A grounds crew is marking out a circular logo at the center of a football field. The logo will
have a circumference of 141.3 feet. What will be the diameter length of the logo in yards?

Answers

Answer 1

Answer:

circumference of a circle formula is C=2*pi*r

Step-by-step explanation:

then  

141.3 = 2*pi * r

solve for r

141.3/ (2*pi) = r

22.48859 feet

diameter is  2*r

2*22.48859= 44.9771 feet

divide by 3 because there are 3 feet in one yard

44.9771/3= 14.99239 yds.  

it doesn't say to round off, but I would call this 15 yds.

Diameter is 15 yards   ± .008 yds  That's just about 1/4 of an inch


Related Questions

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4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?



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8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?


9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?




10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?

What you need to do:

Please WRITE both equations for each problem, identify what your variables represent, and solve the system.

I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST if it gives me the option -

Answers

Hey there!

Question no.9:

Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?

Solution:

Let the number of cows be "x" and the number of chickens be "y".

According to question,

x + y = 25 4x + 2y = 72 -->(ii)

=> 4(x + y) = 25 × 4

=> 4x + 4y = 100 -->(i)

By Elimination method,

Equation (i) - (ii)

(4x + 4y) - (4x + 2y) = 100 - 72

=> 4x + 4y - 4x - 2y = 28

=> 2y = 28

=> y = 28/2

=> y = 14

Putting the value of "y" in Equation (ii)

4x + 2y = 72

=> 4x + 2 × 14 = 72

=> 4x + 28 = 72

=> 4x = 72 - 28

=> 4x = 44

=> x = 44/4

=> x = 11

Therefore,

Total number of cows = 11

Total number of chickens = 14

Note: In the second equation of this question I've taken 4 and 2.

The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.

And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.

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

Question no.10:

Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?

Solution:

Let the number of cows be "x" and the number of chickens be "y".

According to question,

x + y = 28 4x + 2y = 96 -->(ii)

=> 4(x + y) = 28 × 4

=> 4x + 4y = 112 -->(i)

By Elimination method,

Equation (i) - (ii)

(4x + 4y) - (4x + 2y) = 112 - 96

=> 4x + 4y - 4x - 2y = 16

=> 2y = 16

=> y = 16/2

=> y = 8

Putting the value of "y" in Equation (ii)

4x + 2y = 96

=> 4x + 2 × 8 = 96

=> 4x + 16 = 96

=> 4x = 96 - 16

=> 4x = 80

=> x = 80/4

=> x = 20

Therefore,

Total number of cows = 20

Total number of chickens = 8

Note: In the second equation of this question I've taken 4 and 2.

The reason behind it is simple. Since, I've assumed the number of cows is "x" and a cow has four legs that why infront of "x" I've put 4.

And a chicken has 2 legs and I've assumed it as "y" therefore infront of "y" I've put 2.

Hope it helps


What are the next three terms in the given sequence?
3, 16, 29, 42,
A) 54, 66, 78
B)
55, 68,81
C) 1,2,3
D) 55,70,83

Answers

Answer:

B) 55, 68,81

Step-by-step explanation:

42-29=13

29-16= 13

So 42 + 13= 55

55+ 13= 68

68+ 13= 81

Answer:

B)  55, 68, 81

Step-by-step explanation:

Given sequence:  3, 16, 29, 42

To determine if the sequence is arithmetic or geometric, work out the difference in the terms.

[tex]\sf 3 \underset{+13}{\longrightarrow} 16 \underset{+13}{\longrightarrow} 29 \underset{+13}{\longrightarrow} 42[/tex]

This sequence adds 13 each time, so as the common difference is constant, it is an arithmetic sequence.  To find the next term in the sequence, simply add 13 to the last term:

42 + 13 = 55

55 + 13 = 68

68 + 13 = 81

Therefore, the next three terms in the given sequence are 55, 68, 81

To solve this using the general form of an arithmetic sequence:

[tex]a_n=a+(n-1)d[/tex]

where:

[tex]a_n[/tex] is the nth terma is the first termd is the common difference between terms

Given:

a = 3d = 13

[tex]\begin{aligned}\implies a_n & =3+(n-1)13\\ & = 3+13n-13\\ & = 13n-10\end{aligned}[/tex]

Therefore, the next 3 terms in the sequence are:

[tex]\implies a_5=13(5)-10=55[/tex]

[tex]\implies a_6=13(6)-10=68[/tex]

[tex]\implies a_7=13(7)-10=81[/tex]

What’s the answer?????20 points!!!!

Answers

Answer:

i think 6,300

Step-by-step explanation:

Answer:

I believe the answer is c <3

1.1 Outline any FOUR non-price competition strategies that food outlets like Nandos, KFC, Chicken Licken and other businesses specialising in chicken, ensure their operational success in the monopolistic competitive firm.​

Answers

The food outlets can use these four non-price competition strategies to ensure their operational success in the monopolistic competitive market are:

Physical and quality improvementsOutlet locationTaste differentiationConsumer advertising.

What are non-price competition strategies?

Non-price competition strategies are competitive approaches that can help food outlets to de-emphasize pricing as a competitive strategy.

Instead of pricing, the food outlets can improve the physical and quality aspects of their chicken brands, increase consumer advertising, trade promotions, product differentiation, and locate their outlets in niche markets.

Thus, physical and quality improvements, outlet location and trade promotions, differentiation, and advertising can become non-price competition strategies for these food outlets.

Learn more about non-price competition strategies at https://brainly.com/question/1580879

Start time 8:10 am end time 10:55 am elPSED TIME’

Answers

Answer:

14 hours, 45 minutes

Step-by-step explanation:

The time between 8:10:00 AM and 10:55:00 PM is,

14 hours, 45 minutes, and 0 seconds or 14.75 hours

Savannah's favorite candles are so popular that the price has been
increased. The price for a 24 oz. candle used to be $20, but now it is $28.
By what percentage has the price been marked up? *

Answer
70%
85%
48%
40%

Answers

40% im pretty sure. im sorry if its wrong

Answer:

40%

Step-by-step explanation:

The increase was $8. Divide the increase by the original amount.

8/20 = .4

The decimal answer 0.4 converts to a percent answer of 40%. (.4×100=40)

The candle was marked up 40%.

3RD ONE JUST LIKE MY OTHER ONES 100 POINTS

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 2 units

2. 11y+4=180=16

3. 33 (close enough)

4. 3.2( ( wouldn't take this for granted)

5.1004.8

A Man borrowed Rs 500 for 3 years at the rate of 5% find his interest and amount​

Answers

Answer:

Total amount = $575.00I = PRT/100 = $75.00Equation:

Total amount = interest + principle

Step-by-step explanation:

Formula:- I = PRT/100

Where,

I is interestP is principleR is rateT is time

⇒ I = 500×5×3/100

⇒ I = 7500/100

⇒ I = 75

Interest is $75.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 5% per year for 3 years is $575.00.

Represent 56÷ 8 = 7 using subtraction. Explain your reasoning.

Answers

Answer:

56-8-8-8-8-8-8-8=0

Step-by-step explanation:

Probably just wants to show how many times you subtracted 8 until you got 0

Please help with this question! Thank you :)

Answers

Answer:

D. 116

Step-by-step explanation:

[tex]V=(\frac{1}{3})\pi r^{2}h[/tex]

V = (1/3)π(4)²(6.9)

V = 36.8π

V ≈ 115.55

Note: You will NEVER use slant height to calculate the area, only to calculate the normal height if unknown. In this problem, we did not use it at all so try not to get confused!

BRAINLIEST please if this helped!

A medical team has found that the blood concentration of a particular medicine has a
decay rate of 40% in 24 hours. How much of an initial dose of 1,000 mg of the medicine
will be detected after 48 hours? Round to the nearest mg. Use the formula A=A0e^-kt. (the value of T is 48/24=2)

A. 360 mg

B. 449 mg

C. 600 mg

D. 920 mg

E. 200 mg

Answers

i’m pretty sure it is B i took thsi a while ago

solve this :) i Will give brainly​

Answers

Answer:

g = 3

Step-by-step explanation:

Let :

wrapped candy = wlollipop = lgreen candy = g

The equations are :

w + w + l = 23l + l + 2l = 36w x w + g x g = 58w + w - g x l = 2

Finding l

Using Equation 2, solve for the value of l4l = 36l = 36/4l = 9

Finding w

Using Equation 1, solve for the value of w2w + l = 232w + 9 = 232w = 14w = 14/2w = 7

Finding g

Using either equation 3 or 4, we can find gLet's go with equation 3w² + g² = 5849 + g² = 58g² = 9g = 3

The sum of three numbers is 13. The sum of twice the first number, 5 times the second number, and 6 times the third number is 67. The difference between 5 times the first number and the second number is 7. Find the three numbers

Answers

Answer: 2,3,8

Step-by-step explanation:

if,

x+y+z=13

2x+5y+6z=67

5x-y=7

Solve [x+y+z=13 2x+5y+6z=67] to find: -3x+z=2 and keep

|

x+y+z=13

5x-y=7

6x+z=20 and -3x+z=2

z=8

x=2

y=3

que es una fracción decimal?

Answers

Answer:

Una fracción donde el denominador (el número de abajo) es una potencia de diez (como 10, 100, 1000, etc.). Puede escribir fracciones decimales con un punto decimal (y sin denominador), lo que facilita la realización de cálculos como la suma y la multiplicación de fracciones.

Step-by-step explanation:

espero que esto ayude


Which inequality is graphed on the number line

Answers

Answer:

2nd option: 3a-117

Step-by-step explanation:

Step 1: The inequality on the number line is:

[tex]a \leqslant 6[/tex]

Step 2: Take a look at the options. First we know that we want values of a which are less than 6 so we get rid of option 1 and 3.

Step 3: Since 6 is included in the inequality so we need to have a ≤ so 2nd option is correct.

QUICK NOTE: if we solve the inequality shown in the 2nd option we'll see it's gonna be a≤6

take a look:

[tex]3a - 11 \leqslant 7 \\ 3a \leqslant 18 \\ a \leqslant 6[/tex]

Find the distance of CD and the coordinate of the midpoint of CD

Answers

Answer:

Explanation:

Formula to calculate the distance between two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is,

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore, length of CD having coordinates C(3,1) and D(3, 3),

[tex]CD=\sqrt{(3-3)^2+(1-3)^2}[/tex]

[tex]=2[/tex] [tex]units[/tex]

Formula to find the midpoint of CD is,

[tex]M=\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}[/tex]

   [tex]=(\frac{3+3}{2},\frac{1+3}{2})[/tex]

   [tex]=(3,2)[/tex]

Therefore, length of CD = 2 units and (3, 2) are the coordinates of the midpoint of CD.

The ElA predicts that the United States has 216 billion barrels of crude oil reserves left. If 4 billion barrels are extracted each year, and extraction grows by 0.5% per year, how long will the reserves last?

Answers

Anwer o.5

Step-by-step explanation:

because 0.5 x 1 = 0.5

These are similar figures. Solve for x

Answers

the answer would be C
8 1/4 is the answer. To convert 1 to 2 3/4 you have to multiply 1 by 2 3/4 so, that mean you would have to multiply 3 by 2 3/4 or, 3 by 2.75 on a calculator which equals 8.25 which to be converted into a fraction is 8 1/4.

Apr 7, 2022 12:59pm
What is the volume?
19 m
18 m
9 m

Answers

Answer:

3078

Step-by-step explanation:

you didn't specify whats the length width and height

Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of the function y = 4x2 + 5x – 1.

Answers

Answer:

The option u chose is the correct one

Which function is the inverse of f(x)=-5x-4

Answers

multiplication of -5 and x

Please help me with this math problem, (: brainly if correct

Answers

The profit to the company will be maximum that means pear company should produce 11000 phones for the maximum profit.

What is a quadratic equation?

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Function representing the cost to the manufacturer is,

C(x) = -20x²+ 48000x + 19351

A function that represents the revenue generated is,

R(x) = -23x² + 114000x

Function representing profit to the company,

Profit = Revenue generated - Cost price

        = -23x² + 114000x - ( -20x²+ 48000x + 19351)

        = -23x² + 20x² + 114000x - 48000x - 19351

P(x)  = -3x² + 66000x - 19351

Since this function is a quadratic function, the maximum price generated would be x = -b/2a

From the given quadratic function, a = (-3), b = 66000 and c = -19351

x = - 66000/ 2(-3)

x = -66000/-6

x = 11000

x = 11000 the profit to the company will be maximum.

That means pear company should produce 11000 phones for the maximum profit.

Learn more about quadratic equations;

brainly.com/question/13197897

#SPJ!

Charlie takes a gymnastic class once a week. At each class, she buys a bottle of water for $0.75 and a protein bar for $2.50. Which of the following expressions represent the amount of money, in dollars, Charlie spends after attending 12 gymnastics classes? Select all that apply.

Answers

Answer:

$39

Step-by-step explanation:

[tex]12(.75 + 2.50) = 12(3.25) = 12(3) + 12(.25) = 36 + 3 = 39[/tex]

HELP MY SISTER NEEDS HELP IN MATH SHES SO STUCK

Answers

Answer:

J

Step-by-step explanation:

It’s the only one that makes 6

Please help on math.​

Answers

Answer:

Step-by-step explanation:

2hrs=70

so 4.5/2=2.25

2.25 times 70=$157.50

Can you answer both of them pls and do it as soon as possible I don’t have enough time

Answers

Answer:

green

Step-by-step explanation:

Green covers 1/4 of the circle space where the spinner can stop

I will give brainlisted for the correct answer. Due today!

Answers

Answer: Julio will have less pages to read. Julio has 30, Jake has 48

Step-by-step explanation:
This is what we know...
Jake: 168 pg at 24 pg / day If Julio reads at a rate of 1 1/4 what Jake reads we take the 24 pg and multiply that by 1.25 24 x 1.25 = 30 So now you know the Julio reads 30 pgs each day. Now you divide Jake's 168 pgs by 24 and you get that it would take him 7 days to read the book. At 5 days Jake still has 48 pages to read. Now, Julio's 180 pages divided by his 30 pages / day which will be 6 days to complete his book. At 5 days he will have only 30 pages to read.

Internet Viewing A researcher wishes to estimate the average number of minutes per day a person spends on the Internet. How olo
large a sample must she select if she wishes to be 99% confident that the population mean is within 10 minutes of the sample
mean? Assume the population standard deviation is 38 minutes. Round your final answer up to the next whole number.

Answers

Using the z-distribution, as we have the population standard deviation, it is found that a sample of 96 people must be taken.

What is the margin of error for the z-distribution?

It is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

z is the critical value.[tex]\sigma[/tex] is te population standard deviation.n is the sample size.

In this problem, we have a 99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so the critical value is z = 2.575.

Additionally, we have that [tex]\sigma = 38, M = 10[/tex], hence we solve for n to find the minimum sample size needed.

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]10 = 2.575\frac{38}{\sqrt{n}}[/tex]

[tex]10\sqrt{n} = 38 \times 2.575[/tex]

[tex]\sqrt{n} = 3.8 \times 2.575[/tex]

[tex](\sqrt{n})^2 = (3.8 \times 2.575)^2[/tex]

n = 95.7

Rounding up, a sample of 96 people must be taken.

More can be learned about the z-distribution at https://brainly.com/question/25890103

what is an area of a trapezoid

Answers

Answer:

144

Step-by-step explanation:

Required area= Area of rectangle +2×(Area of Triangle)

=(10×8)+2×(1/2×8×8)

=80+64=144 in²

Answer:

144 in²

Step-by-step explanation:

To solve for the area of a trapezoid divided into a parallelogram (in this case a rectangle) and two triangles, you calculate the area of each part and add it together.

the area of a triangle = (base • height) / 2

the area of a parallelogram = (base • height)

so:

1. Calculate area of first triangle. 8 • 8 = 64, 64/2 is 32

2. Calculate the area of the second triangle. Since in this situation you have two equal triangles, you multiply the answer to the first part by 2 and get 64 in² again.

3. Calculate the area of the rectangle. 8 • 10 = 80 in²

4. Add the two numbers together. 80 + 64 = 144 in²

Deposit $130 at 9.4% compounded daily for 2 years

Answers

Answer:

$ 155.59  after two years

Step-by-step explanation:

Future Value = 130 ( 1 + .094)^2

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