing inside the figure.

The entire region is 15 units by 40 units, giving an overall area of 15*40 = 600 square units.

Roughly 57.1% of this total area would be taken up by the irregular figure

57.1% of 600 = 0.571*600 = 342.6 which rounds to 343

The area of the irregular region is about 343 square units

Jack and Diane want to meet for breakfast. Jack walks 1.5 mph and Diane walks 1 mph. They started 5 miles apart from each other. How long does it take them to meet up?

Answers

Answer:

jack take 3.33 hours and diane would take 5 hours

Step-by-step explanation:

Shanelle used the following steps to arrive at the wrong answer for the simplification problem shown below.
What mistake did Shanelle make to get the problem wrong?
ty
y
Given: 2,5
XyX
10
Step 1: 3,4
xºy
Step 2: = x 'yº
Step 3: = x(1)
Step 4: = x
A. Shanelle misapplied the multiplication property of exponents to x in Step 1.
B. Shanelle misapplied the multiplication property of exponents to y in Step 1.
C. Shanelle misapplied the division property of exponents to x in Step 2.
D. Shanelle misapplied the division property of exponents to y in Step 2.

Answers

68 I’m not sure if this is right

The two solids are similar, and the ratio between the lengths of their edges is
2:9. What is the ratio of their surface areas?
36 2
A. 64:729
B. 4:81
C. 4:18
D. 8:36

Answers

Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 2268 : 112

How to calculate the surface area of a prism?

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(lw+wh+lh)

l is the lengthw is the widthh is the height

For the Red prism

Ar = 2(162 +324 + 648)
Ar = 2268 square units

For the blue prism

Ab = 2(8 + 16 + 32)
Ab = 112 square units

Take the ratio of the surface area

Ratio = 2268 : 112

Hence the ratio of their surface area is 2268 : 112

Learn more on surface area here: https://brainly.com/question/76387

Surface area is the sum of the area of faces of a figure. The ratio of their surface area is 4:81.

How to calculate the surface area of a prism?

A prism is a solid shape with 6 faces

The formula for calculating the total surface area is expressed as:

TSA = 2(LW+WH+LH)

L is the lengthW is the widthH is the height

For the Red prism

Ar = 2(648 + 162 + 324)Ar = 1,782 square units

For the blue prism

Ab = 2(32 + 8 + 16)Ab = 88 square units

Take the ratio of the surface area

Ratio = 4:81

Hence the ratio of their surface area is 4:81

Learn more on the surface area here: brainly.com/question/76387

ol-
اد
Point Dis: Point E is
4.
D
E
Point Fis:
Point
5.
UL
G
0
6. Label each fraction on the number line below.

Answers

Answer:

I can't understand

Step-by-step explanation:

Mr. Walter recorded the heights of the students in his class. The dot plot below shows the recorded data.




Which of the following is the best measure of center for the data?

A.

interquartile range

B.

mean

C.

range

D.

median

Answers

Answer:

It's mean (I checked this) :)

Step-by-step explanation:

37. Watering a lawn requires 623 gallons of water for
every 1000 sq. ft. What is the rate of gallons per square
foot?

Answers

The rate of gallons per square foot is 0.624 gallons per square foot.

What is a rate?

A rate demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B). This indicates that you're dividing information A by B.

In this scenario, watering a lawn requires 623 gallons of water for every 1000 sq. ft.

The rate of gallons per square foot will be:

= Number of gallons / Square foot

= 623 / 1000

= 0.623

Learn more about rate on:

brainly.com/question/25537936

#SPJ1

choose all numbers that could be common denominators for 2/3 and 5/6 ​

Answers

6 because I just know

The square root of 23

Answers

Answer:

4.796

Step-by-step explanation:

Which answer is an example of systematic sampling?


asking every fifth person their age


asking your neighbors if they approve of the mayor


submitting an online survey


counting everyone who attends a game

Answers

Answer:

Asking every 5th person their age

Step-by-step explanation:

I just did the quiz

helpppp pppp ppppp pppppppppp

Answers

Answer:

with what

Step-by-step explanation:

ask your teacher

Does the equation below represent a lunar relationship? Justify your response. 2x - 5y= -15

Answers

Answer:

Yes, the equation represents a linear relationship.

Step-by-step explanation:

If you graph it, it is a line.

Also, the exponent on the x and the y is exactly 1. There are no variables in the denominator, nor inside a radical. There are no squared, cubes or higher exponents. All these things will make an equation NOT linear.

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:
y = 6/5x - 2

y = mx + b

6x -5y = 5

Solve for y

6x - 5y = 5

Subtract 6x from both sides

-5y = -6x + 5

Divide both sides by -5

y = 6/5x - 1

Slope intercept form: y = 6/5x - 1

Hope this helps a bit!

The rabbit population in a certain area is 500% of last year's population. There are about 300 rabbits this year. How many were there last year?

Answers

Answer: 1500

Hope this helps! :)

Please mark brainliest.

1500 last year. Is the answer

In Exercise 3, one equation relating the times Eric spends running and walking to reach the goal of covering 1600 meters is 200x + 80y=1600. Suppose Eric runs and walks for a total of 12 minutes to reach his goal.

Answers

Answer + Step-by-step explanation:

let x be the time that Eric spends running

    y be the time that Eric spends walking

a) the statement “Eric runs and walks for a total of 12 minutes to reach his goal” is equivalent to the equation: x + y = 12

b) the coordinates of the intersection point are (5.333...  ,  6.666...)

Interpretation:

the time that Eric spends running is 5.333... minutes  

the time that Eric spends walking  is 6.666... minutes

Answer:

Given equation:

[tex]200x+80y=1600[/tex]

where:

x = time Eric runs (in mins)y = time Eric walks (in mins)

Part (a)

If Eric runs and walks for a total of 12 minutes, then:

[tex]x+y=12[/tex]

Part (b)

To graph:

Rewrite both equations to make y the subjectFind the x-interceptFind the y-interceptConnect the two points with a straight line

[tex]200x+80y=1600 \implies y=20-\dfrac{5}{2}x[/tex]

[tex]\textsf{x-intercept}: \quad 20-\dfrac{5}{2}x=0 \implies x=8 \implies (8,0)[/tex]

[tex]\textsf{y-intercept}: \quad 20-\dfrac{5}{2}(0)=20 \implies (0,20)[/tex]

[tex]x+y=12 \implies y=12-x[/tex]

[tex]\textsf{x-intercept}: \quad 12-x=0 \implies x=12 \implies (12,0)[/tex]

[tex]\textsf{y-intercept}: \quad 12-0=12 \implies (0,12)[/tex]

Point of intersection (equate equations):

[tex]\begin{aligned}20-\dfrac{5}{2}x &=12-x\\20-12 &=\dfrac{5}{2}x-x\\8&=\dfrac{3}{2}x\\16 &=3x\\x &=\dfrac{16}{3}\end{aligned}[/tex]

[tex]y=12-\dfrac{16}{3}=\dfrac{20}{3}[/tex]

[tex]\implies \left(\dfrac{16}{3},\dfrac{20}{3}\right)[/tex]

The point of intersection tells us that Eric runs for 16/3 mins and walks for 20/3 minutes.

Find the 66th term of the arithmetic sequence 3, 13, 23, ...

Answers

I believe the 66th term will be 653

what is 2.5 in a fraction?

Answers

Answer: 5/2

To convert 2.5 into a fraction, firstly we will write the number in x/y form, where x and y are positive integers. So, 2.5 can be written as 2.5/1. For the removal of the decimal, we multiply and divide by 10. And we get, 2.5/1 x 10/10 = 25/10 = 5/2.

The sum of three numbers is 145. The third number is 4 times the second. The second number is 5 more than the first. What are the numbers?

Answers

Answer:

i think they are 23, 50, and 64!

Step-by-step explanation:

What is 1.427381 rounded to the nearest hundred thousandths place?​

Answers

given:

1.427381

to find:

the nearest hundredth thousandths place.

solution:

if the the number right to the hundred thousandths place is 5 or more round up, if not keep it as it is.

= 1.42738

therefore, 1.427381 rounded to the nearest hundred thousandths is 1.42738

The answer is 1.42738

Complete this sequence

-21,-18,-15,-12,[??],[??]

Answers

-9 and -3

hope it helps...!!!

In a company, there are 28 total employees. All employees who have worked there for more
than five years receive a gift.

If eleven employees have received the gift, what is the probability that a randomly
selected employee has received the 5-year gift?

Answers

The probability that a randomly selected employee has received the 5-year gift is 39.29%

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a randomly selected employee has received the 5-year gift = number of employees who have received the gift / total number of employees

11/28 x 100 = 39.29%

To learn more about probability, please check: https://brainly.com/question/13234031

Other Questions
Jesus said to her, I am the resurrection and the life. The one who believes in me will live, even though they die; and whoever lives by believing in me will never die. Do you believe this? answer? or lose points and brainiest ( bible questions 2) find the diffrence between x+5 and 2x+3 What is another word for a substance that is a base?A.indicatorB.amphoteric C.bufferD.alkaline Who is the tragic hero in the play Doubt by John Patrick Shanley? How does this play reflect Aristotle's three unities? A cup of hot water is left out to cool. The water is currently 19C above room temperature. If the heat difference decreases by 5% every minute, what will the difference be in 13 minutes? When jaci works on a project alone, she puts in a lot of effort and meets deadlines. However, when she works on a project in a group, she rarely attends scheduled meetings and always misses the deadline when submitting the part of the project she is responsible for completing. Jacis behavior is best explained by. Which is a thesis statement According to the _____________, many African Americans live in areas where there has been a reduction in work for low-skilled workers, and African-American men in particular often do not have the skills required to secure work in the current economy. x^2-5x-6X^2+3x-40x^2-7x-30 What emotions are associated with the color beige Rafael has a bag of marbles, there are 5 green marbles, 6 red marbles, and 45white marbles. Rafael picks a marble out of the bag without looking. What is theprobability of P(red n white)? The prices of commodities X,Y,Z are respectively x, y, z, rupees per unit. Mr. A purchases 4 units of Z and sells 3 units of X and 5 units of Y. Mr. B purchases 3 units of Y and sells 2 units of X and 1 units of Z. Mr. C purchases 1 units of X and sells 4 units of Y and 6 units of Z.in this process A and C earn Rs. 6000 and Rs. 13000 respectively. While B neither lose nor gain. Find the prices per unit of the three commodities by using appropriate method.please help me!! Pythagorean Theorem you leave your house and drive 12 miles north , then turn left and drive 9 miles west . How far are you from your hours ? I NEED HELP WILL MARK YOU BRAINLIEST IF ANSWERED CORRECTLY IF YOU DO NOT KNOW THE ANSWER DONT REPLY TO THIS THREAD How many solutions does the following equation have? -9(x+6)=9x+108 To prevent accidental poisoning, you should NOT __________.A.mix chemicals in well ventilated areasB.follow the instructions on the labelC.keep materials in unlabeled containersD.use chemicals in well ventilated areas Predict the number of purple jellybeans in a bag of 200 jellybeans if a random sample of 25 resulted in 4 purple jellybeans. Write an equation of the line that passes through (-4, 1) and is parallel to theline y - 3 = 2(x + 7). (3 + root 3) (2+root 2) answer pls A rectangluar pyramid of height 8 mimeasuring 4 mi and 6 mi along the base. Develop the topic sentence in a paragraph "Attending live performance (For example, play, concert or sporting event) is more enjoyable than watching the same event on television