The field inside a running track is made up of a rectangle 84.39m (meters) long and 73m (meters) wide, together with a half-circle at each end. The running lanes are 9.76m (meters) wide all the way around. Question: What is the area of the running track that goes around the field? Explain or show your reasoning.

Answers

Answer 1

Answer:

3886.53 [tex]m^{2}[/tex]

Step-by-step explanation:

The running track consist of two semicircles and a rectangle.

So that;

Diameter of the semicircles = width of the rectangle = 73 m

radius = [tex]\frac{diameter}{2}[/tex]

          = [tex]\frac{73}{2}[/tex]

          = 36.5 m

But the two semicircles form a circle, so that;

Circumference of a circle = 2[tex]\pi[/tex]r

Circumference of the circle formed by the semicircles = 2 x [tex]\frac{22}{7}[/tex] x 36.5

                                          = 229.43 m

Thus,

length of the running track = circumference of the circle formed + length of the two sides of the rectangle

                                             = 229.43 + 84.39 + 84.39

                                             = 398.21 m

The length of the running track is 398.21 m.

Therefore;

Area of the running track = length x width

                                         = 398.21 x 9.76

                                         = 3886.5296

The area of the running track is 3886.53 [tex]m^{2}[/tex].


Related Questions

A high school club is conducting a cupcake sale at a local fair to raise money for a trip. The club members
are baking a total of 444 cupcakes. Each cupcake will sell for $3.00. The display tables cost $75.00 to rent.
What is a possible domain and range for this situation?​

Answers

Answer:

{444, 1332}

Step-by-step explanation: 444 cupcakes for $3 each (1332)

Answer:

{444, 1332}

Step-by-step explanation: 444 cupcakes for $3 each (1332)

Step-by-step explanation:

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Answer:

Step-by-step explanation:

Does can does

Answer:

does not cannot does not

Step-by-step explanation:

math math math math answer

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Answer:

It is rectangle.

Answer:

Rectangle

Step-by-step explanation:

All squares are rectangles.

How many 1/2 -cup can you make from 5 gallons of yogurt?

Answers

Answer:

There are 160 1/2 cups in 5 gallons.

Answer:

32 1/2

Step-by-step explanation:

A jacket originally cost $30.75. It went on sale for 20% off the original price. What was the discount on the jacket?

Answers

Answer:

$24.60

Step-by-step explanation:

First, you need to find 20% of $30.75.

To do this, we need to divide $30.75 by 5.

20% og $30.75 is $6.15.

$30.75 - $6.15 = $24.60

I hope that this helps! :)

Ok so the original price is $30.75 and it’s on sale for 20%. To find the discount you multiply 30.75 by .20 and get 6.15. So the discount is $6.15, and the new price of it is $24.60. Hope this helps!

solve the equation 7x-3(x-1)=2(2x+3) ​

Answers

Answer:

no solutions

Step-by-step explanation:

7x-3(x-1)=2(2x+3)

7x-3x+3=4x+6

4x+3=4x+6

3=6

no solutions

Answer:

No solution

Step-by-step explanation:

The proof that UX ≅ SV is shown.

Given: △STU an equilateral triangle

∠TXU ≅ ∠TVS

Prove: UX ≅ SV

Triangle T X V is shown. Point S is on side T X and point U is on side T V. A line is drawn from points S to U to form equilateral triangle T S U. Lines are drawn from point S to point V and from point U to point X and intersect at point W.

What is the missing statement in the proof?

Statement
Reason
1. ∠TXU ≅ ∠TVS 1. given
2. ∠STV ≅ ∠UTX 2. reflex. prop.
3. △STU is an equilateral triangle 3. given
4. ST ≅ UT 4. sides of an equilat. △ are ≅
5. ? 5. AAS
6. UX ≅ SV 6. CPCTC
△SXU ≅ △TVS
△UVX ≅ △SXV
△SWX ≅ △UWV
△TUX ≅ △TSV

Answers

Answer:

making it very simple it is D Edge 2021

Step-by-step explanation:

The correct option is △ TUX ≅ △ TSV

What is CPCTC?

CPCTC stands for "corresponding parts of congruent triangles are congruent" and tells us if two or more triangles are congruent, then their corresponding angles and sides are congruent as well.

Given that, △STU an equilateral triangle and ∠TXU ≅ ∠ TVS, and UX ≅ SV by CPCTC so,

∠TXU ≅ ∠TVS →  given

∠STV ≅ ∠UTX → reflex. prop.

△STU is an equilateral triangle →  given

ST ≅ UT  → sides of an equilat. △ are ≅

△ TUX ≅ △ TSV by AAS rule

UX ≅ SV by CPCTC

According to the given proof, the only option fitting is option D.

Hence, The correct option is △ TUX ≅ △ TSV

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4y 8x - 16 as a function

Answers

Answer:

The function form is:

f(x) = 2x - 8

Sue bought a $40 dress and a shirt. She spent $65 altogether. How much was the shirt? Let c = the cost of the shirt.

Answers

Answer:

$25

Step-by-step explanation:

$40 + c = $65

65-40 = c

25 = c

Answer:

25

Step-by-step explanation:

40+c=65 isolate the c by subtracting 40 from both sides and you're left with 25. hope this helps

(9
Simplify. 5/4 • 6/25 + 6/5

Answers

Answer:

Exact Form:

3/2

Decimal Form:

1.5

Mixed Number Form:

1 1/2

Answer:

5/4*6/25+6/5=1.5

how is a good question

5/4=1.25

6/25=0.24

6/5=1.2

so...

1.25*0.24+1.2=1.5

Which refers to the number of wavelengths that pass a fixes point in a second?​

Answers

Answer:Frenquency

Step-by-step explanation:

Answer:

FREQUENCY

Step-by-step explanation:

An angle's measure is 10 less than 4 times its complement. Find the measure of the angle.
WILL GIVE BRAINLIEST

Answers

Answer:

I think the answer is 6 so if wrong

Answer:

nope...

Step-by-step explanation:

18)
18) Your bank account has $58 in it when you write checks for $53, 545, and $59. You then
deposit $20 and $38. How much is in the account? Are you overdrawn?

Answers

Answer:

Yes you are  overdrawn

Step-by-step explanation:

you only had $116 but wrote checks for $657

Answer:

Step-by-step explanation:

53+545+59 =637-58+58

= -637 overdrawn

Bart can type 296 words in 8 minutes. What is his unit rate

Answers

Answer:

37

Step-by-step explanation:

296 ÷ 8 = 37

Sorry I couldn't explain more, but I hope this helps!

Answer:

The unit rate is 37 words per minute.

Step-by-step explanation:

296 divided by 8 is 37

How much change would be returned from a $50.00 bill for the purchase of 25 stainless steel bolts at the price of 89 cents each?

Answers

Answer:

27.75 is the answer

Step-by-step explanation:

25×89 2,225 = 22.25 50-22.25 is equal to 27.75

Hey can anyone pls answer dis math question!!!!

Answers

The monthly interest is $1.15.

Answer:

$255.20

Step-by-step explanation:

Jerry’s monthly salary was $3,050 last year. This year his monthly salary is $3,350. What percent increase in salary did Jerry receive?

Answers

Answer:

Increase of 9.3%

Step-by-step explanation:

Hence, the percent increase in salary did Jerry receive is [tex]4.68[/tex]%.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Here given that,

Jerry’s monthly salary was $[tex]3,050[/tex] last year. This year his monthly salary is $[tex]3,350[/tex].

His monthly salary in last year is $ [tex]3050[/tex].

In this year his salary is $[tex]3350[/tex].

So, the increase in salary is

[tex]3350-3050=300[/tex]

And the overal salary is $ [tex]3050+3350=6400[/tex]

So, the percent increase in salary did Jerry receive is

[tex]\frac{300}{6400}[/tex] × [tex]100=4.68[/tex]

Hence, the percent increase in salary did Jerry receive is [tex]4.68[/tex]%.

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Answers

Answer:

-2,-1

Step-by-step explanation:

When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.

Answer:

it is -2,-1 to solve the problem take the original point and go over the x-axis to the same part but opposite side ( I hope u understand what I am saying =/

Step-by-step explanation:

first graph the original point and then reflect it across the axis you know your answer is correct if it is an equal amount of spaces from the original point or if when you fold the graph the points are lined up (hope this helps)

Wellington never paid attention in school when teachers taught math and he never truly understood how to manage his money. He is now an adult and does not have any real skills so lets find out what happened to his money. He made $2400 dollars but after federal and state taxes, social security, and health insurance there are $550 that are automatically taken out. Then he must pay his rent which is $1,000. Then he must pay his car note and insurance which come up to $700. He has to divide the remaining total up equally and make it last for 15 days. How much will he have to spend on each of those 15 days?

Answers

Answer:

$10

Step-by-step explanation:

Total amount earned = $2400

Less: federal and state taxes, social security, and health insurance = $550

Balance = $2400 - $550

=$1,850

Less : Rent = $1,000

Balance = $1,850 - $1,000

= $850

Less: insurance = $700

Balance = $850 - $700

= $150

He has to divide the remaining total up equally and make it last for 15 days

Amount to spend per day = $150 / 15 days

= $10 per day

Danielle is ordering costumes for her dance recital. The company Danielle is ordering from charges $19 per costume and a shipping fee of $9. Based on this information, which function can be used to represent the relationship between the total cost, k, and the number of costumes Danielle orders, u? A. k = 9u + 19 B. k=19u−9 C. k = 19u + 9
D. k=9u−19

PLEASE HURRY ILL MAKE MOST BRAINLIEST!!!!

Answers

Answer:

Step-by-step explanation:

C. Cost = $19 x u + $9shipping fee

So k = 19u + 9

The function that represent the information is k = 19u + 9

The shipping fee = $9

The company charges $19 per costume.

The shipping fee is acting like a constant in the linear equation while the amount charged for the costumes is dependent on the value u, which is the number of costumes purchased.

k = total cost

number of costumes she orders = u

Therefore, the equation can be represented as follows

k = 19u + 9

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Adam has 312pounds of ground beef.

How many burgers can he make if each burger requires 14 pound?

PLS HELP NOWWWW

Answers

312/14= 22.285

He can make 22 burgers. Please mark me as the Brainliest.

Answer:

14 or 0.14

Step-by-step explanation:

3 1/2 ÷ 1/4

1/4 = 25

3 1/2 ÷ 25 = 0.14 or 14

This is correct answer can you mark me brainliest

7. Find the perimeter of the triangle with the side lengths of x+14, -X+7, and x-9.
(2 Points)

8. Find the area of a rectangle with the following measurement:
(2 points)
length = 3x² - 6x + 5 and width = 5x - 8

Answers

Answer:

7. Perimeter = x+12

8.  Area = 3x² +19x-8

Step-by-step explanation:

Perimeter -To calculate the perimeter of a triangle, add the length of its sides. For example, if a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c.

Area -The area A of a rectangle is given by the formula, A=lw, where l is the length and w is the width.

7. X+12
8. 3x^2+19x-8

- 3/5 - ( -2/5 ) = ?

Answers

Answer:

Step-by-step explanation:

3/5 is .6

2/5 is .4

-.6+.4 is -.2 or

-3/5+2/5

-1/5

you invest 10,000 dollars into two accounts, one earning 5% interest and the other earning 8% interest. If the total annual interest earned is 590 dollars, how much do you invest into each account? PLZ SHOW WORK

Answers

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

Step-by-step explanation:

Hope this helps :)

Suzy wants to save money so she can buy a new car in five years. If she puts $400 a month into a savings account with a 6% annual interest rate, calculate the total savings she will have saved after the five years. Please show your math. I’ve started you on the right track.

Answers

It would be 24,00 because e

Line e has a slope of -8/3 line f is perpendicular to e what is the slope of line f​

Answers

Answer: The slope is -3/8

Step-by-step explanation: This is actually a LOT simpler than it seems. Just remember, perpendicular line intersect at right angles, therefore their slopes are the exact opposite. The opposite, or reciprocal, of -8/3 is 3/8. While I was learning this, one tool that helped me to check my answers was desmos. Check it out if you haven't used it before.

topic 1 performance task. Part A: Error Analysis
Please help me. ​

Answers

Answer:

10^14

Step-by-step explanation:

10^11 * 10^3 = 10 ^ (11+3) = 10^14

A tree was 60 inches tall. Three years later it was 105 inches tall. What was the present increase the nearest hundredth, of the height of the tree?

Answers

Answer:

75%

Step-by-step explanation:

yep

Answer:

63% im pretty sure :)

Step-by-step explanation:

What is the focus and directrix of a parabola?

Answers

Answer:

Parabolas are commonly known as the graphs of quadratic functions. They can also be viewed as the set of all points whose distance from a certain point (the focus) is equal to their distance from a certain line (the directrix).

Step-by-step explanation:

hope this helps

Crown me as brainliest:)

can someone plz help who good with math

Answers

Answer:

1.2

Step-by-step explanation:

if you multiply 1.2 X 10 is 12

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