The edge of a circular flower bed, 320 ft in diameter, needs mulch. How many cubic
yards (yd³) of mulch do you need if you want the mulch to cover 2 ft in from the edge to a
depth of 3.5 inches, all the way around

Answers

Answer 1

868.34 cubic yards (yd³) of mulch is needed to cover 2 ft in from the edge to a depth of 3.5 inches,

To calculate square feet for a circular area, measure the distance from the center of the bed to the outer edge (this is the radius  R) .Then area is given by square meters of circular area = [tex]R\times R\times\ 3.14[/tex]  ....(1)To determine the amount of mulch you need 1. Multiply the square feet of your bed by the number of inches of mulch you want to deep . 2. Divide this number by 324 . You will get the amount of mulch you need in a cubic yard.

It is given that a circular flower bed, 320 ft in diameter which means radius[tex]=\frac{320}{2}= 160 \ ft[/tex]

Putting r = 160 in equation (1) , we get

[tex]A=160\times160\times3.14\\A=80384 \ ft \ sqaure \ units[/tex]

We need the mulch 3.5 inches deep

[tex]80384\times3.5=281344[/tex]

On dividing the above number by 324 , we will get the required cubic yards  [tex]\frac{281344}{324} =868.34[/tex]

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Related Questions

The diameter of a circle is 30 ft. Find its area to the nearest whole number

Answers

Answer:

use air math it helps alot!

Step-by-step explanation:

by what factor would you need to change the radius of a sphere, such that its volume increased by a factor of 7? give your answer to two digits.

Answers

The factor by which radius of the sphere be changed is 1.91, which is calculated hy applying the concepts of surface area and volume on the assigned problem.

What do you mean by volume?

Volume is defined as the 3D measurement that deals with the amount of space required by an object. It is always calculated in cubic units. Its basic unit is cubic metre.

Calculation of the change in radius of sphere when its volume is increased by 7

Let the radius and volume of sphere be r and v respectively

Volume of sphere, v = 3.16 × ( r )3            —- 1

Now, changed radius, R = xr

Where x is the factor, we need to calculate

Changed volume, V = 7v = 3.16 × ( R )3          -— 2

From equations 1 and 2, we get,

7v / v = ( R )3 / ( r )3

7 = ( xr )3 / ( r )3

7 = (x)3 × 1

Taking cube root both sides,

x = 1.913

Hence, the factor by which radius of the sphere be changed is 1.91.

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Which graph shows the solution to the inequality? x − (5 − 3x) ≤ 2x − 1

Answers

Answer:

the answer is b

jsjsjsjsjsjsjsjsjsjsjsjsjsjsjs

Answer:

thank me later that's is the answer

PLEASE HELPP
What must be true for lines a and b to be parallel lines select two options.

Answers

There is two statement will be needed for lines A&B to be parallel linesin Angle .

m∠2 = 58°m∠1 = (4x-10)°

Given that

A figure that, showing 4 lines a,b,c and d.Angle between line b and c is (4x-10)°Angle between line b and c is 58°.

To find

True statements that prove the lines a and b are parallel.

So according the question

We have

Angle between line a and c = m∠1Angle between line a and d = m∠1Angle between line b and c = (4x-10)°Angle between line b and d = 58°Angle between line c and d = (3x-1)

There are two angles from the c and d lines with the lines a and b being equal that can be used to determine whether the lines a and b are parallel.

That's mean

Angle between line a and c = Angle between line b and c

                                              m∠1 = (4x-10)°                            

Angle between line a and d = Angle between line b and d

                                               m∠2 = (58)°          

                                               m∠2 = 58°          

Answer: There is two statements are true,

m∠1 = (4x-10)° and m∠2 = 58°

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I need help and its due Friday! If somone help me if will help so much and ty!!!

Answers

Down 3 on the x axis

Volume of Spheres

\






Volume of SpheresVolume of Spheres

Answers

5/3/1 is the answer gang get that A

ill give 50 points
Xena read 126 books in 9 months. Fill in the blanks on how you would solve this problem?
126 books/months=
books/1month=

Answers

Answer:

126 books/month= 14 books a month

books/1months = 14

Step-by-step explanation:

126/9=14

Answer:

14 books per month

Step-by-step explanation:

[tex]\frac{126books}{9 months}[/tex] = [tex]\frac{14books}{1month}[/tex]

write an equation of the line containing the given point and parallel to the given line. express your answer in the form ymxb. ​(​,​); xy

Answers

Answer:

cool cool

Step-by-step explanation:

cool

-4/-9, 11/12, -21/-18, 1/6 in ascending order. i really need this answerr please

Answers

Ascending order is 1/6< -4/-9< 11/12 < -21/ -18.

Here the fraction is -4/-9, 11/12, -21/-18, 1/6.

To know write the fraction in its ascending form, and convert the fraction into it's decimal form.

Therefore we have,

-4/-9 = 4/9 = 0.44

11/12 = 0.916

-21/-18 = 21/18 = 7/ 6 = 1.16

1/6 = 0.16

Therefore ascending order is 0.16< 0.44< 0.916 < 1.16. That is 1/6< -4/-9<11/12 < -21/-18.

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Heidi and Dan signed up for a cell phone plan with a brand new company called Bolt.

The price for 30 gigabytes of data and unlimited talk and text is $55.

Each phone costs $19 per month.

Taxes are $9.50 per month.

What is the cost for their current plan?

Answers

The cost for their current plan is $83.5

How to write and solve the cost for their current plan?

The given parameters are

Price for 30 gigabytes of data and unlimited talk and text = $55.

Phone costs = $19 per month.

Taxes =  $9.50 per month.

The equation of the cost for their current plan is represented as:

Total cost = Price for 30 gigabytes of data and unlimited talk and text + Phone costs + Taxes

So, we have

Total cost = 55 + 19 + 9.50

Evaluate the sum

Total cost = 83.5

Hence, the cost for their current plan is $83.5

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h(x)= 3x+2

find h(x+1)​

Answers

Answer- 3x+5

Step-by-step explanation:

Greetings !

Given expression :-

[tex]h(x) =3 x + 2[/tex]

Goal:-

Find

[tex]h(x + 1)[/tex]

Thus,

plug in x+1 in the first expression as follows;

[tex]h(x + 1) = 3(x + 1) + 2[/tex]

Expand:-

apply distributive law:-

[tex]a(b + c) = ab + ac[/tex]

solve

[tex]3(x + 1) = 3x + 3.1 \\ = 3x + 3 + 2[/tex]

add the numbers:- 3+2 = 5

Finally we get

[tex]h(x + 1) = 3x + 5[/tex]

Hope it helps !!!

DeltaMath -
Evaluate the function.

Answers

Answer: I hope this helps.

Step-by-step explanation:

Answer:

f(9) = -161

Step-by-step explanation:

Given function:

[tex]\sf -2x^2 + x - 8[/tex]

To find f(9), substitute x = 9 in the function:

[tex]\rightarrow \sf -2(9)^2 + 9 - 8[/tex]

[tex]\rightarrow \sf -2(81) + 9 - 8[/tex]

[tex]\rightarrow \sf -162 + 9 - 8[/tex]

[tex]\rightarrow \sf -161[/tex]

Solve the math problem

Answers

Answer:

there................

Math question is shown in the photo. Fairly easy, not sure why I'm having trouble with such a simple problem lol

Answers

Answer:

then solve it .....

Step-by-step explanation:

y did u post it if u knew

h= -51 will
Be your answer


Determine whether the stated conclusion is valid based on the given information. If not, write invalid. Explain your reasoning.Given: If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.
Conclusion: Dante obtained a part-time job.

Answers

The given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

What are statements and conclusions?

Logical reasoning essentially consists of a statement and a conclusion. In this part, a claim and several inferences will be made. It is necessary to select the statement's logically following conclusion.

Given that If Dante obtains a part-time job, he can afford a car payment. Dante can afford a car payment.

Conclusion: Dante obtained a part-time job.

From the given statement it is concluded that Dante obtained a part-time job which means that he is financially stable now to pay for the car.

Therefore, the given statement "If Dante obtains a part-time job, he can afford a car payment" is valid.

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since there is an infinity of possible vulnerabilities, but a finite number of threat types, the following can be stated

Answers

Threat-asset matrices can be constructed, but not vulnerability-asset matrices.

What is vulnerability information security?

A security system weakness, fault, or error that could be used by a threat agent to compromise a secure network is known as a security vulnerability.

What do you think is the primary threat for service providers?

Inadvertent acts, potential human mistake or failure, potential variations in service quality by service providers, and power anomalies are among the main dangers to physical security.

The different types of vulnerability

In the table below four different types of vulnerability have been identified, Human-social, Physical, Economic and Environmental and their associated direct and indirect losses.

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On Monday Janice worked on Math homework for 1/2 hour, Science homework for 38 minutes, piano for 20 minutes and Spelling homework for 15 minutes. How many minutes did Janice spend on homework?

Answers

Answer:

Either 83 or 103

Step-by-step explanation:

If you count piano as homework, the answer is 103. If piano is not homework, the answer is 83.

Solve the equation
-2 = 2 + v/4

Answers

The simplification of the equation - 2 = 2 + v/4 is v = - 16.

Equation, which is defined as the quality of being equal, is frequently represented by a mathematical expression with equal values on either side or by a situation in which numerous factors must be taken into account.

Consider the equation,

-2 = 2 + v/4

The equation can be rewritten as:

-2 = 2/1 + v/4

The least common multiple or LCM of 1 and 4 is 4.

-2 = ( 2 × 4) / (1 × 4) + v /4

-2 = 8/4 + v/4

-2 = ( 8 + v) /4

Multiplying each side of the equation by 4

- 2 × 4 = [ ( 8 + v ) / 4 ] × 4

- 8 = 8 + v

Subtracting each side of the equation by 8.

- 8 - 8 = 8 + v - 8

v = - 16

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Help ASAP! PLEASE!
The data set shows the numbers of hours that college students studied in one month.
What is the mean number of hours they studied in one month? Round answer to the tenths place. If answer is
a whole number then include a zero in the tenths place to have answer counted correct.
50, 68, 67, 97, 22, 19

Answers

Answer:

53.8

Step-by-step explanation:

Question is asking for the mean, mean is basically the average of all the values. To calculate the mean you add all the values together and divide by how many values there are.

Add all values together you get 323

Since you have 6 values we do 323÷6

Which will give us 53.83

Rounded would be 53.8

Pleeeeeease this is my second time asking, I need help.

Answers

The value of x in the figure is 4

How to determine the value of x in the figure?

From the attached figure, we have the following parameters:

DE = x + 1

BC = 4x - 6

The triangles ADX and ABC are similar triangles

Based on the representation of the sides, we have:

BC = 2 * DE

So, we have

2 * (x + 1) = 4x - 6

Expand

2x + 2 = 4x - 6

Evaluate the like terms

2x = 8

Divide by 2

x = 4

Hence, the value of x in the figure is 4

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Jarome is making pizza. He uses 2 1/2 cups of cheese for
every 2 3/4 pizzas. He has 6 1/4 cups of cheese left in the
bag. How many pizza pies can he make with the leftover
cheese?
6 pizzas

Answers

By using fundamental concepts of fractions we can conclude that Jarome can make 6 [tex]\frac{7}{8}[/tex] pizzas with the leftover cheese.

Define fractions.

Fractions are one of the most important aspects of arithmetic that we use in our daily lives. Fractions are denoted by the symbol / (also known as the fractional line) and represent a numerical value that is a portion of the total value, for example, a/b. Formulas for fractions aid in the development of rules for performing the four basic arithmetic operations of addition, subtraction, multiplication, and division.

Given data:

Cheese used for making 2 [tex]\frac{3}{4}[/tex] pizza = 2 [tex]\frac{1}{2}[/tex]

Cheese used for making 1 pizza = 2 [tex]\frac{1}{2}[/tex] ÷ 2 [tex]\frac{3}{4}[/tex]

Cheese used for making 1 pizza = 10/11

Number of pizza pies that can be made from 6 [tex]\frac{1}{4}[/tex] cheese = 6 [tex]\frac{1}{4}[/tex] ÷ 10/11

Number of pizza pies that can be made from 6 [tex]\frac{1}{4}[/tex] cheese = 55/8

Number of pizza pies that can be made from 6 [tex]\frac{1}{4}[/tex] cheese = 6 [tex]\frac{7}{8}[/tex].

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the normal model n(58,21) describes the distribution of weights of chicken eggs in grams. suppose that the weight of a randomly selected chicken egg has a z-score of -2.01. what is the weight of this egg in grams? round to the nearest hundredth of a gram.

Answers

The weight of the egg is 15.79 grams.

Normal Distribution:

Normal distribution, refers the probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Given,

The normal model n(58,21) describes the distribution of weights of chicken eggs in grams.

suppose that the weight of a randomly selected chicken egg has a z-score of -2.01.

Here we need to find the weight of the egg and we have to round off it to the nearest hundredth of gram.

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

So,

X ~ n(58, 21)

Where this means the value of

σ =  21

[tex]\mu[/tex] = 58

Apply the values on the formula,

[tex]Z=\frac{x-\mu}{\sigma}[/tex]

=> -2.01 = (x - 58) / 21

=> -2.01 x 21 = x - 58

=> -42.21 + 58 = x

=> x = 15.79

So, the weight of the egg is 15.79 grams.

When we round off it to the nearest hundredth then we get,

=> 15.79

Because there is no hundredth term in this one.

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A town has accumulated 4 inches of snow and the snow depth is increasing by 3 inches every hour . a nearby town has accumulated 1 inch and the depth is increasing by 5 inches every hour. how many hours will the snowfall of the towns be equal if the snow continues at the given rates?

Answers

The time in which the snowfall will be equal in both towns is 1.5 hours.

Time in which the snowfall will be equal in both town

The time in which the snowfall will be equal in both towns is calculated as follows;

let the time in which the snowfall will be equal in both towns = x

The equation becomes;

4 + 3x = 1 + 5x

collect similar terms together

4 - 1 = 5x - 3x

3 = 2x

divide both sides by 2

3/2 = 2x/2

3/2 = x

1.5 hours = x

Thus, the time in which the snowfall will be equal in both towns is 1.5 hours.

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find the domain rang and function

Answers

Answer:1,1 0

Step-by-step explanation:

A bike wheel is 26 inches in diameter. What is the bike wheel's diameter in millimeters (1 inch = 25.4 millimeters)?

Answers

we need to mulitply because for every inch there are 25.4 mm.


26.0 *25.4

660.4 mm.

so we know that the bikes wheels diameter is 660.4 millimeters

ab+6+ba-8+ab+b/a+2-3ba?
need answar

Answers

Answer:

this is the answer assuming the equation was meant to be simplified.

Step-by-step explanation:

A tree is standing next to a 40 foot high building the tree has a 9 foot shadow of the building has 18 foot shadow how tall is the tree rounded to the nearest foot

Answers

The height of the tree is 80 feet

How to determine the height of the tree?

The given parameters are:

Building = 40 ftShadow of the building = 9 ftShadow of the tree = 18 ft

The above parameters can be represented as:

Building : Shadow of the building = Tree : Shadow of the tree

This gives

40 : 9 = Tree : 18

Express as fraction

40/9 = Tree/18

Multiply both sides by 18

Tree = 80

Hence, the height of the tree is 80 feet

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A gallon of gasoline costs $2.96. Your car has a 25-gallon gas tank and can travel 28.8 miles on each gallon of gasoline.
a. Find the cost of filling your gas tank if it is already 38 38 full.
b. You take a trip of length 705 miles. How much money do you spend on gasoline?

Answers

The cost of filling your gas tank if it is already 38 38 full. $48.88 required to fill the gas tank if it is already 38% full.

Money do you spend on gasoline is $72.46 is spends on that trip.

Given that

A gallon of gasoline costs $2.96.Gas tank capacity of the given car = 25 gallonThat car can travelled 28.8 miles on each gallon of gasoline.

To find

The cost of filling your gas tank if it is already 38 % full.How much money spend on gasoline on the trip of 705 miles.

So according the question

We have

1 gallon of gasoline =  $2.96.Gas tank capacity = 25 gallon.28.8 miles travelled on each gallon of gasoline.

Now, for finding

a.) The cost of filling your gas tank if it is already 38 % full.

      38 % of 25 gallon = 9.5 gallon

      the unfilled part of the tank  = 25-9.5 = 15.5 gallon

      So the tank can filled 15.5 gallon of gasoline more now.

      The cost of 15.5 gallon of gasoline

                                   = 15.5 × cost of 1 gallon of gasoline

                                   = 15.5 × 2.96

                                   = $45.88

$48.88 required to fill the gas tank if it is already 38% full.

b.) How much money spend on gasoline on the trip of 705 miles.

    ∵ Car can travelled in 1 gallon of gasoline = 28.8 miles.

    ∴ Gasoline required to travel 705 miles = [tex]\frac{705}{28.8}[/tex]

                                                                        = 24.48 gallon.

      The cost of 24.48 gallon of gasoline

                                   = 24.48 × cost of 1 gallon of gasoline

                                   = 24.48 × 2.96

                                   = $72.46    

$72.46 is spends on that trip.

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Can someone help me with this question? Thanks.

Answers

Answer:

5 pounds I think hope this helped :)

Helpppp....
The work is due tmr

Answers

Answer:

My best guess is 172.05

Step-by-step explanation:

Answer: The answer is from sanakhatri5.

Step-by-step explanation: Area of star is 81.25cm

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