A museum groundskeeper is creating a semicircular statuary garden with a diameter of 27 feet. There will be a fence around the garden. The fencing costs $7.75 per linear foot. About how much will the fencing cost altogether? Round to the nearest hundredth. Use 3.14 for π.


The fencing will cost about $
.

Answers

Answer 1

To calculate the cost of the fence, we have to find the length of the semi-circle. The cost of fencing the garden would be $328.52 approximately

Circumference of a Circle

To find the length of the fence, we have to calculate the circumference of the semi-circle and divide it by 2

[tex]C = 2\pi r\\l = \frac{c}{2} \\l = \pi r[/tex]

Data;

diameter = 27ft r = diameter/2 = 13.5ft π = 3.14

Let's substitute the values and calculate the length of the fence.

[tex]l = \pi r\\l = 3.14 * 13.5\\l = 42.39ft[/tex]

The length of the fence is equal to 42.39ft

The cost of fencing would be

[tex]42.39 * 7.75 = $328.5225[/tex]

The cost of fencing the garden would be $328.52 approximately

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Related Questions

which statement best describes the polynomial?

Answers

The answer I think should be B ok
The answer for this question is b

4 < x < 7
Please give me a proper explanation.

Answers

An explanation for 4 < x < 7 is that 4 is less than and x is less than 7.

How to explain the information?

The mathematical expression that is given is 4 < x < 7. It should be noted that this implies that 4 is less than and x is less than 7.

In this case, the appropriate values that can fit x in this situation will be 5 and 6.

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Part D
What is the difference of the earnings of movies C and D for that week?

Answers

The difference of the earnings of movies C and D for that week is $10,652,270.46 .

What is the difference in earnings?

Subtraction is used to determine the difference between two or more numbers.

The difference = earnings of movie D - earnings of movie C

$34.311,887.98 - 23,659,617.52 = $10,652,270.46

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Please answer asap!!!!!! I Inserted photo. Thankssss

Answers

Answer:

2nd option

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

given

6xy³z × 3x²yx²

= 6 × 3 × x × x² × x² × y³ × y × z

= 18 × [tex]x^{(1+2+2)}[/tex] × [tex]y^{(3+1)}[/tex] × z

= 18[tex]x^{5}[/tex][tex]y^{4}[/tex]z

Help! I need to finish but I'm stuck! Will give brainliest!
The shaded figure below is composed of a trapezoid and a semicircle on a coordinate plane.



Which of the following expressions represents the area of the shaded figure?

2(18 + π)
2(12 + π)
4(9 + 2 π)
8(3 + π)

Answers

Answer:

2(12 + π)

Step-by-step explanation:

This will get you about 30and even by just counting squares you will get the closest to this answer.

If m∠2 = 137 and m∠P = 22, what is m∠O?

Answers

Answer:

The answer is 21

Step-by-step explanation:

This should help you

1. What is the area of the polygon? Show your work. ​

Answers

area= (#sides • length of 1 side • apothem{that line}) divided by 2

area = (6 • 4 • 8) = 192
area = 192/2
area = 96

i hope this is correct, but it at least gives you something

I need help what's the answer ​

Answers

Answer:

[tex]y = 2x - 5[/tex]

Step-by-step explanation:

slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)

First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.

We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.

[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]

This means your slope is 2, which means [tex]m[/tex] is 2.

Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.

Now we can plug in the values into our original equation to get the equation of the line.

[tex]y = 2x - 5[/tex]

That is the answer

- Kan Academy Advance

PLEASE HELP ME :)
At a track meet, you time a friend running 100 m in 11.00 seconds. The officials time her as well. You find that you have an error of 3.09%. What are the two possible official times your friend ran the 100 meters?

Answers

Answer:

sorry but i need the answer too pls answer the question

True or False

1. The data given in interval is a grouped data.
2. The specific point where the upper and lower limit meets is the data value.
3. The gap between each data value is called interval.
4. The number of times an observation occurs or appears in a data set is called frequency distribution table.
5. The lowest number in the class interval is the upper limit.​

Answers

Answer:

true

false

true

false

true

There is £80 in a pot which is shared out amongst 3 people. Anne gets £20 Mark gets £35 and Ben gets £25. What ratio of the money do all of the people get?

Answers

Ratio of Anne : Mark : Ben = 20 : 35 : 25
= 4 : 7 : 5 ( total 16 parts )

Anne = 4/16 x £80 = £20

Mark = 7/16 x £80 = £35

Ben = 5/16 x £80 = £25

For positive acute angles A and B, it is known that sin A = 24/25 and cos B = 11/61
Find the value of cos(A + B) in simplest form

Answers

Answer:

Rounded to 0.42. Not rounded: 0.41729656785

Step-by-step explanation:

24/25 = 0.96

11/61 = 0.180327869

Add those together.

Answer for that: 1.14032787

Find the cos for the answer.

Which is 0.41729656785 to 0.42

What Is The Formula To Calculate Total Surface Area??

Answers

Answer:

you need to calculate the areas for each side of the figure and then add it all up

Step-by-step explanation:

adding all the areas on the surface: the areas of the base, top, and lateral surfaces (sides) of the object.

A survey was conducted by a pet store to find the number of cats and dogs owned by people in a neighborhood block. The results of the survey are represented in this Bar Graph. Which statement describes why the Bar Graph is not properly drawn? A. The vertical scale is too high. B. The vertical scale should not start at zero. C. The bars are not the same width. D. The bars are not the same height.

Answers

The Anwser is D of maybe C

Answer: C

Step-by-step explanation:

The construction crew for a new house will dig a hole in the shape of a rectangular prism for the house's foundation. the hole will be 48ft long, 39ft wide, and 9ft deep. to haul away all of the dirt from the hole, a dump truck will take trips to a nearby landfill. the crew knows the amount of dirt the truck can hold each trip in cubic yards.

(a) find the volume of dirt that will be hauled away in cubic yards. use the table of conversion facts, as needed.
____yd3???

(b) each trip, the truck can haul away 11yd3 of dirt. to save gas, the crew wants to take as few trips as necessary to haul all of the dirt away. since all of the dirt needs to be hauled away, the crew might have to take a partial load for one trip. how many trips are needed to haul away all of the dirt? count each trip it makes the same, even if the truck isn't full.
_______trips???


c) if it costs $1175 for each trip that the truck makes, how much will it cost to haul away all the dirt?

$____ ???

Answers

The volume of the dirt hauled away is 624 yards³The number of trips needed to haul away the dirt is 57 tripsThe total cost of the trips is $66,975.What is the total cost?

The first step is to convert feet to yards.

1 feet = 1/3 yards

48 / 3 = 16 yards 39 / 3 = 13 yards 9/3 = 3 yards

Volume of the dirt hauled away = 16 x 13 x 3 = 624 yards³

Number of trips needed to haul away the dirt = 624 / 11 = 56. 7 = 57 trips

Total cost = 57 x 1175 = $66,975

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HURRY!!!!

If p -> q is true and q is true, then p is ____ true.
-always
-sometimes
-never
If p is true and q is true, then ~ p -> ~ q is ____ true.
-always
-sometimes
-never

Answers

Sometimes. p ⇒ q is true if both p and q are true, or whenever p is false.

Always. ¬ p ⇒ ¬q is true if ¬p and ¬q are both true (which means p and q are both false), or whenever ¬p is false (p is true).

1. If mPQ = 130°, find mRQ.

Answers

Answer:

mRQ = 50

Step-by-step explanation:

180-130=50

Need help! :(((((((((((((((((((((((((

Answers

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

it's so simple dude

Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.

So, the probability of getting two yellows is 1/3

Do you agree or disagree? Explain your thinking.

Answers

Answer:

I disagree.

Step-by-step explanation:

The reasoning may be wrong but I believe it is disagree.

I am going to keep it simple.

On the spinner there are 4 options, 3 for red and 1 for yellow.

Therefore, we have a 1/4 chance to get a yellow once.

If we get a yellow again, it is another. 1/4 chance.

1/4 x 1/4 is 1/16, considerably smaller than 1/3.

Answer:

From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore,

[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]

[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]

Multiplication Rule for Independent Events

For independent events A and B:

[tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]

Therefore,

[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]

Conclusion

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

A line with a slope of -2 passes through the point (3,-1). Which of the following is the equation of the
line?

Answers

Answer:

C.) y = -2x + 5

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".

m = -2        x = 3       y = -1

y = mx + b                         <---- General structure

y = -2x + b                         <---- Plug -2 in for "m"

-1 = -2(3) + b                      <---- Plug "x" and "y" values in from point

-1 = -6 + b                          <---- Multiply -2 and 3

5 = b                                  <---- Add 6 to both sides

Therefore, the equation of the line is:

y = -2x + 5

F(x)=2x^2+6x-4
G(x)=5x^3-6x^2-3

Find (f+g)(x)

Answers

A function assigns the values. The value of (f+g)(x) is (5x³ - 4x² - 6x - 7).

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given F(x)=2x²+6x-4 and G(x)=5x³-6x²-3, therefore, the value of (f+g)(x) is,

(f+g)(x) = f(x) + g(x)

           = 2x²+6x-4 + 5x³-6x²-3

           = 5x³ - 6x² + 2x² - 6x - 4 - 3

           = 5x³ - 4x² - 6x - 7

Hence, the value of (f+g)(x) is (5x³ - 4x² - 6x - 7).

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Susan collects softball cards in her collection she had 128 she decides to gives 3 eights

Answers

Answer:

need more information to answer for you.

Step-by-step explanation:


If f(x) = 2x2 + 3 and g(x)=x2-7, find (f- g)(x).

Answers

The difference of the given functions is x^2 + 10

Difference of functions

Given the following functions

f(x) = 2x^2 + 3 and

g(x)=x^2-7

Take the difference

(f-g)(x) = 2x^2 + 3 - (x^2 - 7)

(f-g)(x) = 2x^2 - x^2 +3 + 7

(f-g)(x) = x^2 + 10

Hence the difference of the given functions is x^2 + 10

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As an estimation we are told £3 is €4.
Convert £10.50 to euros.

Answers

£10.50=10.01 euros
Ok

on a piece of paper, graph y=3/4x-3 use the graph to find the x-intercept of the line

Answers

The x-intercept of the line is (4, 0)

How to find the x-intercept of a line

The x-intercept of a line is the point where the line crosses the x-axis. Given the equation below:

y=3/4x-3

The x-intercept occurs at the point where y = 0. Substitute:

0 = 3/4x - 3

3/4x  = 3

3x = 12

x = 4

Hence the x-intercept of the line is (4, 0)

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What is the value of 6 in 640.31?

Answers

Answer:

hundred

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

A grab bag contains 2 football cards and 8 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. Determine whether the events are independent. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal.

Answers

The events are not independent.

The probability of selecting a football card and a basketball card is 0.16.

What is the probability?

Probability is the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of selecting a football card and a basketball card = (number of football cards / total number of cards) x (number of basketball cards / total number of cards)

2/10 x 8/10 = 0.16

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How can I solve this math problem.

Answers

Answer:4.6

Step-by-step explanation:

Use the pythagorean theorem, then find the square root using your calculator.

Solve the following quadratic by
completing the square.
y = x² + 4x - 2
X
x = [?] ± √ [ ]
Please help me

Answers

Answer:

x = -2+- sqrt(6)

Step-by-step explanation:

Using completing the square, let x^2+4x-2 = 0 and solve the steps to get the answerx^2 + 4x - 2 =0

add 2 to both sides to get x^2 + 4x = 2

then add 4 to both sides to get x^2 + 4x + 4 = 6

Get the left hand side to the square formate: (x+2)^2 = 6

then simplify x+2 = sqrt(6) or x+2 = -sqrt(6)

so x = sqrt(6) - 2 or x = -sqrt(6) -2

PotrzebnaPomoc!
Mam nietypowe pytanie, ale jak się liczy objętość graniastosłupa, to na końcu zawsze jest do sześcianu?
W sensie jak mamy jakiś zadanie np. Prostopadloscian o wymiarach 2cm X 1dm X 5mm (2cm X 10cm X 0,5), to wyjdzie na 10cm, ale do trzeciej. I czy w każdym graniastosłupie wyjdzie do sześcianu na końcu? W każdym tego typu zadaniu? Proszę o pomoc, bo ważne, jak ktoś nie wie, to niech nie pisze, pls

Answers

Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.

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