The playground pictured here is having rubber flooring installed to help protect children against injuries from falls. If the cost, including installation, is $8.00 per square foot, what is the total cost of installing the surface?

The Playground Pictured Here Is Having Rubber Flooring Installed To Help Protect Children Against Injuries

Answers

Answer 1

Answer:

$6,672

Step-by-step explanation:

Area of Playground

Area (rectangle) + 2 x Area (semicircle)26 x 20 + 2 x 3.14 x 10² x 1/2520 + 314834 square feet

Cost

$8.00 per square feet$8 x 834$6,672
Answer 2

Answer:

Using π:  $6,673.27 (nearest cent)

Using π = 3.14:  $6,672

Step-by-step explanation:

Separate the figure into a rectangle and two semicircles.

Area of a rectangle = width × length

                                = 20 ft × 26 ft

                                = 520 ft²

Area of a semicircle = 1/2 π r²

                                 = 1/2 π · 10²

                                 = 50π ft²

⇒ Total area = area of rectangle + (2 × area of semicircle)

                     = 520 + (2 × 50π)

                    = (520 + 100π) ft²

⇒ Total cost = area × cost

                     = (520 + 100π) × $8

                     = $6,673.27 (nearest cent)

**using π = 3.14**

Total cost = (520 + 100 × 3.14) × $8 = $6,672


Related Questions

50 points please help

The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

Answers

#a

H²=P²+B²

P and B are sides of square

H²=22²+22²H²=484+484H²=968H≈22√2ftH≈31ft

#b

Apply cosines

cos45=22/H1/√2=22/HH=22√2ft=31ft

= $3500
= $4750
What is the value of each?

Answers

Answer:

The boat is 2000 and the bird is 750.

Step-by-step explanation:

1. 750+750=1500

1500+2000=3500

2. 2000+2000=4000

4000+750=4750

Identify the center and radius of each equation (x-5)² + (y+7)² =64

Answers

Answer:

Radius: 8

Center: (5,-7)

Step-by-step explanation:

(x−a)2 + (y−b)2 = r2

To find the radius: find the square root of 64

To find the center, get the opposite of -5 and 7

opposites are: 5, -7

center is (5,-7)

3. Find the probability that a point chosen randomly inside the rectangle is in each given shape. Round to
the nearest hundredth.

Answers

Answer:

20% probability

Step-by-step explanation:

First, we need to calculate the area of all the figures inside the rectangle.

Area of triangle= 1/2 BH

So, 3x2=(6)

Area of Square= L^2

3x3=(9)

Area of rectangle= LxW

=60.

60+9+6= 75.

75 is the total area.

Now, lets find the added area of only the triangle and square.

9+6= 15

The probability will be 15/75=

Convert into percent form

= 20%

Hope this helps and please mark me brainliest :)

Answer:

20% probability

Step-by-step explanation:

20% probability

20% probability

20% probability

20% probability

combine the like terms to create an equivalent expression
-3z - z

Answers

Answer:

Coefficient 1.2. Exponent 1.3. Variable or Base

Step-by-step explanation:

Use the diagram to write an equation that describes the position and the radius of ⊙P.




(x – 4)2 + (y + 2)2 = 16


(x + 4)2 + (y – 2)2 = 16


(x + 4)2 + (y – 2)2 = 4


(x – 4)2 + (y + 2)2 = 4

Answers

The equation of circle p with center at (-4, 2) and a radius of 4 units is (x + 4)² + (y - 2)² = 16

What is an equation?

An equation is an expression that shows the relationship  between two or more numbers and variables.

The circle p has center at (-4, 2) with a radius of 4 units, hence, the equation is:

(x - (-4))² + (y - 2)² = 4²

(x + 4)² + (y - 2)² = 16

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Let assume "M" is the midpoint of the segment AB. Find AM. AM= x+7 MB=2x A. 7 B. 14 C. 12 D. 9

Answers

The length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.

What is midpoint?

For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.

Let assume "M" is the midpoint of the segment AB. The value of has to be found out. It is given that,

[tex]AM= x+7 \\MB=2x[/tex]

In this line segment AB, M is midpoint. Thus, it divide the line segment into two equal parts of AM and MB.  Thus,

[tex]x+7=2x\\2x-x=7\\x=7[/tex]

Put the value of x in AM,

[tex]AM=x+7\\AM=7+7\\AM=14\rm\; units[/tex]

Thus, the length of the line segment AM, which is a part of line segment AB when it is divided into two equal parts by Midpoint M is 14 units.

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If f(x)= x^3 + 6x^2 - 9x + 14 and x-2 is a factor of f(x), then find all of the zeros of f(x) algebraically.

Answers

Answer

Write properties of function:

x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]

factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]

Explanation

Write properties of function: Write properties of function:

x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]

factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]

Answer: Write properties of function:

x intercept/zero: [tex]x_1=-7[/tex]; [tex]x_2=-1[/tex]; [tex]x_3=2[/tex]

factorized form: [tex]f(x)=(x+1)(x-2)(x+7)[/tex]

50 points each question (visit profile for more). Please help. How do I solve?

Answers

Answer:

Check the image of solution

write equivalent fractions for 3\5 and 1\4 using 20 as the conman denominator

Answers

Answer:

12/20=3/5   5/20=1/4 so the answer would be 12/20 + 5/20

A two-variable inequality is shown in the graph.



Which point is not included in the solution set for the inequality?

(–1, 3)
(0, 4)
(1, 5)
(2, 4)

Answers

The point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).

How to graph the inequality?

Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.

A two-variable inequality is shown in the graph. It is a parabola.  The vertex form of parabola is the equation form of quadratic equation which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.

The standard equation of the vertex form of parabola is given as,

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

Here, (h, k) is the vertex point. In the graph, vertex points are (1,2). Thus, the equation become,

[tex]y=a(x-1)^2+2\\[/tex]

By the point of graph (0,3), find the value of a,

[tex]3=a(0-1)^2+2\\3=a+2\\a=3-2\\a=1[/tex]

Thus, the equation become,

[tex]y=1(x-1)^2+2\\y=x^2-2x+1+2\\y=x^2-2x+3\\[/tex]

The graph of this line is attached below. In this graph only point (-1,3), does not fall hence, does not satisfy the equation.

Thus, the point which is not included in the solution set for the inequality of the two-variable inequality shown in the graph is (-1,3).

Learn more about the graph of the inequality here;

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Answer:

Its (-1,3)

Step-by-step explanation:

A cone has a height of 6 inches and a radius of 7 inches. What is the volume? Keep your answer in terms of pi.

Answers

Answer:

V≈307.88in³

Step-by-step explanation:

V=πr2h

3=π·72·6

3≈307.87608in³

Answer:

[tex]98\pi[/tex]

Step-by-step explanation:

The formula of the volume of a cone is given by [tex]V=\frac{\pi r^2h}{3}[/tex], which, applying the values yields [tex]V=\frac{\pi 7^26}{3} = 98\pi[/tex]

PLEASE HELP I WILL GIVE 40 pts

Answers

Answer:

option C is the answer

Step-by-step explanation:

I think it will help you

Help Me On This!!

[tex] \\ \\ \\ [/tex]

Answers

Answer:

First Find the Radius of Cake by dividing 40/2

Now Find Area of the cake of Bottom

And Then Use the Formula to calculate volume of Circle

Cross Section Area=π Square

Bole of Circle 4/3π× radius cube

Answer:

24,727.5 cm³

Step-by-step explanation:

Information to keep in mind

r₁ = 20 cm (bottom layer)r₂ = 20/2 = 10 cm (middle layer)r₃ = 10/2 = 5 cm (top layer)h (of each layer) = 15 cm

Formula of a cylinder

V = πr²h

Volume (total)

V = πr₁²h + πr₂²h + πr₃²hV = πh (r₁² + r₂² + r₃²)V = 3.14 x 15 ([20]² + [10]² + [5]²)V = 47.1 (400 + 100 + 25)V = 47.1 (525)V = 24,727.5 cm³

What is the total of all 3 tickets below. use the menu to solve

Answers

Answer:

$103.14

Step-by-step explanation:

The calculation of slips are amounted to a total of $103.14

Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.

Answers

Answer:

the answer is in the picture

write three addition problems that have a sum of -2

Answers

Answer:

1. -5+3

2. -6+4

3. -8+6

Step-by-step explanation:

they all will equal -2

what is 34x50^2+89-89 divided by 89

Answers

Answer:

(34×(50^2))+89-(89÷89)=8,5088

Step-by-step explanation:

hope this helps if not let me know have a great day

help me please what is 5y – 4n

Answers

Answer:

8

Step-by-step explanation:

y = 4 and n = 3

5y - 4n = 5(4) - 4(3)

= 12

Answer:

−4n+5y

Step-by-step explanation:

Triangle PQR has ZP = 63.5° and ZQ = 51.2° and r = 6.3 cm. Find the other two sides and unknown angle. Options :
A R = 65.3°, p = 6.21 cm and q = 5.40 cm
B R = 65.3°, p = 5.21 cm and q = 5.40 cm
C R = 65.3°, p = 6.21 cm and q =4.40 cm
D R = 65.3°, p = 3.21 cm and q = 4.40 cm and q = 4.40 cm ​

Answers

Answer:

ben told it was 78

Step-by-step explanation:

ben said that

Larry owns an automobile dealership. Last week, he received a shipment of 160 automobiles.
He now has 938 automobiles for sale. How many automobiles did Larry have before the
shipment?

Answers

Larry had 778 automobiles before he had the shipment.

Answer asap and only if yk 100% its correct

Answers

Answer:

1.35 square miles I think

Step-by-step explanation:

Answer:

Julie travels 1.35 miles on the same path every day.

Area = 1.35 miles

Step-by-step explanation:

What we know so far:

- It takes 2.4 miles to walk from house to school.

- The distance from the park to school is 2.1 miles.

- It takes 1.5 miles to walk from your house to the park.

The area of a triangle is 0.5 or 1/2 x base x height.

As a result, 1.5 x 1.8 divided by two equals 1.35.

So, Julie walks 1.35 miles every day on the same route.

Area = 1.35 miles

Hope this helps! :D Brainliest?

dan makes pizza. he puts 6 pepperoni on each pizza. he makes 7 pizzas.

how many pepperonis does he use?

Answers

if he has 6 pepperoni and he puts them on 7 pizzas

6x7=42

Which of the following scenarios MUST represent two independent events?

P(blue) = 20%, P(green) = 60%, P(blue and green) = 13%

P(blue) = 40%, P(green) = 30%, P(blue and green) = 13%

P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

P(blue) = 80%, P(green) = 20%, P(blue and green) = 18%

Answers

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

Which graph represents an exponential function?

Answers

Answer:

The first one

Step-by-step explanation:

As x increases, the value of y approaches infinity. As x decreases, the value of y approaches 0.

Hope it helps

Each member of a 5-member cross-country team runs a course. Their individual times are as follows:

2 hours 17 minutes
2 hours 48 minutes
1 hour 53 minutes
2 hours 19 minutes
1 hour 38 minutes

The team’s overall score is the average number of minutes it takes for its members to complete the course. What is this team’s score?

Answers

Step-by-step explanation:

the average is the sum of all data points divided by the number of data points (5).

2 hours 17 minutes

2 hours 48 minutes

1 hour 53 minutes

2 hours 19 minutes

1 hour 38 minutes

------------------------------

8 hours 175 minutes

175 minutes = 2 hours 55 minutes

so, we need to add this to the 8 hours and get

10 hours 55 minutes

this we need to divide by 5 for the average time

(10 hours 55 minutes) / 5 = 2 hours 11 minutes =

= 2×60 + 11 = 120 + 11 = 131 minutes.

so, their score is 131.

Given: r(x) = x3 - 7, k(x) = 5 ln (2x) Find: (k ○ r) (x)

Answers

The value of (k ○ r) (x) from the given parameters in the task content is; 5 ln(2x³ -14)

What is (k ○ r) (x) from the task content?

If follows from the task content that;

r(x) = x³ - 7 and k(x) = 5 ln (2x)

It therefore follows that;

(k ○ r) (x) = k(r(x)) = 5 ln (2(x³-7)).

On this note, the expression which represents (k ○ r) (x) is; 5 ln(2x³ -14).

Read more on nested functions;

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A caterpillar moves at a constant speed of 1/2 inches per second. Let x represent the time travel in seconds and y represent the distant travel in inches. I Really need help with this!

Answers

Step-by-step explanation:

Expression = 1/2x = y

Easy algebraic expression

~Done~

The first to answer first will brainliest

Answers

Answer:

[tex]\sf \left(-\dfrac{1}{2},-\dfrac{1}{8}\right)[/tex]

See the graph below.

Equation: y = x³

Only (-0.5, -0.125) lies on the graph of the equation y = x³

option D is correct.

Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.

Answers

Answer:

984

Step-by-step explanation:

Solve for the base: 14 x 10

Solve for the sides: 2(1/2(10 x 24))

Solve for the backside: 10 x 24

Solve for the slanted plane or front: 14 x 26

Answer:

the answer is in the picture

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