A circular field has an area of about 4,000,000 square yards. Write an equation that
represents the boundary of the field. Let (0, 0) represent the center of the field. Use
A= 7m2 to find r (Round to the nearest whole number).

A Circular Field Has An Area Of About 4,000,000 Square Yards. Write An Equation Thatrepresents The Boundary

Answers

Answer 1

Answer:

[tex]x^2 + y^2 = 1273885[/tex]

Step-by-step explanation:

Given

[tex]Area = 4000000[/tex]

[tex](h,k) =(0,0)[/tex]

Required

The equation of the circle

First, we calculate the radius of the circle using;

[tex]Area = \pi r^2[/tex]

This gives:

[tex]4000000= \pi r^2[/tex]

Divide both sides by [tex]\pi[/tex]

[tex]\frac{4000000}{\pi}= r^2[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]\frac{4000000}{3.14}= r^2[/tex]

[tex]1273885.35032= r^2[/tex]

Approximate

[tex]1273885= r^2[/tex]

Rewrite as:

[tex]r^2 = 1273885[/tex]

The equation of the circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where:

[tex](h,k) =(0,0)[/tex]

[tex]r^2 = 1273885[/tex]

So, we have:

[tex](x - 0)^2 + (y -0)^2 = 1273885[/tex]

Open brackets

[tex]x^2 + y^2 = 1273885[/tex]

(c) is correct.

The difference in [tex]x^2 + y^2 = 1273885[/tex] and (c) in the question is due to approximation


Related Questions

4.
A machine makes a staple from 20mm of wire. How many
staples will it make from 50cm of wire?

Answers

Answer:

25

Step-by-step explanation:

(50 cm (centimeters))/(20 mm (millimeters))

Result:

25 m/m (meters per meter)

25

2500%

Unit conversions:

15.53 mi/km (miles per kilometer)

25 mi/mi (miles per mile)

25 squares

Interpretation:

length ratio

ZABD and DBC are supplementary angles
What is the measure of x?
x = [?]
D
As
x 78
B
>C
Angles are not chanm to scale

Answers

Answer:

f

Step-by-step explanation:

<x=102°

Step-by-step explanation:

<x+78=180 being supplementary

<x=180-78=102

Hi what is 2+2 don't answer that but hi I'm Layla

Answers

hi..i’m kaitlyn..how is your day going so far?

The answer is 4! Please give brainliest it is very easy question and answer unless you're  a few months old, which you're probably not that smart to be here. Anyways, go continue whatever else ur doing i guess

A publisher reports that 35% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 190 found that 32% of the readers owned a laptop. Is there sufficient evidence at the 0.10 level to support the executive's claim

Answers

Answer:

The pvalue of the test is 0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Step-by-step explanation:

A publisher reports that 35% of their readers own a laptop.

This means that the null hypothesis is:

[tex]H_0: p = 0.35[/tex]

A marketing executive wants to test the claim that the percentage is actually different from the reported percentage.

This means that the alternate hypothesis is:

[tex]H_{a}: p \neq 0.35[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.35 is tested at the null hypothesis:

This means that [tex]\mu = 0.35, \sigma = \sqrt{0.35*0.65}[/tex]

A random sample of 190 found that 32% of the readers owned a laptop.

This means that [tex]X = 0.32, n = 190[/tex]

Z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.32 - 0.35}{\frac{\sqrt{0.35*0.65}}{\sqrt{190}}}[/tex]

[tex]z = -0.87[/tex]

pvalue of the test and decision:

As we are testing that the mean is different from a value and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -0.87

Looking at the z-table, z = -0.87 has a pvalue of 0.1922

2*0.1922 = 0.3844

0.3844 > 0.1, which means that there is not sufficient evidence at the 0.10 level to support the executive's claim

Jocelyn was able to get a great interest rate on her house. She financed $150,000 for 15 years with an interest rate of 2.75%.
How much will she pay in interest over 15 years?
61,875

By the time she pays off her mortgage, how much total will she have spent for her house?

Answers

Answer:

She will pay $33,228 in interest over 15 years for a mortgage of $150,000 with an interest rate of 2.75%.  

By the time she pays off her mortgage in 15 years, she will have spent $183,228 total for her house.  

Step-by-step explanation:

CAN SOMEONE PLEASE ANSWER THIS QUICKLY I DONT GOT TIME​

Answers

Answer:

1: 3/32. 2: 3/8. 3: 1/20

my dear

Which of the following is used by a seller to deceive a buyer? a. bait and switch b. contest c. display d. introductory offer

Answers

the answer is a. bait and switch

Jessica is having dinner at a restaurant with several friends. She receives her bill which is
$22. She has a coupon for a 5% discount. After the discount is applied there is a 9% sales tax.
What is Jessica's total bill?
$20
$22
$20.78
$22.78

Answers

Answer:

22.78

Step-by-step explanation:

22 x 0.05 = 1.1

22 - 1.1 = 20.9

20.9 x 0.09 = 1.881

20.9 + 1.881 = 22.781

2) Ms. Smith, a math teacher, recently gave a mathematics quiz in her class. The ten quiz scores were: 89 87 93 90 12 91 88 87 83 91



a) Based on the test scores above, would you say the class did well? Why or why not?






b) If you were Ms. Smith, which average would you use to describe the data: mean, median, or mode?

Answers

Answer:

Step-by-step explanation:

The average is 81 a low B, but if you throw out the low score it rises to 88.8, a high B.

I would use the median 88, 89 since it is higher and is a more accurate representation of the majority of the class

A) Yes, we can say that the class did well.

B)I would choose median to describe the data.

How to find mean, median and mode?

Mean simply means average of the data given, Here,

[tex]Mean=\dfrac{89+87+93+90+12+91+88+87+83+91}{10} =80.9[/tex]

Median is the value of data set (when arranged in ascending order) that divides it into two sets and is often called the middle number. When no. pf values in data set is even, the median is N/2.

Here,

[tex]Median=\dfrac{10}{2} ^{th}=5^{th} term=88[/tex]   (data taken in ascending order)

Mode is the value which has largest frequency among the all the other values.

Here, Mode is 87 and 91.

A) The class did well if we consider the data from point of view of its median and mode, but the average value is a bit low as we have a drastically low value that is 12.

B) I would describe the data by median because the class mean is very low and as there are 2 mode values, it is not the best representation of the score. The median of the set is a high and singleton value, therefore the most accurate measure of central tendency would be median.

To know more about mean, median, mode refer:https://brainly.com/question/25750771

#SPJ2

Which equation best matches the graph shown to the right?

Answers

Answer:

y=1x+20

Step-by-step explanation:

character requirement

Can someone please help me find the area of the figure.

Answers

Answer:

area = 41 ft²

Step-by-step explanation:

area = (3x3) + (4x8) = 41 ft²

Gavin, Colin and Dan share some sweets in the ratio 4:5:3. Gavin gets 20 sweets. How many sweets are there altogether?

Answers

9514 1404 393

Answer:

  60

Step-by-step explanation:

Gavin has 20/4 = 5 times as many sweets as his corresponding number of ratio units. The total number of ratio units is 4+5+3 = 12, so the total number of sweets is 5×12 = 60.

There are 60 sweets altogether.

_____

They are divided as ...

Gavin: 20Colin: 25Dan: 15

Solve the following


NO BOTS OR PEOPLE WANTING POINTS

Answers

Answer:

-1

Step-by-step explanation:

Area of Composed figures

PLEASEEE RN

Answers

Answer:

33 ft²

Step-by-step explanation:

The area of the outdoor carpet = area of trapezoid + area of rectangle + area of triangle

✔️Area of trapezoid = ½(a + b)h

Where,

a = 6 ft

b = 3 ft

h = 11 - 9 = 2 ft

Area of trapezoid = ½(6 + 3)*2 = 9 ft²

✔️Area of rectangle = L*W = 7 *3 = 21 ft²

✔️Area of triangle = ½bh

b = 2 ft

h = 3 ft

Area = ½*2*3 = 3 ft²

✅Area of the outdoor carpet = 9 + 21 + 3 = 33 ft²

multiply the following
1)34/7×3
2)3/8×7
3)3/4×7​

Answers

Answer:

1) 102/21

2) 21/51

3) 21/24

Step-by-step explanation:

Pls help me on this question!!

Answers

Answer:

D

Step-by-step explanation:

7/10 + 3/10 = 1

Answer:

D

Step-by-step explanation:

I need assistance on what to do

Answers

Answer:

156.9

Step-by-step explanation:

∠x=4(∠y)

Angles in a triangle add to 180:

∠x+∠y+90=180

4(∠y)+∠y=90

5(∠y)=90

∠y=18

The left side of the parallelogram is opposite ∠y, which we know, and we know the adjacent (marked as 57) so we can use tan:

tanA=opposite/adjacent

tan18=(side)/57

side=18.5204226853

Similarly, we can find the base of the shape using cos:

cosA=adjacent/hypotenuse

cos18=57/(base)

base=59.9333467816

Perimeter = 2(side)+2(base)

=2(18.5204226853)+2(59.9333467816)

=37.0408453706+119.866693563

=156.907538934

≈156.9


[tex]65 - 2 \times b = 55[/tex]

Answers

Answer:

b = 5

Step-by-step explanation:

- add -65 at the two members:

65-65 -2b = 55-65

-2b = -10

- divide the two members for -2

b = 5

B = 5

Explanation-
-2b=55-65
-2b=-10

Amir made an 8 by 6 array of cupcakes.Then he broke it into two smaller arrays.Which two products can Amir all to find the total number of cupcakes?

Answers

Answer:

48

Step-by-step explanation:

All you need to do since this is an array all you need to do is multiply the 2 smaller ones together.

find a20 of a geometric sequence of the first few terms of the sequence given by -1/2;1/4;-1/8;1/16

Answers

Answer:

[tex]a_{20} = 1/1048576[/tex]

Step-by-step explanation:

Given

[tex]Sequence: -1/2;1/4;-1/8;1/16[/tex]

Required

Determine [tex]a_{20[/tex]

Since it is a geometric sequence, first we need to calculate the common ratio (r)

[tex]r = \frac{a_2}{a_1}[/tex]

From the sequence:

[tex]a_2 = 1/4[/tex]

[tex]a_1 = -1/2[/tex]

[tex]a_1[/tex] is the same as [tex]a[/tex]

So:

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{1/4}{-1/2}[/tex]

[tex]r = -1/2[/tex]

[tex]a_{20[/tex] is then calculated as:

[tex]a_n = ar^{n-1}[/tex]

Where

[tex]n = 20[/tex]

[tex]a_{20} = ar^{20-1}[/tex]

[tex]a_{20} = ar^{19}[/tex]

[tex]a_{20} = (-1/2) * (-1/2)^{19}[/tex]

Apply law of indices

[tex]a_{20} = (-1/2)^{1+19}[/tex]

[tex]a_{20} = (-1/2)^{20}[/tex]

Evaluate the exponent

[tex]a_{20} = 1/1048576[/tex]

PLEASE HELP ME ALSO SOLVE THIS

Answers

Answer:

hiii

Step-by-step explanation:

hiii

what is the degree of the polynomial 9m4−4m3+8m−5

Answers

Answer:

4

Step-by-step explanation:

The highest/exponent of the variable is the degree of the polynomial.

[tex]9m^{4} - 4m^{3} + 8m - 5[/tex]

Here, the highest degree of the variable m is 4

So, degree of the polynomial = 4

Find the zeros of the polynomial m2 - 11m + 18.

Answers

Answer:

Step-by-step explanation:

The zeroes are the values of such that

m² - 11m + 18 = 0

Quadratic formula:

m = [11 ± √(11² - 4∘1∘18)]/[2∘1]

= [11 ± √49]/2

= [11 ± 7]/2

= 9, 2

If Anna divides the ingredients equally into 4 pots, how many cups of onions will she need in each pot?

Answers

Answer:

1/4 of however many cups of onions she starts with

Step-by-step explanation:

I see no attachment and it doesn't say in your question how many onions she has. All you have to do is take the total amount of onions and divide it by 4 since she is splitting her total into 4 pots.

The length of a rectangle is 5 less than twice the width, and the area of the rectangle is 52 ft^2. Find the dimensions of the rectangle.

Answers

9514 1404 393

Answer:

  6.5 ft wide by 8 ft long

Step-by-step explanation:

We can let x represent the width of the rectangle. Then the length is ...

  L = 2x -5

and the area is ...

  A = LW = (2x -5)(x) = 52

  2x² -5x -52 = 0 . . . . . put in standard form

  (2x -13)(x +4) = 0 . . . . factor

  x = 6.5, -4 . . . . . . . . . . values that make the factors zero

The length is then ...

  L = A/W = 52/6.5 = 8

or

  L = 2W -5 = 2(6.5) -5 = 13 -5 = 8

The rectangle is 6.5 feet wide and 8 feet long.


Which system of equations has infinitely many solutions?

Answers

Answer:

Step-by-step explanation:

ìť ìś the 2ńď òñè

13/5 as mixed number add and subtract

Answers

Answer:

2 and 3/5

Step-by-step explanation:

5 can go into 13 twice and u have 3 left over which equals 2 and 3/5

hope this helps

What is a song or poem describing the four operations of integers?

Answers

Step-by-step explanation:

We have four fundamental operations on integers. They are addition, subtraction, multiplication, and division.

in January, Jamie pays $2.00 for a tube of toothpaste.
When she buys the same brand and size toothpaste in
February, she pays $2.25. what is the percent increase in the price of the toothpaste from january to february? round to the nearest tenth of a percent?
please hurry

Answers

Answer:

12% or 13% rounded

Step-by-step explanation:

.25 of 2.00 is .125 or 12% or 13% rounded

Find the conjugate and product of

2-i5 ​

Answers

Answer: [tex]2+i5,\ 29[/tex]

Step-by-step explanation:

Given

Complex number is [tex]2-i5[/tex]

Its conjugate is obtained by changing the sign of the original number i.e. [tex]2+i5[/tex]

The product of the two numbers is

[tex]\Rightarrow (2-i5)(2+i5)=2^2-(5i)^2\quad \quad [(x+y)(x-y)=x^2-y^2]\\\\\Rightarrow (2-i5)(2+i5)=4-25i^2\\\\\Rightarrow (2-i5)(2+i5)=4+25=29[/tex]

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