A square lawn has a area 98ft a spin keeper placed at the center of the lawn sprays water in a circular pattern that just covers the lawn what is the radius of the circle

Answers

Answer 1

Answer:

Step-by-step explanation:

Given the area of the square as A = 98ft²

The side length of the square will be equivalent to the diameter of the circle.

First we need to get the length of the square.

Area of a square = L^2

98 = L²

L = √98

L = 9.89 ft

Hence the diameter of the circle is 9.89 ft

radius = diameter/2

radius = 9.89/2

radius ≈ 4.95 feet

Hence the radius of the circle is approximately 4.95 feet


Related Questions

Simplify the expression below: (3−13)2+1442−5·2

Answers

Answer:

1412

Step-by-step explanation:

2*(3 - 13) + 1442 - (5 * 2)

Distribute the 2 to the 3 and -13, and multiply 5 and 2 together.

6 - 26 + 1442 - 10

Now simplify the expression by adding and subtracting the terms.

1412 is the answer.

#teamtrees #WAP (Water And Plant)

Multiply 1 4/5 * 1 ???

Answers

Answer:

9/5 or 1 4/5

Step-by-step explanation:

You’re welcome :)

Answer:

your answer will come to be 1.8

A particle moves along a straight line with the equation of motion s = t^{5} - 2 t^{4} Find the value of t (other than 0 ) at which the acceleration is equal to zero.

Answers

Answer:

t = 8/5

Step-by-step explanation:

I'm assuming the equation given is the velocity of the particle

Derive the equation

[tex]5t^4 - 8t^3[/tex]

Set it equal to 0 & solve for t

[tex]0 = 5t^4 - 8t^3\\8t^3 = 5t^4\\8 = 5t\\\frac{8}{5} = t[/tex]

The value of time at which acceleration is zero is required.

The required value of [tex]t=1.2\ \text{s}[/tex]

The function of motion is

[tex]s=(t)^5-2t^4[/tex]

Differentiating with time we get velocity

[tex]s'=5t^4-8t^3[/tex]

Again differentiating with time we get acceleration

[tex]s''=20t^3-24t^2[/tex]

Now acceleration [tex]s''=0[/tex]

[tex]0=20t^3-24t^2\\\Rightarrow 20t^3=24t^2\\\Rightarrow t=\dfrac{24}{20}\\\Rightarrow t=1.2\ \text{s}[/tex]

Learn more:

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What is the square root of 153 divided by 13
plz help me fast

Answers

Answer:

About 0.95

Step-by-step explanation:

Answer:

0.9514859136

Step-by-step explanation: I use calculator lol

A high school has 28 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 242 pounds?

Answers

Answer:

25%

Step-by-step explanation:

Looking at the attached diagram, we can see that the box plot is divided into 3 sections,

Q1 = First Quartile (1/4 the players) = 25%

Q2 = Second Quartile (2/4 = 1/2 of the players) = 50%

Q3 = Third Quartile (3/4 of the players) = 75%

From the attached diagram, the weight of 242 pounds is on the Third Quartile, this means , 75% of the players weigh 242 pounds and below

The percentage of players weighing greater than or equal to 242 pounds is calculated as: 100 - 75%

= 25%

The percentage of players weighing greater than or equal to 242 pounds is 25 %.

Quartile of Data ;From the attached diagram, we can see that the box plot is divided into 3 sections.[tex]Q_{1}[/tex] = First Quartile , which represent [tex]\frac{1}{4}[/tex] part of the player. That is 25%[tex]Q_{2} =[/tex] Second Quartile ,which represent 1/2 of the players= 50%[tex]Q_{3}=[/tex]Third Quartile , which represent 3/4 of the players = 75%

From the attached diagram, the weight of 242 pounds is comes on the Third Quartile.

It means that 75% of the players weigh 242 pounds and below

Hence, The percentage of players weighing greater than or equal to 242 pounds is,

                 [tex]100-75=25[/tex]

Learn more about the Quartile here:

https://brainly.com/question/10005803

2.5 divided by 1.5 round to nearest tenth

Answers

Answer:

1.7

Step-by-step explanation:

2.5÷1.5

5/3

1.66666

1.7

The divisions of 2.5 divided by 1.5 gives to 5/3 or 1.6667.

What is Division?

One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things.

Given:

2.5 divided by 1.5

So, 2.5 / 1.5

= 25 x 10 / 15 x 10

= 25/15

= 5 x 5 / 5 x 3

= 5/3

Hence, the divisions results to 5/3 or 1.6667

Learn more about Division here:

https://brainly.com/question/21416852

#SPJ2

Carli and Angela share a cell phone plan and split the bill each month. Last month, their total bill was $109. Carli went over her data limit on her phone, so her share of the bill was $15 more than Angela's to account for the overage charge. Which system of equations represents this situation?
A. c+a=15
c=a+109

B. c+a=109
c=a+15

C. c+a=109
a=c+15

D. c-a=15
c=a+109

Answers

Answer:

C

Step-by-step explanation:

Which equation represents a line that is parallel to the line whose equation is y=-3x?


A) 4x+2y=5
B) 2x+4y=1
C) y=3-4x
D) y=4x-2

Answers

It’s c skdjbssjsksjdbdb

Help for mon pls I’ll make you famous

Answers

Answer:

1. x>-1

2. x<4

3. x<-1

4. x>-2

5. x<-3

6. x<7

Step-by-step explanation:

1. 2x>-2  Divide both sides by 2.

  /2   /2

x>-1

2. 4x<16  Divide both sides by 4.

   /4   /4

x<4

3. x+4<3 Subtract both sides by 4.

      -4  -4

x<-1

4. 5x>-10  Divide both sides by 5.

  /5     /5

x>-2

5. 3x<-9   Divide both sides by 3.

   /3   /3

x<-3

6. x-4<3  Add 4 to both sides.

    +4 +4

x<7

Hope this helps you out...next time, try to figure it out yourself without asking a lot of questions. By looking at one example, you can probably apply what to do for the other inequalities.

A family drove from home to truckee at 55 mph and returned the same route at 40 mph due to a snow storm. the total travel time was 4.75 hours. Determine the distance between their home and truckee

Answers

Answer:

1.3245

Step-by-step explanation:

there are 18 people at the party. some are boys and some are girls. the number of boys is the same as the number of girls​

Answers

Answer:

9 boys 9 girls

Step-by-step explanation:

18 = 2x

9

A fair die is tossed 6 times. Find the probability that
(a) 1 “one”, 2 “twos” and 3 “threes” will turn up,
(b) each side will turn up once.

Answers

Answer:

Step-by-step explanation:

hi

Answer:

B

Step-by-step explanation:

Pls help it is due today!!!!!

Answers

Answer:

BRUH THIS WAS ON MY TEST AND BRUH HONESTLY I HAVE NO CLUEE

Answer:

A

Step-by-step explanation:

Cara's new car holds 13.5 gallons of gas. If gas costs $2.98 per gallon, how much would it
cost her to fill the gas tank from empty?
Submit
O
Lenovo

Answers

Answer:

$40.23

Step-by-step explanation:

Answer:

40.23

Step-by-step explanation:

easy just do 13.5*2.98

Find tan θ if sec θ = root 37/6 and sin θ < 0

Answers

hey love, that question has already been answered. Type this into the brainly search bar: Find tan θ if sec θ = square root of thirty seven divided by six and sin θ < 0

If cosθ=3/5, find tanθ

Answers

Answer and step-by-step explanation:

cos = adj/hyp (in a right triangle)

cos0 = 3/5

adj = 3

hyp = 5

opp = sqrt( 5^2 - 3^2) = sqrt( 25-9) = sqrt(16) = 4 (Pythogorean theorem)

tan0 = opp/adj = 4/3

Answer:

[tex]\boxed {\boxed {\sf tan( \theta)=4/3}}[/tex]

Step-by-step explanation:

Cosine is equal to adjacent over hypotenuse.

cos(x)=adjacent/hypotenuse

We are given: cosθ=3/5

Therefore, the adjacent is 3 and the hypotenuse is 5.

We want to find tanθ. Tangent is equal to opposite over adjacent.

We need to find the other leg of the triangle, which is the "opposite". Use Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

The hypotenuse (c) is 5.

[tex]a^2+b^2=5^2[/tex]

One leg (a) is 3, the other (b) is unknown.

[tex]3^2+b^2=5^2[/tex]

Evaluate all the exponents.

[tex]9+b^2=25[/tex]

Subtract 9 from both sides of the equation.

[tex]9-9+b^2=25-9[/tex]

[tex]b^2=16[/tex]

Take the square root of both sides.

[tex]\sqrt{b^2} =\sqrt{16}[/tex]

[tex]b=4[/tex]

Now we know the "opposite" is 4. We can find the tangent now.

[tex]tan(x)=opposite/adjacent[/tex] (opposite=4, adjacent=3)

[tex]tan( \theta)=4/3[/tex]

The tangent of theta is 4/3

X^3 = 1000 for math please help

Answers

Answer:

x=10

Step-by-step explanation:

since there are 3 zeroes in 1,000

x is 10

because 10^3=1000

Answer:

10

Step-by-step explanation:

which expression is equivalent to mn+z​

Answers

D is the answer....see the attachment

a square has a perimeter of 52 mm. The square is dilated by a scale factor of 3. what is the side length of the resulting image?

Answers

Answer:

39

Step-by-step explanation:

Since a square has 4 equal sides, it's safe to do [tex]\frac{52}{4}[/tex] to get each side length (each side is 13 mm).

Dilating a side means you're multiplying it by the scale factor. This means that you're doing [tex]13*3[/tex] to each side (each side is 39 mm).

1/3 exponent 4??? pls help immediately

Answers

1/3 to the power of 4 equals 1/81


there is a ratio of 7 boys to every 4 girls. If there are 64
s, how many boys are in the school?

Answers

Answer:

112

the answer is 112 :)))))

PLEASE HELP ME QUICK!!A train moves at a constant speed of 8 miles every 6 minutes. Fill in the table below to show how far the train travels according to different
amounts of time.

Answers

Answer:

1. 4

2. 20

3. 80

Step-by-step explanation:

Please help! I really need help please I will give Brainliest!
x + 2x + 12y + x
Part A: Using the expression shown, add like terms and produce an equivalent expression.
Please do B too
Part B: Rewrite your expression from Part A using the distributive property.

Answers

Answer:

A) 4x+12y

B) 2(2x+6y) is one way to do it

Step-by-step explanation:

1+1+2 is 4 and 12y cannot be added to anything.

2 x 2 is 2 ans 6 x 2 is 12

Use the method of lagrange multipliers to find

a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196

Answers

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

4x - 2y = -20
7x + 2y = -2

Answers

Answer:

(-2, 6)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Algebra I

Solving systems of equations using substitution/eliminationSolving systems of equations by graphing

Step-by-step explanation:

Step 1: Define systems

4x - 2y = -20

7x + 2y = -2

Step 2: Rewrite systems

4x - 2y = -20

Add 2y to both sides:                    4x = 2y - 20Divide 4 on both sides:                 x = 1/2y - 5

Step 3: Redefine systems

x = 1/2y - 5

7x + 2y = -2

Step 4: Solve for y

Substitution

Substitute in x:                         7(1/2y - 5) + 2y = =-2Distribute 7:                              7/2y - 35 + 2y = -2Combine like terms:                11/2y - 35 = -2Add 35 to both sides:              11/2y = 33Isolate y:                                   y = 6

Step 5: Solve for x

Define original equation:                    7x + 2y = -2Substitute in y:                                     7x + 2(6) = -2Multiply:                                                7x + 12 = -2Subtract 12 on both sides:                   7x = -14Divide 7 on both sides:                        x = -2

Step 6: Graph systems

Check the system.

6 friends all use $2 off coupons to buy themselves movie tickets. They spend a total of $42 Write the equation

Answers

Answer:

(C / n) + 2

Step-by-step explanation:

Amount spent (C) = 42

Number of friends (n) = 6

Coupon on ticket = $2

Original price of ticket will be :

Cost per coupon ticket = (Total amount spent / number of friends)

(Total amount spent / number of friends) + coupon on ticket

= (C / n) + 2

= (42 /6) + 2

= 7 + 2

= 9

Factorise fully the following 2x+8

Answers

2x +8= 2(x+4)
Where 2 is the common factor.

Select all that apply.

Which of the following are proportions?

25/10 = 5/2

3/4 = 8/10

2/8 = 3/12

3/4 = 15/20

Answers

Answer:

Step-by-step explanation:

3/4=15/20  are proportions

For every 3 you get a 4

So 5*3= 15 and 5*4=20

25/10 = 5//2 is another one.

Answer:

25/10 = 5/2

3/4 =15/20

Step-by-step explanation:

How many numbers can be squared to get a value of 0?

Answers

Maybe zero? Not sure

Answer:

1

Step-by-step explanation:

0^2 equals 0 but 1 and -1 the numbers closest equal 1 so only one number can be squared to get 0

what is the slope of the graph in the picture

pls help it's closing in 40 minutes

pls explain how you got the answer

Answers

Answer:

-2

or

-2/1

Explanation:

**Slope = rise/run**

By counting the distance between the points, from (0,3) to (1,1) , it went down 2 units and right by 1 unit

Answer:

m= -2

Step-by-step explanation:

Pick two points and subtract the y coordinates, then subtract the x coordinates, (0,3) and (1,1)  or (1,1) and (2,-1)

[tex]m = \frac{y_{2_ } - y_{1} }{x_{2} -x_{1} } = \frac{1-3}{1-0} = \frac{-2}{1} = -2[/tex]      [tex]\frac{-1-1}{2-1} = \frac{-2}{1} = -2[/tex]

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