This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards wide
1.What is the area of one of the semicircles at either end of the track?
2.The school decided to cover the semicircles with grass to create a space for stretching and other activities. How many square yards of grass will the school need to cover the entire circle?
3.What is the distance around one of the semicircles at either end of the soccer field?
4.What is the distance around the inner lane of the track (i.e., the lane closest to the soccer field)? PLEASE HELP <3

Answers

Answer 1

Answer:

Step-by-step explanation:

1. 1923.25

2.about 3846.5 yards

3.219.91

4.639.82

Answer 2

Answer: See below

Step-by-step explanation:

1) 1/2 x 3.14 x 35^2

1/2 x 3.14 x 1225

1/2 x 3846.5

A = 1923.25 yd^2

2) (3.14)r^2

(3.14) (35)^2

3846.50 yd^2

3) P = d + (3.14)r^2

P = 70 + (3.14) (35)

P = 70 + 109.90

P = 179.90 yd

4) P = 2( l + w)

P = 2 (70 + 100)

P = 2 (170)

P = 340

Perimeter of the square minus the perimeter of the circle.

340 - 179.90 = 160.10 yd


Related Questions

which expression is equivalent to 189 1/5 -(-22 2/5)-(-40 1/5),

Answers

Answer:

[tex]251 \frac{4}{5}[/tex] or [tex]\frac{1259}{5}[/tex]

Gina is four years younger
than twice David's age. Gina
is 18. How old is David?

Answers

Answer:

44

Step-by-step explanation:

Gina is four years younger so

18+4=22

since its twice davids age

22×2=44

A snowcone with a radius of 4 cm is sold in a cone-shaped paper cup with a height of 12 cm and an opening 6 cm wide. If all the ice melted in the cup, would it overow?

Answers

Answer: No because when you do the volume of the cone is r=3cm h=12cm and the sphere is r=4cm

If the ice melt in the cone shaped cup, it won't overow because the volume of the cone shaped cup is greater than the volume of the snowcone ice.

The snowcone is a sphere.

Volume of a sphere

volume = 4 / 3πr³

where

r = radius

Therefore,

volume of the snowcone = 4 / 3 × π × 4³

volume of the snowcone = 256 π/ 3 = 85.33π

Therefore, the volume of the cone canbe found as follows:

volume of the cone shaped paper = 1 / 3 πr²h

h = 12 cm

r = 6cm

volume of the cone shaped paper = 1 / 3 × π × 6² × 12

volume of the cone shaped paper = 144π

Therefore, let find if the ice melt in the cone whether it will overow.

144π - 85.33π = 58.67π

Therefore, the volume of the cone shaped paper is greater than the volume of the snowcone ice . This means that if the ice melt in the cup , it won't overow.

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Determine the value of the expression: 5^4 × 5^8/5^6 Write your answer in exponential notation (in exponent form).

Answers

Answer:

5⁶

Step-by-step explanation:

We have

[tex]5^4*\frac{5^8}{5^6}\\\frac{x^n}{x^y}=x^{n-y}\\\frac{5^8}{5^6}=5^{8-6}=5^2\\x^n*x^y=x^{n+y}\\5^4*5^2=5^6[/tex]

Please find the missing angle of this Shape.

Answers

The answer is x= 60 degrees

Find the area of the shape shown below.

Answers

That shape is a Pentagon

Answer:

To find the area break up the shapes:

The rectangle is A = bh which is 7*3 which is 21.

Triangle: A = 1/2(bh)

A=1/2(3*7)

A=1/2(21)

A=10.5

Now add up the areas:

21+10.5

=

31.5

The answer is 31.5 units.

how do you solve this?

Answers

Answer:

x=110(by vertical opposite angle)

Students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces) Which statement best describes the data represented in the box plot?​

Answers

Answer: The correct answer would be F. Half the students drank from 78 to 114 fluid ounces.

Step-by-step explanation:

The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces. The correct option is F.

What is a box plot?

A rectangle is created to represent the second and third quartiles, normally with a vertical line inside to indicate the median value, in a simple way of presenting statistical data on a plot.

Given that students recorded the amount of liquid in fluid Ounces each of them drank In one day. The box plot shows the summary of the results. Amount of Liquid (fluid Ounces).

The highest and the lowest limit of the box plot is range from 78 to 114. The statement best describes the data represented in the box plot half the students drank from 78 to 114 fluid ounces.

Therefore, the correct option for the box plot will be F.

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write the equation, please.

Answers

Answer:

x^2+y^2 = 49

Step-by-step explanation:

This is a circle.

The generic equation of a circle is

(x-h)^2+ (y-k)^2 = r^2

where (h,k) is the center and r is the radius

The center of the circle is at the origin which is (0,0)

The radius is 7

(x-0)^2+(y-0)^2 = 7^2

x^2+y^2 = 49

Answer:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

Step-by-step explanation:

we are given a circle

we want to figure out the equation of the circle

remember that,

[tex] \rm \displaystyle E _{c} : (x - {h)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

(h,k) are the centre of the circle

we can clearly see that the centre of the circle is (0,0) and the redious is 7 units

thus substitute:

[tex] \displaystyle (x - {0)}^{2} + (y - 0{)}^{2} = {7}^{2} [/tex]

further simplification is needed:

[tex] \displaystyle {x}^{2} + {y}^{2} = 49[/tex]

and we are done!

Katie noticed that many of the students at her school ate fruit during lunch. She randomly chose 30 students and found that 18 of them ate fruit during lunch. If Katie sample is representative, which of the following is closest to the number of 1,560 students at her school who eat fruit at lunch?

Answers

Answer:

52 / 1,560

Step-by-step explanation:

18 / 30

? / 1,560

1,560 / 30 = 52

52 / 1,560

30% of the scholars are working as stagehands. 35 scholars are actors and actresses. How many students in total are in the school play, acting and working behind the scene?

Answers

Answer:

There are 50 students in total in the school play, acting and working behind the scene.

Step-by-step explanation:

Since the statement indicates that 30% of the scholars are working as stagehands, you can subtract this from 100% that represents the total amount of student in the school play to find the percentage that are actors and actresses:

100%-30%=70%

Now, as you know that 70% of the students are actors and actresses and the statement indicates that they are 35, you can use a rule of three to find the amount of students that represent 100%:

70%    →    35

100%   →     x

x=(100*35)/70

x=50

According to this, the answer is that there are 50 students in total in the school play, acting and working behind the scene.

what is the volume to the nearest tenth
A)34.4yds^2
B)34.38yds^3
C)34.4yds^3
D)34.38yds^2

Answers

Answer:

A

Step-by-step explanation:

Miguel drives 200 meters up a hill that makes an angle of 7 degrees with the horizontal ground. To the nearest tenth of a meter, what horizontal distance has he covered? (Only round your answer once)

Answers

Answer:

Step-by-step explanation:

The hypotenuse is 200 meters.

The angle making the ground and the Hypotenuse is 7 degrees.

The trig relationship needed is the cosine.

Cos(7) = x / 200        Multiply both sides by 200

200*cos(7) = x

200* 0.9925 = x

x = 198.51

The calculator held the actual answer of cos(7)

If 4c + 10= 20 -16c, what is 8c?

Answers

If that = that . That mean 8c is 3c

PLS HELPP!! thank you

Answers

Answer:

$20.71/[tex]ft^{2}[/tex]

Step-by-step explanation:

290 ÷ 14 = 20.71 (rounded)

10. The figure is a rectangle. What is x?
28

Answers

Answer:

152

Step-by-step explanation:

180 minus 28 is 152 degrees

BRAINLY TO WHOEVER HELPS

Determine which of the following could NOT represent the sides of a right triangle.
A) 3,4,5
B) 1,2,3
C) 5,12,13
D) 6,8,10

Answers

Answer:

A, C and D

Step-by-step explanation:

B is left out because the hypotenuse of 1 and 2 will be appx 2.24 but the rest are good to go



The cost of a holiday is £2400

Rana pays a deposit followed by monthly payments, in the ratio

deposit : total of the monthly payments = 3:5


She makes 6 equal monthly payments. Work out her monthly payment

Answers

She makes 6 equal monthly payments. Then the monthly payment will be £666.67.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The cost of a holiday is £2400. Rana pays a deposit followed by monthly payments, in the ratio deposit: a total of the monthly payments = 3:5.

Then the total of the monthly payment will be given as,

£2400 / Total of the monthly payments = 3:5

Total of the monthly payments = (5/3) x £2400

Total of the monthly payments = £4,000

She makes 6 equal monthly payments. Then the monthly payment will be given as,

Monthly payment = £4,000 / 6

Monthly payment = £666.67

She makes 6 equal monthly payments. Then the monthly payment will be £666.67.

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find the gradient of the line segement between the points (0,-6) and (2,-16)

Answers

answer = 5

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope, m. The larger the value is, the steeper the line. Given m, it is possible to determine the direction of the line that m describes based on its sign and value:

A line is increasing, and goes upwards from left to right when m > 0

A line is decreasing, and goes downwards from left to right when m < 0

A line has a constant slope, and is horizontal when m = 0

A vertical line has an undefined slope, since it would result in a fraction with 0 as the denominator. Refer to the equation provided below.

Slope is essentially change in height over change in horizontal distance, and is often referred to as "rise over run." It has applications in gradients in geography as well as civil engineering, such as the building of roads. In the case of a road the "rise" is the change in altitude, while the "run" is the difference in distance between two fixed points, as long as the distance for the measurement is not large enough that the earth's curvature should be considered as a factor. The slope is represented mathematically as:

m =

y2 - y1

x2 - x1

Rayyan shares Rs 2000 between his two friends Anas and Ahsan. The ratio of Anas’s share to Ahsan’s share is 6:4
How much money do they each receive?

Answers

Answer:

Anas= RS 1200

Ahsan= RS 800

Step-by-step explanation:

Given data

Amount=  Rs 2000

Ration=  6:4

Combined ratio = 6+4= 10

Let us apply the part to all method to solve for the individual amount

For Anas

2000/10= x/6

cross multiply

10x= 2000*6

10x=  12000

x= 12000/10

x= 1200

For Ahsan

2000/10= x/4

cross multiply

10x= 2000*4

10x=  8000

x= 8000/10

x= 800

Check out the image

Answers

Answer:

oop, okay

Step-by-step explanation:

Answer:

twitter should work

go on it but also other websites so when you go to delete your history (ctrl h on chrome) it'll match up

example: go on twitter at 2:25 but also some other websites and switch back until 2:26 go back on and then other websites

Step-by-step explanation:

Suppose that y varies directly with x
and y=
= 10 when x = 20. What is y
when x = 15?
Be sure to simplify your answer.

Answers

Answer:

[tex]10 \times 2 = 20 \\ 5 \times 3 = 15[/tex]

answer:10×2=20

5×3=15

Answer:

y = 7.5

Step-by-step explanation:

Given y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 20

10 = 20k ( divide both sides by 20 )

[tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation

When x = 15 , then

y = [tex]\frac{1}{2}[/tex] × 15 = [tex]\frac{15}{2}[/tex] = 7.5

Given g(x) is an exponential function
shown in the graph, what is most likely
the asymptote of the function?

Answers

Answer:y=-3

Step-by-step explanation:

The value of the asymptote of the function is,

⇒ y = - 3

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

g(x) is an exponential function shown in the graph.

We know that;

On the graph of an exponential function, the asymptote is usually the x-axis or the line y = 0.

Hence, From graph,

The value of the asymptote of the function is,

⇒ y = - 3

Thus, he value of the asymptote of the function is,

⇒ y = - 3

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Please help ~ +10 Points ~ 1 Question ~ Math ~ Multiple choice
What is an equivalent equation for each given equation? Which one matches after you do your first step?
6x+10=23

Possible Answers:
A. 6x=13
B. 6x = 33
C. 23 = 10 -6x
D. -23 =-6x+10

Answers

I believe it would be A
Answer is:
A. 6x = 13

Explanation:
The next step after 6x+10=23 is to subtract 10 on both sides so you’ll be only left with your coefficient and variable which is 6x on one side and your constant on the other side.

6x + 10 = 23
6x + 10 - 10 = 23 - 10
6x = 23-10
6x = 13

Hope this helped :3

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Answers

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

In the figure,Line x is parallel to line y. identify the angles congruent to angle 3

Answers

Answer:

For example, slide ∠ 1 down the transversal and it will coincide with ∠2. are equal in measure. If two parallel lines are cut by a transversal, the corresponding angles are congruent. If two lines are cut by a transversal and the corresponding angles are congruent, the lines are parallel.

Step-by-step explanation:

Destiny makes earrings and bracelets to sell. She makes a profit of $15 for
every pair of earrings she sells and a $12 profit for every bracelet she sells
The cost of making one pair of earrings is $4 and the cost of making one
bracelet is $6. She only has $36 she can spend this week to make her
merchandise. She knows she wants to make at least 8 pieces of
merchandise to sell this week. What is the maximum profit she can make
based on these constraints? (If you do not have access to graph paper to
complete this problem, you can use Desmos to graph the constraints.
Remember the steps, 1. Define Variables, 2. List Constraints, 3. Graph and
shade feasible region, 4. Plug in vertices to objective function to find
maximum profit) *

Answers

Answer:

$135

Step-by-step explanation:

She would make 9 pairs of earrings, they have the least cost and the highest profit. No other combination would yield a higher profit.

Patriciodeposits $500 in the same account that pays a 1.5% simple interest he does not withdraw any money from the account any makes no other deposits how much money does Patricio happiness saving account after 5 years​

Answers

Answer: $537.5

Step-by-step explanation:

$500 at 1.5% for 5 years

p x  r x t = i

500 x 0.015 x 5= 37.5

37.5+500=537.5

A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr

Answers

The average speed of the car for the given distance is 91.97 km/hr.

What is speed and velocity?

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

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plz help me pls
8 hr = _________ min

30 min = _________ s

15 hr = ___________ min

5 yr = ____________d

7 d = ____________ hr

24 hr = __________ min

600 s = __________ min

60,000 min = __________ hr

Answers

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

Other Questions
The lines shown below are parallel. If the green line has a slope of-4, what isthe slope of the red line?10A.B. 4- 10-5510C. -4O-5D.410 - #11Please help ASAPExtra 500 points and brainliest Parts of a computer software Money at your company is not secured, and you could easily steal $10,000 without ever getting caught. Would you do it knowing you could get away with it? Why or why not? MY BIRD BIT ME TOT TOT TOT TOT TOT please help match the features with the software Word Processor, Spreadsheet, Database - addiction of images, drawings, tables and graphics to text - centralized data management - data security - digital version accounting sheets - supports multiple users for adding data simultaneously - visual representation of data- digital version of a typewriter please show an actual answer i need help Clarify the term fair discrimination Identify the percent of increase from 25 to 65. (To the nearest tenth of a percent) Calculate the annual cash dividends required to be paid for each of the following preferred stock issues:Required:a. $3.30 cumulative preferred, no par value; 210,000 shares authorized, 146,000 shares issued. (The treasury stock caption of the stockholders' equity section of the balance sheet indicates that 40,653 shares of this preferred stock issue are owned by the company.) (Round your answer to 2 decimal places.) b. 5%, $40 par value preferred, 293,000 shares authorized, 165,000 shares issued, and 72,725 shares outstanding. (Round your answer to 2 decimal places.) c. 12.2% cumulative preferred, $100 stated value, $108 liquidating value; 81,000 shares authorized, 42,000 shares issued, 26,000 shares outstanding. Which of the following statements correctly describes the relationship between erosion and deposition? A. Erosion breaks rocks into pieces, and deposition moves the pieces. B. Deposition and erosion both involve the movement of small pieces of rock from one place to another. C. Erosion is the movement of small pieces of rock from one place to another, and deposition is when the rock settles in a new location. D. Deposition and erosion break rocks into smaller pieces, but the rocks remain in place. Assume a division of Hewlett-Packard currently makes 12,000 circuit boards per year used in producing diagnostic electronic instruments at a cost of $34 per board, consisting of variable costs per unit of $24 and fixed costs per unit of $10.Further assume Sanmina-SCI offers to sell Hewlett-Packard the 12,000 circuit boards for $34 each.If Hewlett-Packard accepts this offer, the facilities currently used to make the boards could be rented to one of Hewlett-Packard's suppliers for $46,000 per year.In addition, $6 per unit of the fixed overhead applied to the circuit boards would be totally eliminated.Calculate the net benefit (cost) to HP of outsourcing the component from Samina-SCI.(Use a negative sign with your answer, if appropriate.) In which sentence is the underlined modifier correctly placed?The store sells ugly children's pajamas.The store sells pajamas for children that are ugly.The store sells ugly pajamas for children. Could someone please go to my last question and answer it pls help me on this !!! The diagram represents a wave pattern in a certain medium. Answer the following questions based on the diagram.Referring to Figure 23-2A, the wavelength in the diagram is represented by the distance from: what is the definition of dog Work out the answer when,'the largest prime number that is a factor of 35'is multiplied by'the smallest prime number that is a factor of 12'.[2] I never knew that Baby Luigi could beatbox, until Iheard him at the hip-hop festival. The coordinate grid shows the plot of four equations.Which set of equations has (-1, 5) as its solution? (4 points)1) A and B2) B an d 3) A and C 4) B and C