Shawn wants to construct a fence around his playground. The playground is circular in shape with a radius of 13ft. What is the length of fencing material he will need to fence one complete circle around his playground? (Use 3.14 for the value of π (pi))

Answer:

After calculating values from test statics we come to know that value of if null hypothesis is true then it will rejected

As critical values of z is ±1.96 after apply the test statics formula , we get the value of z that is - 4.50 As we consider the equation that

H₀ > z

Apply test statistic we fine the true value . So there is sufficient evidence to reject the claim.

Step-by-step explanation:

critical values z₀ = ±1.96; standardized test statistic z ≅ -4.50;

reject H₀

There is sufficient evidence to reject the claim.

The digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number,

A rational number is a number that can be expressed as a ratio or fraction of two integers (a numerator and a non-zero denominator).

We can see that the next three digits in the decimal points are 6, 6 and 6, respectively. Therefore, the decimal equivalent of 22/6 is:

22/6 = 3.666666...

We notice that the digits after the decimal point repeat in a pattern of 6's. This is because 22/6 is a rational number, which means that its decimal representation either terminates (ends) or repeats in a pattern. In this case, it repeats in a pattern of 6's.

Each of the digits after the decimal point will be 6 because this number is a rational number and repeating decimal with a repeating digit of 6.

The difference between 40 and the product of these digits and 6 is always 4.

To know more about rational number, visit:

https://brainly.com/question/22221295

#SPJ1

ANSWER:

D.

STEP-BY-STEP EXPLANATION:

In this case, we have the following:

3 quarters, 2 dimes, 3 nickels, and 1 penny.

Let Q, quarters

Let D, dimes

Let N, nickels

Let P, penny

Now,

Since there is only 1 penny, it cannot go out twice.

But in the case of Q, D and N, if they can come out twice, there are more than one.

Then you could choose one of each, just like this:

QD

QN

QP

DN

DP

NP

Therfore, the option that includes all those options is the last option D.

The unknown angles in the cyclic quadrilateral is as follows:

∠BGX = 74° (sum of angles in a triangle)

∠BGF = 180° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 100°(sum of angles in a triangle)

∠BCG  = 26°

∠BFG = 22°

A cyclic quadrilateral has all its angles equal to 360 degrees. The sum of angles in a cyclic quadrilateral is equals to 360 degrees.

Let's find the missing angles as follows:

∠BGX = 180 - 48 - 58 = 74° (sum of angles in a triangle)

∠BGF = 180 - 100 = 80° (opposite angles of cyclic quadrilateral are supplementary)

∠BCF = 180 - 22 - 58 = 100°(sum of angles in a triangle)

∠BCG = 100 - 74 = 26°

∠BFG ≅ CBF = 22°(alternate angles)

learn more on angles here: https://brainly.com/question/19430381

Answer:

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

Find the differences in the sequence  -11, -7, -3, 1, ...

The difference is common, so the sequence is an AP.

The nth term is:

Find the 52nd term:

Find the 52nd term using the given formula:

Find the previous term:

Find the common difference:

Answer:

\(\begin{aligned}\textsf{34)} \quad d&=4\\a_n&=4n-15\\a_{52}&=193\end{aligned}\)

\(\begin{aligned}\textsf{35)} \quad d&=-4\\a_{52}&=-238\end{aligned}\)

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Given sequence:

To determine if the given sequence is arithmetic, calculate the differences between consecutive terms.

\(a_4-a_3=1-(-3)=4\)

\(a_3-a_2=-3-(-7)=4\)

\(a_2-a_1=-7-(-11)=4\)

As the differences are constant, the sequence is arithmetic, with common difference, d = 4.

The explicit formula for an arithmetic sequence is:

\(\boxed{a_n=a+(n-1)d}\)

where:

To find the explicit formula for the given sequence, substitute a = -11 and d = 4 into the formula:

\(\begin{aligned}a_n&=-11+(n-1)4\\&=-11+4n-4\\&=4n-15\end{aligned}\)

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=4(52)-15\\&=208-15\\&=193\end{aligned}\)

Therefore, the 52nd term is a₅₂ = 193.

\(\hrulefill\)

Given explicit formula for an arithmetic sequence:

\(a_n=-30-4n\)

To find the common difference, we need to compare it with the explicit formula for the nth term:

\(\begin{aligned}a_n&=a+(n-1)d\\&=a+dn-d\\&=a-d+dn\end{aligned}\)

The coefficient of the n-term is -4, therefore, the common difference is d = -4.

To find the 52nd term, simply substitute n = 52 into the formula:

\(\begin{aligned}a_{52}&=-30-4(52)\\&=-30-208\\&=-238\end{aligned}\)

Therefore, the 52nd term is a₅₂ = -238.

Answer:

x < -4

Step-by-step explanation:

First step is to subtract 9 from each side to isolate the variable, x.

x + 9 - 9 < 5 - 9

Solve

x < -4

hope this helps :)

p.s. i really need brainliest

Answer:

\(\frac{7}{2}\)

Step-by-step explanation:

\(2 \frac{5}{8} = \frac{21}{8}\)

Divide \(\frac{21}{8}\) by \(\frac{3}{4}\)

\(\frac{21}{8}\) × \(\frac{4}{3}\) = \(\frac{7}{2}\)

Answer:

Step-by-step explanation:

$499.99 - 15% will give your answers

Answer:

424.99

Step-by-step explanation:

Answer:

I think it'

is A and B

Step-by-step explanation:

hope hwlps

It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.

In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.

The graph is attached below.

Learn more about expressions on:

https://brainly.com/question/723406

#SPJ1

Answer:

equation:  C = 15 - R

C = 15 - 7

C = 8

Step-by-step explanation:

Okay first of all stan the karl pfp

The surface area of the pyramid, given the dimensions of the pyramid can be found to be 1, 188 m ²

The surface area of a pyramid can be found by the formula :

= Base area of pyramid + 12 x ( Perimeter of the base x Slant height )

The surface area of this pyramid is :

= ( 6 x 6 ) + 12 x ( ( 6 + 6 + 6 + 6 ) x 4 )

= 36 + 12 x ( 24 x 4 )

= 36 + 12 x 96

= 1, 188 m ²

In conclusion, the surface area of the pyramid is 1, 188 m ².

Find out more on surface area at https://brainly.com/question/16519513

#SPJ1

A container holds 2300 ounces fruit punch. A factory places the fruit punch into 32-ounce bottles, factory can produce 71  full bottles.

The uncia, an ancient Roman unit of measurement, is the source of the ounce (/ans/), any of numerous possible measures of mass, weight, or volume.

Although it is frequently used outside of the Anglosphere, it is predominantly employed in the United States to measure packaged foods and food portions, postal items, the areal density of fabric and paper, boxing gloves, and other items.

Although the avoirdupois ounce is the standard unit of mass for most applications, the actual weight of precious metals like gold, silver, platinum, palladium, rhodium, etc. is measured in "troy ounces," which are equal to 31.1034768 g.

Solving the question,

\(\frac{2300}{32} = 71.875\)

Thus, we can say that a factory can produce 71 full bottles.

To know more about ounce visit: https://brainly.com/question/26950819

#SPJ13

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer:

6:8

6/8 or 3/4

Step-by-step explanation:

Answer: The ratio of girls to boys is 6:8, or simplified is 3:4

Step-by-step explanation:

Since there are 6 girls and 8 boys, the ratio is 6:8. If you simplify it, the ratio of girls to boys is 3:4, because 6:8 ÷ 2 = 3:4.

Answer:

The answer to your question is x = 4

x=4

Step-by-step explanation:

To start figuring this out, you need to combine like terms.

To start, you can combine all terms containing the variable x, which is 2x and 3x. This would then make the equation 5x+7-2=25.

You then need to combing the singular numbers, 7 and -2. Doing this brings the equation to 5x+5=25.

From here, subtract 5 from both sides to get you 5x=20.

Finally, you divide both sides by 5 to get you x=4.

I hope this helped!! Let me know if you need any further help!

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:c

Step-by-step explanation:

Answer:

Step-by-step explanation:

So,

24 colored pencils is $23.28.

"x" would be the price for each colored pencils.

To find the price for each pencil:

$23.28/24 = 97/100 or $0.97

Equation and Substitution:

24(x) = $23.28

We will switch 24 to the other side.

The signs will also be changed (Example: multiply to divide, add to substract)

x = $23.28/24

x = $0.97

From the information given, the entrance to a state park costs $5 per vehicle, plus $2 per person in the vehicle. Given that 4 people entered the one vehicle, the amount that would be paid for the vehicle is $5. Sinec it is $2 per person, the amount for 4 persons would be 2 * 4 = 8

Thus, the total cost would be

5 + 8 = $13

Answer:

√384 esa es la respuesta ayudame a mi porfa

The purchase value of an office computer is $12,500. Its annual depreciation is $1875. then the value of the computer after 6 years is

1250

What is the simple definition of depreciation?

The term depreciation refers to an accounting method used to allocate the cost of a tangible or physical asset over its useful life. Depreciation represents how much of an asset's value has been used.

The value of the computer is decreasing by $1875 annually per year. So the amount of decrease in 6 years is: 6×1875=$11250 6 × 1875 = $ 11250

now

The purchase value of an office computer is $12,500

therefore

12500- 11250

= 1250

learn more about of amount here

https://brainly.com/question/29994977

#SPJ4

Answer:

Hence, the smallest interior angle of this octagon is 100

Step-by-step explanation:

Final answer 100

The lines intercept at the point (3, 9), and:

A system of linear equations can have one solution, no solutions, and infinite solutions, these are the only options.

If we have a system of equations, the solutions of the system are the points where the graphs of the equations intercept.

Here we know that the solution of the system of linaer equations is (3, 9), this means that the interception of the linear equations is at that point.

Can you have more than one solution to a Linear system of equations?

Yes, you can have:

no solution.

one solution

infinite solutions.

These are the 3 options.

Learn more about systems of equations at.

https://brainly.com/question/13729904

#SPJ1

Answer:

See below!

Step-by-step explanation:

15 - Put an open dot on 2, and draw a shaded arrow going right

16 - Put a closed dot on -4, and draw a shaded arrow going right

17 - Put an open dot on 3, and draw a shaded arrow going left

18 - Put a closed dot on 6 and draw a shaded arrow going left

19 - Put an open dot on -3 and draw a shaded arrow going right

20 - Put a closed dot on 3 and draw a shaded arrow going right

21 - Put a closed dot on 5 and draw a shaded arrow going left

22 - Put a closed dot on -3 and draw a shaded arrow going left

23 - Put an open dot on 4 and draw a shaded arrow going left

24 - Put an open dot on -1 and draw a shaded arrow going right

25 - Put an open dot on -7 and draw a shaded arrow going left

Answer:

I added a picture hope it helps

Answer:

49.02 ft

Step-by-step explanation:

See the attached picture for a diagram.

Since the angle is 35 degrees and the only side length we know is the 75 ft long length of the kite (which is the hypotenuse), you would use sin(35) = x/75 where x is the side opposite of the 35 degree angle. Solve for x by doing sin(35) * 75, which equals 43.01823... Make sure you add 6ft from the height of the man. This would make the kite's total height above the ground 49.01823... Round according to the directions you've been given.

Hence , kite flies  49.01 above the ground is the kite

The angle of elevation is a widely used topic in trigonometry that deals with height and distance. It is defined as the angle formed by the horizontal plane and the oblique line connecting the observer's eye to an object above him. This angle is eventually generated above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name implies.

Given angle of elevation is 35degrees

hypotenuse=75 and perpendicular=x

Hence \(sin 35^{0}\)=\(\frac{x}{75}\)

\(sin 35^{0}*75\)=x

49.01=x

Hence , kite flies  49.01 above the ground is the kite

Learn more about  elevation https://brainly.com/question/88158

#SPJ2

The focal length of the parabola whose coefficient a is equal to 9, is 1/36.

What is focal length?

In a two-dimensional plane, a parabola is a curve that is symmetrical about the axes, passes through the vertex, and is perpendicular to the directrix. In other words, the locus of points that are equally spaced apart from the directrix and the fixed point, let's call it focus, is a parabola. The distance along the axis of symmetry from the vertex to the focus of the parabola is known as its focal length.

The focal length of a parabola is calculated as c' = 1/4a

In the given question, c' is the focal length and the coefficient a is the general quadratic equation and a=9.

Substituting the above values, in the focal length equation, we get,

c' = 1/(4*9)

⇒ c' = 1/36

Hence, the focal length of the parabola whose coefficient a is equal to 9, is 1/36.

To know more about focal length visit:

brainly.com/question/1337148

#SPJ1