The sides of a square field are 28 meters. A sprinkler in the center of the field sprays a circular area with a diameter that corresponds to a side of the field. How much of the field is not reached by the sprinkler? Round your answer to the nearest hundredth. Use 3.14 for π.

Answers

Answer 1

Answer:

168.24784 m²

Step-by-step explanation:

Area of the square:

28 x 28=784 sq. m.

Area of the circle:

π(r²)=π(14)²=196π

    =615.75216

Area not covered by the sprinkler:

784-615.75216=168.24784 m²

Answer 2

Answer:

The sprinkler does not reach 168.56 m² of the field.

Step-by-step explanation:

Find the circular area sprayed by the sprinkler.

A = πr² Use the formula.

A = π(14)² Substitute. Use 14 for r.

A ≈ 3.14 × 14² Substitute. Use 3.14 for π.

A ≈ 3.14 × 196 Evaluate the power.

A ≈ 615.44 Multiply.

The area of the circular area is about 615.44 ft².

Find the area of the square field.

A = s² Use the formula.

A = 28² Substitute. Use 28 for s.

A = 784 Evaluate the power.

The area of the square field is 784 m².

Find how much of the field is not reached by the sprinkler. Subtract the circular area sprayed by the sprinkler from the area of the square field.

784 − 615.44 = 168.56


Related Questions

Which property does this example show x + y + 0 = x + y

Answers

Answer: Identity Property of Zero

Noah bought a new car. It gets 21.7 miles per gallon
of gas on the highway. His gas tank is able to hold 14
gallons of gas. How many miles can Noah travel on the
highway on one tank of gas?

FIRST TO ANSWER GETS BRAINIEST

Answers

303.8 because one tank holds 14 gallons and each gallon get 21.7 miles

Grade 7 Unit 4 District Assessment 2020-21 Question: 1 Jacob saw a model of a building that will be built in his city. The model has a height of 40 centimeters and will be built to a scale of 1:50. What is the actual height of the building? (1 m = 100 cm)​

Answers

Answer:

123334

Step-by-step explanation:

Which measure describes how much a sample mean varies when different samples are chosen?

Answers

Step-by-step explanation:

the most common measure of how much sample mean differ from each other is the standard deviation of the sampling distribution of the mean. this standard deviation is called the standard error of the mean

Find the surface area of this cylinder using pie.

Answers

Answer:

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

Step-by-step explanation:

Given

radius = r = 2 in height = h = 7 in

Using the formula to determine the surface area of a cylinder:

[tex]A=2\pi \:rh+2\pi \:r^2[/tex]

[tex]A=\left(2\times \pi \times \:2\times 7\right)+\left(2\times \pi \times \:2^2\right)\:[/tex]

[tex]\:\:\:A=36\pi \:[/tex] in²

Thus, the surface area of a cylinder involving pie is:

[tex]\:\:\:A=36\pi \:[/tex] in²

or

[tex]A\approx 113.1[/tex] in²

Simplify:
12+(-38) + 27
A.-77
B. -53
C. - 1
D. 1
E 77

Answers

The answer is D. 1


I hope I’m correct

Answer: the answer is 1

Step-by-step explanation: just simplify it

Find the x and y intercept of the line below

2x + 5y = 10

Answers

Answer:

x - intercept = 5

y- intercept = 2

Step-by-step explanation:

2x + 5y = 10

Write the equation in   [tex]\frac{x}{a}+\frac{y}{b}=1[/tex]  form

So, divide the equation by 10

[tex]\frac{2x}{10}+\frac{5y}{10}=\frac{10}{10}\\\\\frac{x}{5}+\frac{y}{2}=1[/tex]

x - intercept = 5

y- intercept = 2

Answer:

(5,0) and (0,2)

Step-by-step explanation:

Basically, all we need to do is enter 0 for both variables. We can do this because the y-value of an x-intercept will always be 0, and the x-value of a y-intercept will always be 0.

So, to find the x-intercept we can set y equal to 0 and then solve for x.

[tex]2x+5(0)=10\\2x=10\\x=5[/tex]

So the x-intercept will be (5,0).

We can do the same thing to find the y-intercept.

[tex]2(0)+5y=10\\5y=10\\y=2[/tex]

The y-intercept is (0,2)

Hope this helps!

Some doctors recommend that men drink 3 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 3 liters?

Answers

there are 33.841 fluid ounces in a liter so 33.841 x 3 is approximately 101 fl oz.

Jacob started a savings account with a 1% annual simple interest rate. His principal deposit was $147. He saved the money for 6 years. How much interest did he earn after 6 years?

Answers

Answer:

The interest Jacob earns after 6 years is $8.82

Step-by-step explanation:

The given parameters are;

The simple interest rate of the savings account, R = 1%

The principal deposit to the savings account, P = $147

The time duration Jacob saved the money, T = 6 years

The formula for simple interest, I, is given as follows;

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Substituting the known values gives;

[tex]I = \dfrac{147 \times 1 \times 6}{100} = 8.82[/tex]

The interest Jacob earns after 6 years = $8.82.

What is the solution to the system of equations below? 2. y=ģX-3 and x = -10 - O (-10,-7) O (-10,-1) O (-7, -10) O (-1,-10)
I need help with the answer can someone help me

Answers

Answer:

-2 -20

Step-by-step explanation:

What is the gravitational PE of the same 61.2 kg person standing on the 6th floor (Each story is 2.5 m high)?

Answers

Answer: U is the change in PE, m is the mass raised through a distance h. So, given m = 61.2 kg, each 1 m rise is an increase of (61.2)(9.8) = 600 J. Likewise, each floor (2.5 m) represents a change in PE of 1500 J for this mass.

Please give the code word and the method as to how you did it

Answers

Answer:

1. true 2. true 3. false 4. false 5. false

15 + 15 + 10 + 10 + 10 = 60/5 = 12 ( CODE WORD)

Step-by-step explanation:

1. There are different forms of linear equations. Slope intercept has it's equation y = mx + b

2. A proportional relationship has a constant rate of change.

ex: y =2x +5, then the rate of change is 2 and it only ever rises by 2.

3. A proportional relationship must pass through the origin in order to be a proportional relationship.

4. The variable M in slope-intercept form represents the slope. B represents the Y-intercept.

5. Standard form for a linear equation is Ax+By=C. Y = MX+B is slope-intercept form.

CODE WORD: 12 or Twelve is correct because 12 is the mean of all 5 answers.

Solve one-step and two-step equations: word problems

Answers

Answer sorry

Step-by-step explanation:

i honestly don’t know the answer

1. The base of an open rectangular tank is 3.2 m by 2.8 m. Its height is 2.4 m. It contains
water to a depth of 1.8 m. Cal culate the surface area inside the tank that is not in conta
with water.

Answers

Answer:

16.64 m

Step-by-step explanation:

Subtract the depth of the water from the height of the tank (0.6) and use this measurement for height instead. then calculate l•h•2+w•h•2+l•w

(we multiplied the length and height and the width and height by two since there’s two sides with the same measurement for each)

Natalie walked 3\5 mile in 1\2 hour. How fast did she walk, in miles per hour?​

Answers

1.2 m/h i thinkkkk
ps can u make me brainsh** think pls

Answer:

The answer is 6/5

Step-by-step explanation:

( 3 /5 )( 2 /1 )

(3)(2) /(5)(1)

6 /5

Hope this helps!

You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.

Answers

Answer:

4500

Step-by-step explanation:

10000 x .09 x 5

A drink recipe calls for prune juice and carrot juice. This equation represents the proportional relationship between the number of quarts of prune juice (p) and carrot juice (c) in the recipe. 4p = 12c. Enter the number of quarts of carrot juice used for 1 quart of prune juice.

Answers

Answer:

The number of quarts of carrot juice used is approximately 0.3333.

Step-by-step explanation:

The proportional relationship between the quarts of prune juice (p) and carrot juice (c) in the recipe is given as;

     4p = 12c

Thus for 1 quart of prune juice, the quarts of carrot juice required can be determined by;

i.e p = 1

So that,

4 x 1 = 12c

4 = 12c

c = [tex]\frac{4}{12}[/tex]

  = [tex]\frac{1}{3}[/tex]

  = 0.3333

The number of quarts of carrot juice used is approximately 0.3333.

The Kellam Booster Club made $1,638 selling tickets to the football games this season. A child's ticket costs $3 and they sold 120 of them. An adult ticket costs $9. How many adult tickets did they sell?

Answers

Answer:

They sold 142 adult tickets.

Step-by-step explanation:

120x3=360

142x9=1278

1278+360=1638

Molly rewrote the equation as shown:
-50 + 11 = 8 - 3d
-5d + 11 + 3d = 8 - 30 + 3d
Which property did she use to rewrite the equation?
O addition property of equality
o distributive property
O multiplication property of equality
O substitution property

Answers

Answer:

addition property of equality

Addition property of equality

Two farmers sell peanuts. The table and the graph below represent the two farmers where f(x) is the cost in dollars for x pounds of peanuts. What is the difference in the rate of change for the two functions

Answers

Answer:

number 2

Step-by-step explanation:

What does 9+10 equal?

Answers

Lol... is 20 lol jkjk is 19 thx for the points ❤️

PLEASE HELP ASAP DUE In 5 MINUTES

Answers

C hahjfmroahcnfnosjajd

math sucks ugh need more help

Answers

Answer:

3 is the correct answer

Step-by-step explanation:

I believe this is correct.

Hope this helps!

Answer:

3) the vertex is moved to the left 7 units

Step-by-step explanation:

When a number is inside the () and is being added or subtracted it goes to the opposite of the sign if it is + it goes left if it is - it goes right however with linear functions it is + right - left

I will mark you

Given the relation: (0,0), (5,10), (6,12), (10,20) and based on the definition of function, is that relation a function?

Why or why not?

Answers

Answer:

Yes, because the x's do not have more than one y.

Step-by-step explanation:

x      y

0      0

5       10

6       12

10     20

(That's meant to be a table). Looking at the x and y table values, you can see that none of the x's have two y's. So, this relation is a function.

1. 3 cans of pudding costs $2.48 at Store A and 6 cans of the same pudding costs $4.50 at Store B. Which store has the better buy on these cans of pudding?

Answers

Answer:a

Step-by-step explanation:

Answer:

Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can  it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.

What is the least common multiple (LCM) of 5 and 9?
14
35
40
45

Answers

Answer:

35

Step-by-step explanation:

The lest commone multiple is 45 I hope this helps

What happens when the smog lifts in Los Angles, California , (Please help me or just leave the answers in the Comments )

Answers

Answer:

gang wars

Step-by-step explanation:

Answer to 1 = 33
Explanation: All you have to do is us e the formula
A+b+c=p
Substitute abc with the side lengths and then add then add them together

A pack of five basic solid T-shirts costs $29.95 in a store. The sales tax where they are sold is 7.75%. What is the unit cost of a t-shirt, the price per t-shirt, with tax included?

$5.99
$6.45
$6.75
$6.99

Answers

Answer:

6.45

Step-by-step explanation:

29.95+7.75%=32.27

32.27/5

6.45

Please help!
What is the probability that the arrow will land on a number that is divisible by 3 ir Brian spins it one time?​

Answers

Answer:

%25

Step-by-step explanation:

An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.

Answers

Answer:

x² + 12

48m²

Step-by-step explanation:

Find the diagram attached.

The room can be segregated into two rectangles

The area of the room = Area of bottom rectangle + area of the top rectangle

Area of the bottom rectangle = x * (x-3) = x² - 3x

Area of the top rectangle = 3* (4+x) = 12 + 3x

The area of the room = x² - 3x + 12 + 3x

Area of the room = x² + 12

Hence the algebraic expression that the architect can use to find the area of the room is x² + 12

Given x = 6m

The area of the room = x² + 12

The area of the room = 6² + 12

The area of the room = 36 + 12

The area of the room = 48m²

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